Which of the following is a multiple of 69?
138
207
276
345
of 10
Multiples of 69 – 100+ List, Examples
Multiples of 69 – 100+ List, Examples
Multiples of 69 are numbers that can be expressed as 69 times an integer. Starting from 69, these numbers follow a consistent pattern, increasing by 69 each time (e.g., 69, 138, 207, 276, 345, etc.). Multiples of 69 play a fundamental role in arithmetic and number theory. They help in understanding number patterns and serve as building blocks for more complex mathematical concepts. Recognizing and working with multiples of 69 is essential for performing various arithmetic operations efficiently.
What are Multiples of 69?
Multiples of 69 are numbers that can be expressed as 69×n, where n is an integer. These numbers are always even and include values like 69, 138, 207, 276, and so on.
Prime Factorization of 69 : 3×23
First 10 Multiples of 69 are 69, 138, 207, 276, 345, 414, 483, 552, 621, 690
For example, 69, 138, 207 and 276 are all multiples of 69, 130 is not a multiple of 69 for the following reasons:
| Number | Reason | Remainder |
|---|---|---|
| 69 | 69 x 1 = 69, which is a product of 69 and an integer | 0 |
| 138 | 69 x 2 = 138, which is a product of 69 and an integer | 0 |
| 207 | 69 x 3 = 207, which is a product of 69 and an integer | 0 |
| 276 | 69 x 4 = 276, which is a product of 69 and an integer | 0 |
| 130 | 130 ÷ 69 ≠ integer, as it equals approximately 1.884, so it cannot be expressed as 69 x n | 61 |
List of First 100 Multiples of 69 with Remainders
| Number | Reason | Remainder |
|---|---|---|
| 69 | 69 x 1 = 69, which is a product of 69 and an integer | 0 |
| 138 | 69 x 2 = 138, which is a product of 69 and an integer | 0 |
| 207 | 69 x 3 = 207, which is a product of 69 and an integer | 0 |
| 276 | 69 x 4 = 276, which is a product of 69 and an integer | 0 |
| 345 | 69 x 5 = 345, which is a product of 69 and an integer | 0 |
| 414 | 69 x 6 = 414, which is a product of 69 and an integer | 0 |
| 483 | 69 x 7 = 483, which is a product of 69 and an integer | 0 |
| 552 | 69 x 8 = 552, which is a product of 69 and an integer | 0 |
| 621 | 69 x 9 = 621, which is a product of 69 and an integer | 0 |
| 690 | 69 x 10 = 690, which is a product of 69 and an integer | 0 |
| 759 | 69 x 11 = 759, which is a product of 69 and an integer | 0 |
| 828 | 69 x 12 = 828, which is a product of 69 and an integer | 0 |
| 897 | 69 x 13 = 897, which is a product of 69 and an integer | 0 |
| 966 | 69 x 14 = 966, which is a product of 69 and an integer | 0 |
| 1035 | 69 x 15 = 1035, which is a product of 69 and an integer | 0 |
| 1104 | 69 x 16 = 1104, which is a product of 69 and an integer | 0 |
| 1173 | 69 x 17 = 1173, which is a product of 69 and an integer | 0 |
| 1242 | 69 x 18 = 1242, which is a product of 69 and an integer | 0 |
| 1311 | 69 x 19 = 1311, which is a product of 69 and an integer | 0 |
| 1380 | 69 x 20 = 1380, which is a product of 69 and an integer | 0 |
| 1449 | 69 x 21 = 1449, which is a product of 69 and an integer | 0 |
| 1518 | 69 x 22 = 1518, which is a product of 69 and an integer | 0 |
| 1587 | 69 x 23 = 1587, which is a product of 69 and an integer | 0 |
| 1656 | 69 x 24 = 1656, which is a product of 69 and an integer | 0 |
| 1725 | 69 x 25 = 1725, which is a product of 69 and an integer | 0 |
| 1794 | 69 x 26 = 1794, which is a product of 69 and an integer | 0 |
| 1863 | 69 x 27 = 1863, which is a product of 69 and an integer | 0 |
| 1932 | 69 x 28 = 1932, which is a product of 69 and an integer | 0 |
| 2001 | 69 x 29 = 2001, which is a product of 69 and an integer | 0 |
| 2070 | 69 x 30 = 2070, which is a product of 69 and an integer | 0 |
| 2139 | 69 x 31 = 2139, which is a product of 69 and an integer | 0 |
| 2208 | 69 x 32 = 2208, which is a product of 69 and an integer | 0 |
| 2277 | 69 x 33 = 2277, which is a product of 69 and an integer | 0 |
| 2346 | 69 x 34 = 2346, which is a product of 69 and an integer | 0 |
| 2415 | 69 x 35 = 2415, which is a product of 69 and an integer | 0 |
| 2484 | 69 x 36 = 2484, which is a product of 69 and an integer | 0 |
| 2553 | 69 x 37 = 2553, which is a product of 69 and an integer | 0 |
| 2622 | 69 x 38 = 2622, which is a product of 69 and an integer | 0 |
| 2691 | 69 x 39 = 2691, which is a product of 69 and an integer | 0 |
| 2760 | 69 x 40 = 2760, which is a product of 69 and an integer | 0 |
| 2829 | 69 x 41 = 2829, which is a product of 69 and an integer | 0 |
| 2898 | 69 x 42 = 2898, which is a product of 69 and an integer | 0 |
| 2967 | 69 x 43 = 2967, which is a product of 69 and an integer | 0 |
| 3036 | 69 x 44 = 3036, which is a product of 69 and an integer | 0 |
| 3105 | 69 x 45 = 3105, which is a product of 69 and an integer | 0 |
| 3174 | 69 x 46 = 3174, which is a product of 69 and an integer | 0 |
| 3243 | 69 x 47 = 3243, which is a product of 69 and an integer | 0 |
| 3312 | 69 x 48 = 3312, which is a product of 69 and an integer | 0 |
| 3381 | 69 x 49 = 3381, which is a product of 69 and an integer | 0 |
| 3450 | 69 x 50 = 3450, which is a product of 69 and an integer | 0 |
| 3519 | 69 x 51 = 3519, which is a product of 69 and an integer | 0 |
| 3588 | 69 x 52 = 3588, which is a product of 69 and an integer | 0 |
| 3657 | 69 x 53 = 3657, which is a product of 69 and an integer | 0 |
| 3726 | 69 x 54 = 3726, which is a product of 69 and an integer | 0 |
| 3795 | 69 x 55 = 3795, which is a product of 69 and an integer | 0 |
| 3864 | 69 x 56 = 3864, which is a product of 69 and an integer | 0 |
| 3933 | 69 x 57 = 3933, which is a product of 69 and an integer | 0 |
| 4002 | 69 x 58 = 4002, which is a product of 69 and an integer | 0 |
| 4071 | 69 x 59 = 4071, which is a product of 69 and an integer | 0 |
| 4140 | 69 x 60 = 4140, which is a product of 69 and an integer | 0 |
| 4209 | 69 x 61 = 4209, which is a product of 69 and an integer | 0 |
| 4278 | 69 x 62 = 4278, which is a product of 69 and an integer | 0 |
| 4347 | 69 x 63 = 4347, which is a product of 69 and an integer | 0 |
| 4416 | 69 x 64 = 4416, which is a product of 69 and an integer | 0 |
| 4485 | 69 x 65 = 4485, which is a product of 69 and an integer | 0 |
| 4554 | 69 x 66 = 4554, which is a product of 69 and an integer | 0 |
| 4623 | 69 x 67 = 4623, which is a product of 69 and an integer | 0 |
| 4692 | 69 x 68 = 4692, which is a product of 69 and an integer | 0 |
| 4761 | 69 x 69 = 4761, which is a product of 69 and an integer | 0 |
| 4830 | 69 x 70 = 4830, which is a product of 69 and an integer | 0 |
| 4899 | 69 x 71 = 4899, which is a product of 69 and an integer | 0 |
| 4968 | 69 x 72 = 4968, which is a product of 69 and an integer | 0 |
| 5037 | 69 x 73 = 5037, which is a product of 69 and an integer | 0 |
| 5106 | 69 x 74 = 5106, which is a product of 69 and an integer | 0 |
| 5175 | 69 x 75 = 5175, which is a product of 69 and an integer | 0 |
| 5244 | 69 x 76 = 5244, which is a product of 69 and an integer | 0 |
| 5313 | 69 x 77 = 5313, which is a product of 69 and an integer | 0 |
| 5382 | 69 x 78 = 5382, which is a product of 69 and an integer | 0 |
| 5451 | 69 x 79 = 5451, which is a product of 69 and an integer | 0 |
| 5520 | 69 x 80 = 5520, which is a product of 69 and an integer | 0 |
| 5589 | 69 x 81 = 5589, which is a product of 69 and an integer | 0 |
| 5658 | 69 x 82 = 5658, which is a product of 69 and an integer | 0 |
| 5727 | 69 x 83 = 5727, which is a product of 69 and an integer | 0 |
| 5796 | 69 x 84 = 5796, which is a product of 69 and an integer | 0 |
| 5865 | 69 x 85 = 5865, which is a product of 69 and an integer | 0 |
| 5934 | 69 x 86 = 5934, which is a product of 69 and an integer | 0 |
| 6003 | 69 x 87 = 6003, which is a product of 69 and an integer | 0 |
| 6072 | 69 x 88 = 6072, which is a product of 69 and an integer | 0 |
| 6141 | 69 x 89 = 6141, which is a product of 69 and an integer | 0 |
| 6210 | 69 x 90 = 6210, which is a product of 69 and an integer | 0 |
| 6279 | 69 x 91 = 6279, which is a product of 69 and an integer | 0 |
| 6348 | 69 x 92 = 6348, which is a product of 69 and an integer | 0 |
| 6417 | 69 x 93 = 6417, which is a product of 69 and an integer | 0 |
| 6486 | 69 x 94 = 6486, which is a product of 69 and an integer | 0 |
| 6555 | 69 x 95 = 6555, which is a product of 69 and an integer | 0 |
| 6624 | 69 x 96 = 6624, which is a product of 69 and an integer | 0 |
| 6693 | 69 x 97 = 6693, which is a product of 69 and an integer | 0 |
| 6762 | 69 x 98 = 6762, which is a product of 69 and an integer | 0 |
| 6831 | 69 x 99 = 6831, which is a product of 69 and an integer | 0 |
| 6900 | 69 x 100 = 6900, which is a product of 69 and an integer | 0 |
Read More About Multiples of 69
Important Notes
- Even Numbers: Not all multiples of 69 are even numbers. Multiples of 69 can be either even or odd, depending on the factors involved.
- Divisibility: A number is a multiple of 69 if it can be divided by 69 with no remainder.
- Factors: Multiples of 69 have 69 as one of their factors.
- Infinite Sequence: There are infinitely many multiples of 69, extending indefinitely as 69, 138, 207, 276, 345, and so on.
- Arithmetic Pattern: The difference between consecutive multiples of 69 is always 69.
Examples on Multiples of 69
Simple Multiples
- 69: 69 x 1 = 69
- 138: 69 x 2 = 138
- 207: 69 x 3 = 207
Larger Multiples
- 345: 69 x 5 = 345
- 690: 69 x 10 = 690
- 1380: 69 x 20 = 1380
Real-Life Examples
Time:
- Hours in 69 days: 69 days x 24 hours/day = 1656 hours. This means 1656 hours is a multiple of 69 because 69 x 24 = 1656.
Money:
- Savings: If you save $69 each week, in 10 weeks you would have saved 69 x 10 = $690. This shows that $690 is a multiple of 69.
Measurements:
- Length: A rope that is 207 inches long can be divided into sections of 69 inches each. This means 207 inches is a multiple of 69 because 69 x 3 = 207.
Practical Examples of Multiples of 69
- Time Management: If you schedule a meeting that lasts 69 minutes, and you need to hold three such meetings, the total time required would be 69 x 3 = 207 minutes, which is a multiple of 69.
- Savings Plan: Suppose you decide to save $69 every month. In six months, your total savings would be 69 x 6 = $414, showing that $414 is a multiple of 69.
- Travel Distance: If a bus travels 69 miles each day, in seven days it would cover 69 x 7 = 483 miles, indicating 483 miles is a multiple of 69.
- Group Arrangement: In an event where each row has 69 chairs, arranging four rows would require 69 x 4 = 276 chairs, demonstrating that 276 is a multiple of 69.
- Inventory Management: A warehouse receives shipments of 69 boxes each week. Over eight weeks, the total number of boxes received would be 69 x 8 = 552, showing that 552 is a multiple of 69.
Practical Applications
- Counting by sixty-nines: When counting by sixty-nines (69, 138, 207, 276…), you are listing the multiples of 69.
- Multiples of 69: Any multiple of 69, such as 138 or 276, is a multiple of 69 because it can be divided evenly by 69.
Is 690 a multiple of 69?
Yes, 690 is a multiple of 69 because 69 x 10 = 690.
What are the first five multiples of 69?
The first five multiples of 69 are 69, 138, 207, 276, and 345.
Is 1035 a multiple of 69?
Yes, 1035 is a multiple of 69 because 69 x 15 = 1035.
Can multiples of 69 be negative?
Yes, multiples of 69 can be negative if 69 is multiplied by a negative integer (e.g., 69 x -1 = -69).
Is 0 a multiple of 69?
Yes, 0 is a multiple of 69 because 69 x 0 = 0.
Are multiples of 69 divisible by 23?
Yes, since 69 = 23 x 3, all multiples of 69 are also multiples of 23.
What is the 10th multiple of 69?
The 10th multiple of 69 is 69 x 10 = 690.
Is 207 a multiple of 69?
Yes, 207 is a multiple of 69 because 69 x 3 = 207.
How do multiples of 69 relate to the number 3?
Since 69 is a multiple of 3, any multiple of 69 is also a multiple of 3.
What is the 20th multiple of 69?
The 20th multiple of 69 is 69 x 20 = 1380.
Is 414 a multiple of 69?
Yes, 414 is a multiple of 69 because 69 x 6 = 414.
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Multiples of 69 – 100+ List, Examples
Multiples of 69 are numbers that can be expressed as 69 times an integer. Starting from 69, these numbers follow a consistent pattern, increasing by 69 each time (e.g., 69, 138, 207, 276, 345, etc.). Multiples of 69 play a fundamental role in arithmetic and number theory. They help in understanding number patterns and serve as building blocks for more complex mathematical concepts. Recognizing and working with multiples of 69 is essential for performing various arithmetic operations efficiently.
What are Multiples of 69?
Multiples of 69 are numbers that can be expressed as 69×n, where n is an integer. These numbers are always even and include values like 69, 138, 207, 276, and so on.
Prime Factorization of 69 : 3×23
First 10 Multiples of 69 are 69, 138, 207, 276, 345, 414, 483, 552, 621, 690
First 50 Multiples of 69 are 69, 138, 207, 276, 345, 414, 483, 552, 621, 690, 759, 828, 897, 966, 1035, 1104, 1173, 1242, 1311, 1380, 1449, 1518, 1587, 1656, 1725, 1794, 1863, 1932, 2001, 2070, 2139, 2208, 2277, 2346, 2415, 2484, 2553, 2622, 2691, 2760, 2829, 2898, 2967, 3036, 3105, 3174, 3243, 3312, 3381, 3450
For example, 69, 138, 207 and 276 are all multiples of 69, 130 is not a multiple of 69 for the following reasons:
Number | Reason | Remainder |
|---|---|---|
69 | 69 x 1 = 69, which is a product of 69 and an integer | 0 |
138 | 69 x 2 = 138, which is a product of 69 and an integer | 0 |
207 | 69 x 3 = 207, which is a product of 69 and an integer | 0 |
276 | 69 x 4 = 276, which is a product of 69 and an integer | 0 |
130 | 130 ÷ 69 ≠ integer, as it equals approximately 1.884, so it cannot be expressed as 69 x n | 61 |
List of First 100 Multiples of 69 with Remainders
Number | Reason | Remainder |
|---|---|---|
69 | 69 x 1 = 69, which is a product of 69 and an integer | 0 |
138 | 69 x 2 = 138, which is a product of 69 and an integer | 0 |
207 | 69 x 3 = 207, which is a product of 69 and an integer | 0 |
276 | 69 x 4 = 276, which is a product of 69 and an integer | 0 |
345 | 69 x 5 = 345, which is a product of 69 and an integer | 0 |
414 | 69 x 6 = 414, which is a product of 69 and an integer | 0 |
483 | 69 x 7 = 483, which is a product of 69 and an integer | 0 |
552 | 69 x 8 = 552, which is a product of 69 and an integer | 0 |
621 | 69 x 9 = 621, which is a product of 69 and an integer | 0 |
690 | 69 x 10 = 690, which is a product of 69 and an integer | 0 |
759 | 69 x 11 = 759, which is a product of 69 and an integer | 0 |
828 | 69 x 12 = 828, which is a product of 69 and an integer | 0 |
897 | 69 x 13 = 897, which is a product of 69 and an integer | 0 |
966 | 69 x 14 = 966, which is a product of 69 and an integer | 0 |
1035 | 69 x 15 = 1035, which is a product of 69 and an integer | 0 |
1104 | 69 x 16 = 1104, which is a product of 69 and an integer | 0 |
1173 | 69 x 17 = 1173, which is a product of 69 and an integer | 0 |
1242 | 69 x 18 = 1242, which is a product of 69 and an integer | 0 |
1311 | 69 x 19 = 1311, which is a product of 69 and an integer | 0 |
1380 | 69 x 20 = 1380, which is a product of 69 and an integer | 0 |
1449 | 69 x 21 = 1449, which is a product of 69 and an integer | 0 |
1518 | 69 x 22 = 1518, which is a product of 69 and an integer | 0 |
1587 | 69 x 23 = 1587, which is a product of 69 and an integer | 0 |
1656 | 69 x 24 = 1656, which is a product of 69 and an integer | 0 |
1725 | 69 x 25 = 1725, which is a product of 69 and an integer | 0 |
1794 | 69 x 26 = 1794, which is a product of 69 and an integer | 0 |
1863 | 69 x 27 = 1863, which is a product of 69 and an integer | 0 |
1932 | 69 x 28 = 1932, which is a product of 69 and an integer | 0 |
2001 | 69 x 29 = 2001, which is a product of 69 and an integer | 0 |
2070 | 69 x 30 = 2070, which is a product of 69 and an integer | 0 |
2139 | 69 x 31 = 2139, which is a product of 69 and an integer | 0 |
2208 | 69 x 32 = 2208, which is a product of 69 and an integer | 0 |
2277 | 69 x 33 = 2277, which is a product of 69 and an integer | 0 |
2346 | 69 x 34 = 2346, which is a product of 69 and an integer | 0 |
2415 | 69 x 35 = 2415, which is a product of 69 and an integer | 0 |
2484 | 69 x 36 = 2484, which is a product of 69 and an integer | 0 |
2553 | 69 x 37 = 2553, which is a product of 69 and an integer | 0 |
2622 | 69 x 38 = 2622, which is a product of 69 and an integer | 0 |
2691 | 69 x 39 = 2691, which is a product of 69 and an integer | 0 |
2760 | 69 x 40 = 2760, which is a product of 69 and an integer | 0 |
2829 | 69 x 41 = 2829, which is a product of 69 and an integer | 0 |
2898 | 69 x 42 = 2898, which is a product of 69 and an integer | 0 |
2967 | 69 x 43 = 2967, which is a product of 69 and an integer | 0 |
3036 | 69 x 44 = 3036, which is a product of 69 and an integer | 0 |
3105 | 69 x 45 = 3105, which is a product of 69 and an integer | 0 |
3174 | 69 x 46 = 3174, which is a product of 69 and an integer | 0 |
3243 | 69 x 47 = 3243, which is a product of 69 and an integer | 0 |
3312 | 69 x 48 = 3312, which is a product of 69 and an integer | 0 |
3381 | 69 x 49 = 3381, which is a product of 69 and an integer | 0 |
3450 | 69 x 50 = 3450, which is a product of 69 and an integer | 0 |
3519 | 69 x 51 = 3519, which is a product of 69 and an integer | 0 |
3588 | 69 x 52 = 3588, which is a product of 69 and an integer | 0 |
3657 | 69 x 53 = 3657, which is a product of 69 and an integer | 0 |
3726 | 69 x 54 = 3726, which is a product of 69 and an integer | 0 |
3795 | 69 x 55 = 3795, which is a product of 69 and an integer | 0 |
3864 | 69 x 56 = 3864, which is a product of 69 and an integer | 0 |
3933 | 69 x 57 = 3933, which is a product of 69 and an integer | 0 |
4002 | 69 x 58 = 4002, which is a product of 69 and an integer | 0 |
4071 | 69 x 59 = 4071, which is a product of 69 and an integer | 0 |
4140 | 69 x 60 = 4140, which is a product of 69 and an integer | 0 |
4209 | 69 x 61 = 4209, which is a product of 69 and an integer | 0 |
4278 | 69 x 62 = 4278, which is a product of 69 and an integer | 0 |
4347 | 69 x 63 = 4347, which is a product of 69 and an integer | 0 |
4416 | 69 x 64 = 4416, which is a product of 69 and an integer | 0 |
4485 | 69 x 65 = 4485, which is a product of 69 and an integer | 0 |
4554 | 69 x 66 = 4554, which is a product of 69 and an integer | 0 |
4623 | 69 x 67 = 4623, which is a product of 69 and an integer | 0 |
4692 | 69 x 68 = 4692, which is a product of 69 and an integer | 0 |
4761 | 69 x 69 = 4761, which is a product of 69 and an integer | 0 |
4830 | 69 x 70 = 4830, which is a product of 69 and an integer | 0 |
4899 | 69 x 71 = 4899, which is a product of 69 and an integer | 0 |
4968 | 69 x 72 = 4968, which is a product of 69 and an integer | 0 |
5037 | 69 x 73 = 5037, which is a product of 69 and an integer | 0 |
5106 | 69 x 74 = 5106, which is a product of 69 and an integer | 0 |
5175 | 69 x 75 = 5175, which is a product of 69 and an integer | 0 |
5244 | 69 x 76 = 5244, which is a product of 69 and an integer | 0 |
5313 | 69 x 77 = 5313, which is a product of 69 and an integer | 0 |
5382 | 69 x 78 = 5382, which is a product of 69 and an integer | 0 |
5451 | 69 x 79 = 5451, which is a product of 69 and an integer | 0 |
5520 | 69 x 80 = 5520, which is a product of 69 and an integer | 0 |
5589 | 69 x 81 = 5589, which is a product of 69 and an integer | 0 |
5658 | 69 x 82 = 5658, which is a product of 69 and an integer | 0 |
5727 | 69 x 83 = 5727, which is a product of 69 and an integer | 0 |
5796 | 69 x 84 = 5796, which is a product of 69 and an integer | 0 |
5865 | 69 x 85 = 5865, which is a product of 69 and an integer | 0 |
5934 | 69 x 86 = 5934, which is a product of 69 and an integer | 0 |
6003 | 69 x 87 = 6003, which is a product of 69 and an integer | 0 |
6072 | 69 x 88 = 6072, which is a product of 69 and an integer | 0 |
6141 | 69 x 89 = 6141, which is a product of 69 and an integer | 0 |
6210 | 69 x 90 = 6210, which is a product of 69 and an integer | 0 |
6279 | 69 x 91 = 6279, which is a product of 69 and an integer | 0 |
6348 | 69 x 92 = 6348, which is a product of 69 and an integer | 0 |
6417 | 69 x 93 = 6417, which is a product of 69 and an integer | 0 |
6486 | 69 x 94 = 6486, which is a product of 69 and an integer | 0 |
6555 | 69 x 95 = 6555, which is a product of 69 and an integer | 0 |
6624 | 69 x 96 = 6624, which is a product of 69 and an integer | 0 |
6693 | 69 x 97 = 6693, which is a product of 69 and an integer | 0 |
6762 | 69 x 98 = 6762, which is a product of 69 and an integer | 0 |
6831 | 69 x 99 = 6831, which is a product of 69 and an integer | 0 |
6900 | 69 x 100 = 6900, which is a product of 69 and an integer | 0 |
Read More About Multiples of 69
Important Notes
Even Numbers: Not all multiples of 69 are even numbers. Multiples of 69 can be either even or odd, depending on the factors involved.
Divisibility: A number is a multiple of 69 if it can be divided by 69 with no remainder.
Factors: Multiples of 69 have 69 as one of their factors.
Infinite Sequence: There are infinitely many multiples of 69, extending indefinitely as 69, 138, 207, 276, 345, and so on.
Arithmetic Pattern: The difference between consecutive multiples of 69 is always 69.
Examples on Multiples of 69
Simple Multiples
69: 69 x 1 = 69
138: 69 x 2 = 138
207: 69 x 3 = 207
Larger Multiples
345: 69 x 5 = 345
690: 69 x 10 = 690
1380: 69 x 20 = 1380
Real-Life Examples
Time:
Hours in 69 days: 69 days x 24 hours/day = 1656 hours. This means 1656 hours is a multiple of 69 because 69 x 24 = 1656.
Money:
Savings: If you save $69 each week, in 10 weeks you would have saved 69 x 10 = $690. This shows that $690 is a multiple of 69.
Measurements:
Length: A rope that is 207 inches long can be divided into sections of 69 inches each. This means 207 inches is a multiple of 69 because 69 x 3 = 207.
Practical Examples of Multiples of 69
Time Management: If you schedule a meeting that lasts 69 minutes, and you need to hold three such meetings, the total time required would be 69 x 3 = 207 minutes, which is a multiple of 69.
Savings Plan: Suppose you decide to save $69 every month. In six months, your total savings would be 69 x 6 = $414, showing that $414 is a multiple of 69.
Travel Distance: If a bus travels 69 miles each day, in seven days it would cover 69 x 7 = 483 miles, indicating 483 miles is a multiple of 69.
Group Arrangement: In an event where each row has 69 chairs, arranging four rows would require 69 x 4 = 276 chairs, demonstrating that 276 is a multiple of 69.
Inventory Management: A warehouse receives shipments of 69 boxes each week. Over eight weeks, the total number of boxes received would be 69 x 8 = 552, showing that 552 is a multiple of 69.
Practical Applications
Counting by sixty-nines: When counting by sixty-nines (69, 138, 207, 276…), you are listing the multiples of 69.
Multiples of 69: Any multiple of 69, such as 138 or 276, is a multiple of 69 because it can be divided evenly by 69.
Is 690 a multiple of 69?
Yes, 690 is a multiple of 69 because 69 x 10 = 690.
What are the first five multiples of 69?
The first five multiples of 69 are 69, 138, 207, 276, and 345.
Is 1035 a multiple of 69?
Yes, 1035 is a multiple of 69 because 69 x 15 = 1035.
Can multiples of 69 be negative?
Yes, multiples of 69 can be negative if 69 is multiplied by a negative integer (e.g., 69 x -1 = -69).
Is 0 a multiple of 69?
Yes, 0 is a multiple of 69 because 69 x 0 = 0.
Are multiples of 69 divisible by 23?
Yes, since 69 = 23 x 3, all multiples of 69 are also multiples of 23.
What is the 10th multiple of 69?
The 10th multiple of 69 is 69 x 10 = 690.
Is 207 a multiple of 69?
Yes, 207 is a multiple of 69 because 69 x 3 = 207.
How do multiples of 69 relate to the number 3?
Since 69 is a multiple of 3, any multiple of 69 is also a multiple of 3.
What is the 20th multiple of 69?
The 20th multiple of 69 is 69 x 20 = 1380.
Is 414 a multiple of 69?
Yes, 414 is a multiple of 69 because 69 x 6 = 414.
Practice Test
What is the next multiple of 69 after 276?
345
414
483
552
of 10
Which number is not a multiple of 69?
138
276
322
414
of 10
What is the product of 69 and 5?
276
345
414
483
of 10
What is the smallest multiple of 69 greater than 400?
345
414
483
552
of 10
What is the least common multiple of 69 and 138?
69
138
207
276
of 10
Which of the following numbers is the greatest multiple of 69 less than 500?
414
483
552
621
of 10
If a number is a multiple of 69, which of the following must it also be divisible by?
3
23
Both A and B
None of the above
of 10
Which multiple of 69 is closest to 1000?
897
966
1035
1104
of 10
What is the sum of the first three multiples of 69?
207
276
345
414
of 10