What is the smallest multiple of 64 that is greater than 200?
256
320
384
448
Multiples of 64 are numbers expressed as (64 x n), where (n) is an integer. These multiples follow a pattern, increasing by 64 each time (e.g., 64, 128, 192, 256, 320). They are crucial in mathematics, especially in algebraic concepts, squares, square roots, and fractions. Recognizing multiples of 64 helps understand number properties and perform arithmetic operations efficiently. They aid in grasping complex mathematical ideas and solving algebraic equations. Multiples are essential in number theory, helping explore patterns, relationships, and number behavior within mathematical frameworks. Their regularity and predictability make them fundamental building blocks in understanding and applying various mathematical concepts.
Multiples of 64 are numbers that can be expressed as 64×n, where n is an integer. These numbers are always even and include values like 64, 128, 192, 256, and so on
Prime Factorization of 64: 2 x 2 × 2 x 2 x 2 x 2
First 10 Multiples of 64 are 64, 128, 192, 256, 320, 384, 448, 512, 576, 640
First 50 Multiples of 64 are 64, 128, 192, 256, 320, 384, 448, 512, 576, 640, 704, 768, 832, 896, 960, 1024, 1088, 1152, 1216, 1280, 1344, 1408, 1472, 1536, 1600, 1664, 1728, 1792, 1856, 1920, 1984, 2048, 2112, 2176, 2240, 2304, 2368, 2432, 2496, 2560, 2624, 2688, 2752, 2816, 2880, 2944, 3008, 3072, 3136, 3200
Number | Reason | Remainder |
---|---|---|
64 | 64 ÷ 64 = 1 (whole number) | 0 |
128 | 128 ÷ 64 = 2 (whole number) | 0 |
192 | 192 ÷ 64 = 3 (whole number) | 0 |
256 | 256 ÷ 64 = 4 (whole number) | 0 |
86 | 86 ÷ 64 = 1.34375 (not a whole number) | 22 |
Number | Reason | Remainder |
---|---|---|
64 | 64 ÷ 64 = 1 (whole number) | 0 |
128 | 128 ÷ 64 = 2 (whole number) | 0 |
192 | 192 ÷ 64 = 3 (whole number) | 0 |
256 | 256 ÷ 64 = 4 (whole number) | 0 |
320 | 320 ÷ 64 = 5 (whole number) | 0 |
384 | 384 ÷ 64 = 6 (whole number) | 0 |
448 | 448 ÷ 64 = 7 (whole number) | 0 |
512 | 512 ÷ 64 = 8 (whole number) | 0 |
576 | 576 ÷ 64 = 9 (whole number) | 0 |
640 | 640 ÷ 64 = 10 (whole number) | 0 |
704 | 704 ÷ 64 = 11 (whole number) | 0 |
768 | 768 ÷ 64 = 12 (whole number) | 0 |
832 | 832 ÷ 64 = 13 (whole number) | 0 |
896 | 896 ÷ 64 = 14 (whole number) | 0 |
960 | 960 ÷ 64 = 15 (whole number) | 0 |
1024 | 1024 ÷ 64 = 16 (whole number) | 0 |
1088 | 1088 ÷ 64 = 17 (whole number) | 0 |
1152 | 1152 ÷ 64 = 18 (whole number) | 0 |
1216 | 1216 ÷ 64 = 19 (whole number) | 0 |
1280 | 1280 ÷ 64 = 20 (whole number) | 0 |
1344 | 1344 ÷ 64 = 21 (whole number) | 0 |
1408 | 1408 ÷ 64 = 22 (whole number) | 0 |
1472 | 1472 ÷ 64 = 23 (whole number) | 0 |
1536 | 1536 ÷ 64 = 24 (whole number) | 0 |
1600 | 1600 ÷ 64 = 25 (whole number) | 0 |
1664 | 1664 ÷ 64 = 26 (whole number) | 0 |
1728 | 1728 ÷ 64 = 27 (whole number) | 0 |
1792 | 1792 ÷ 64 = 28 (whole number) | 0 |
1856 | 1856 ÷ 64 = 29 (whole number) | 0 |
1920 | 1920 ÷ 64 = 30 (whole number) | 0 |
1984 | 1984 ÷ 64 = 31 (whole number) | 0 |
2048 | 2048 ÷ 64 = 32 (whole number) | 0 |
2112 | 2112 ÷ 64 = 33 (whole number) | 0 |
2176 | 2176 ÷ 64 = 34 (whole number) | 0 |
2240 | 2240 ÷ 64 = 35 (whole number) | 0 |
2304 | 2304 ÷ 64 = 36 (whole number) | 0 |
2368 | 2368 ÷ 64 = 37 (whole number) | 0 |
2432 | 2432 ÷ 64 = 38 (whole number) | 0 |
2496 | 2496 ÷ 64 = 39 (whole number) | 0 |
2560 | 2560 ÷ 64 = 40 (whole number) | 0 |
2624 | 2624 ÷ 64 = 41 (whole number) | 0 |
2688 | 2688 ÷ 64 = 42 (whole number) | 0 |
2752 | 2752 ÷ 64 = 43 (whole number) | 0 |
2816 | 2816 ÷ 64 = 44 (whole number) | 0 |
2880 | 2880 ÷ 64 = 45 (whole number) | 0 |
2944 | 2944 ÷ 64 = 46 (whole number) | 0 |
3008 | 3008 ÷ 64 = 47 (whole number) | 0 |
3072 | 3072 ÷ 64 = 48 (whole number) | 0 |
3136 | 3136 ÷ 64 = 49 (whole number) | 0 |
3200 | 3200 ÷ 64 = 50 (whole number) | 0 |
3264 | 3264 ÷ 64 = 51 (whole number) | 0 |
3328 | 3328 ÷ 64 = 52 (whole number) | 0 |
3392 | 3392 ÷ 64 = 53 (whole number) | 0 |
3456 | 3456 ÷ 64 = 54 (whole number) | 0 |
3520 | 3520 ÷ 64 = 55 (whole number) | 0 |
3584 | 3584 ÷ 64 = 56 (whole number) | 0 |
3648 | 3648 ÷ 64 = 57 (whole number) | 0 |
3712 | 3712 ÷ 64 = 58 (whole number) | 0 |
3776 | 3776 ÷ 64 = 59 (whole number) | 0 |
3840 | 3840 ÷ 64 = 60 (whole number) | 0 |
3904 | 3904 ÷ 64 = 61 (whole number) | 0 |
3968 | 3968 ÷ 64 = 62 (whole number) | 0 |
4032 | 4032 ÷ 64 = 63 (whole number) | 0 |
4096 | 4096 ÷ 64 = 64 (whole number) | 0 |
4160 | 4160 ÷ 64 = 65 (whole number) | 0 |
4224 | 4224 ÷ 64 = 66 (whole number) | 0 |
4288 | 4288 ÷ 64 = 67 (whole number) | 0 |
4352 | 4352 ÷ 64 = 68 (whole number) | 0 |
4416 | 4416 ÷ 64 = 69 (whole number) | 0 |
4480 | 4480 ÷ 64 = 70 (whole number) | 0 |
4544 | 4544 ÷ 64 = 71 (whole number) | 0 |
4608 | 4608 ÷ 64 = 72 (whole number) | 0 |
4672 | 4672 ÷ 64 = 73 (whole number) | 0 |
4736 | 4736 ÷ 64 = 74 (whole number) | 0 |
4800 | 4800 ÷ 64 = 75 (whole number) | 0 |
4864 | 4864 ÷ 64 = 76 (whole number) | 0 |
4928 | 4928 ÷ 64 = 77 (whole number) | 0 |
4992 | 4992 ÷ 64 = 78 (whole number) | 0 |
5056 | 5056 ÷ 64 = 79 (whole number) | 0 |
5120 | 5120 ÷ 64 = 80 (whole number) | 0 |
5184 | 5184 ÷ 64 = 81 (whole number) | 0 |
5248 | 5248 ÷ 64 = 82 (whole number) | 0 |
5312 | 5312 ÷ 64 = 83 (whole number) | 0 |
5376 | 5376 ÷ 64 = 84 (whole number) | 0 |
5440 | 5440 ÷ 64 = 85 (whole number) | 0 |
5504 | 5504 ÷ 64 = 86 (whole number) | 0 |
5568 | 5568 ÷ 64 = 87 (whole number) | 0 |
5632 | 5632 ÷ 64 = 88 (whole number) | 0 |
5696 | 5696 ÷ 64 = 89 (whole number) | 0 |
5760 | 5760 ÷ 64 = 90 (whole number) | 0 |
5824 | 5824 ÷ 64 = 91 (whole number) | 0 |
5888 | 5888 ÷ 64 = 92 (whole number) | 0 |
5952 | 5952 ÷ 64 = 93 (whole number) | 0 |
6016 | 6016 ÷ 64 = 94 (whole number) | 0 |
6080 | 6080 ÷ 64 = 95 (whole number) | 0 |
6144 | 6144 ÷ 64 = 96 (whole number) | 0 |
6208 | 6208 ÷ 64 = 97 (whole number) | 0 |
6272 | 6272 ÷ 64 = 98 (whole number) | 0 |
6336 | 6336 ÷ 64 = 99 (whole number) | 0 |
6400 | 6400 ÷ 64 = 100 (whole number) | 0 |
Even Numbers: All multiples of 64 are even numbers, meaning they end in 00, 64, 28, or 92.
Divisibility: A number is a multiple of 64 if it can be divided by 64 with no remainder.
Factors: Multiples of 64 have 64 as one of their factors.
Infinite Sequence: There are infinitely many multiples of 64, extending indefinitely as 64, 128, 192, 256, 320 and so on.
Arithmetic Pattern: The difference between consecutive multiples of 64 is always 64.
Simple Multiples
128: 64 × 2 = 128
192: 64 × 3 = 192
256: 64 × 4 = 256
Larger Multiples
320: 64 × 5 = 320
640: 64 × 10 = 640
1280: 64 × 20 = 1280
Time: 256 seconds in a period is a multiple of 64 because 64 × 4 = 256.
Money: $6.40 (640 cents) is a multiple of 64 because 64 × 10 = 640.
Measurements: 640 inches is a multiple of 64 because 64 × 10 = 640.
Time Management: Imagine you’re organizing a sports event, and each game lasts exactly 256 seconds. You know that 256 seconds is a multiple of 64 because 64 × 4 = 256. This helps in scheduling as you can easily plan intervals and breaks.
Currency Conversion: You’re a cashier, and a customer hands you $6.40 to pay for their purchase. You quickly recognize that $6.40 is a multiple of 64 cents because 64 × 10 = 640 cents. This makes it easier to calculate change and manage the cash register.
Construction Planning: You are planning a construction project and need to cut beams to specific lengths. Each beam needs to be 640 inches long. Since 640 inches is a multiple of 64 (64 × 10 = 640), it simplifies ordering and cutting materials, ensuring precise measurements and efficient use of resources.
Counting by Sixty-Fours: When counting by sixty-fours (64, 128, 192, 256…), you are listing the multiples of 64.
Even Numbers: Any multiple of 64, such as 128 or 192, is a multiple of 64 because it can be divided evenly by 64.
Yes, 4096 is a multiple of 64 because 4096 ÷ 64 = 64.
Yes, 320 is a multiple of 64 because 320 ÷ 64 = 5.
No, 450 is not a multiple of 64 because 450 ÷ 64 ≈ 7.03125, which is not an integer.
The smallest multiple of 64 is 64 itself.
Yes, negative numbers can be multiples of 64. For example, -64, -128, and -192 are multiples of 64.
No, 700 is not a multiple of 64 because 700 ÷ 64 ≈ 10.9375, which is not an integer.
The 15th multiple of 64 is 64 × 15 = 960.
Yes, 512 is a multiple of 64 because 512 ÷ 64 = 8.
No, 300 is not a multiple of 64 because 300 ÷ 64 ≈ 4.6875, which is not an integer.
The 20th multiple of 64 is 64 × 20 = 1280.
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What is the smallest multiple of 64 that is greater than 200?
256
320
384
448
Which of the following numbers is a multiple of 64?
128
192
256
320
What is the multiple of 64 that comes immediately after 320?
384
448
512
576
Which number is not a multiple of 64?
192
256
320
400
What is the largest multiple of 64 that is less than 500?
384
448
512
320
If a number is a multiple of 64, which of the following numbers is also a multiple of 64?
128
256
192
80
What is the sum of the first three multiples of 64?
256
384
448
512
Which multiple of 64 is between 500 and 600?
512
576
640
448
If you divide a multiple of 64 by 8, which of the following results is also a multiple of 8?
64
32
16
8
Which of these numbers is a multiple of 64 and also divisible by 32?
256
320
384
448
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