## Multiples of 71

Multiples of 71 are numbers that can be expressed as 71 times an integer. Starting from 71, they follow a consistent pattern, increasing by 71 each time (e.g., 71, 142, 213, 284, etc.). Multiples of 71 play a fundamental role in arithmetic and number theory. They form the basis for understanding numerical patterns and serve as building blocks for more complex mathematical concepts. Recognizing and working with multiples of 71 is essential for performing various arithmetic operations efficiently.

## What are Multiples of 71?

**Multiples of 71 are numbers that can be expressed as 71×n, where n is an integer**. These numbers are always even and include values like 71,142, 213, 284, and so on.

**Prime Factorization of 71:** 1×71

**First 10 Multiples of 71 are**

**First 50 Multiples of 71 are 71, 142, 213, 284, 355, 426, 497, 568, 639, 710, 781, 852, 923, 994, 1065, 1136, 1207, 1278, 1349, 1420, 1491, 1562, 1633, 1704, 1775, 1846, 1917, 1988, 2059, 2130, 2201, 2272, 2343, 2414, 2485, 2556, 2627, 2698, 2769, 2840, 2911, 2982, 3053, 3124, 3195, 3266, 3337, 3408, 3479, 3550.**

## For example, 71, 142, 213 and 284 are all multiples of 71, 155 is not a multiple of 71 for the following reasons:

Number | Reason | Remainder |
---|---|---|

71 | 71 x 1 = 71, which is a product of 71 and an integer | 0 |

142 | 71 x 2 = 142, which is a product of 71 and an integer | 0 |

213 | 71 x 3 = 213, which is a product of 71 and an integer | 0 |

284 | 71 x 4 = 284, which is a product of 71 and an integer | 0 |

155 | 155 ÷ 71 ≠ integer, as it equals approximately 2.183 | 13 |

## List of First 100 Multiples of 71 with Remainders

Number | Reason | Remainder |
---|---|---|

71 | 71 x 1 = 71, which is a product of 71 and an integer | 0 |

142 | 71 x 2 = 142, which is a product of 71 and an integer | 0 |

213 | 71 x 3 = 213, which is a product of 71 and an integer | 0 |

284 | 71 x 4 = 284, which is a product of 71 and an integer | 0 |

355 | 71 x 5 = 355, which is a product of 71 and an integer | 0 |

426 | 71 x 6 = 426, which is a product of 71 and an integer | 0 |

497 | 71 x 7 = 497, which is a product of 71 and an integer | 0 |

568 | 71 x 8 = 568, which is a product of 71 and an integer | 0 |

639 | 71 x 9 = 639, which is a product of 71 and an integer | 0 |

710 | 71 x 10 = 710, which is a product of 71 and an integer | 0 |

781 | 71 x 11 = 781, which is a product of 71 and an integer | 0 |

852 | 71 x 12 = 852, which is a product of 71 and an integer | 0 |

923 | 71 x 13 = 923, which is a product of 71 and an integer | 0 |

994 | 71 x 14 = 994, which is a product of 71 and an integer | 0 |

1065 | 71 x 15 = 1065, which is a product of 71 and an integer | 0 |

1136 | 71 x 16 = 1136, which is a product of 71 and an integer | 0 |

1207 | 71 x 17 = 1207, which is a product of 71 and an integer | 0 |

1278 | 71 x 18 = 1278, which is a product of 71 and an integer | 0 |

1349 | 71 x 19 = 1349, which is a product of 71 and an integer | 0 |

1420 | 71 x 20 = 1420, which is a product of 71 and an integer | 0 |

1491 | 71 x 21 = 1491, which is a product of 71 and an integer | 0 |

1562 | 71 x 22 = 1562, which is a product of 71 and an integer | 0 |

1633 | 71 x 23 = 1633, which is a product of 71 and an integer | 0 |

1704 | 71 x 24 = 1704, which is a product of 71 and an integer | 0 |

1775 | 71 x 25 = 1775, which is a product of 71 and an integer | 0 |

1846 | 71 x 26 = 1846, which is a product of 71 and an integer | 0 |

1917 | 71 x 27 = 1917, which is a product of 71 and an integer | 0 |

1988 | 71 x 28 = 1988, which is a product of 71 and an integer | 0 |

2059 | 71 x 29 = 2059, which is a product of 71 and an integer | 0 |

2130 | 71 x 30 = 2130, which is a product of 71 and an integer | 0 |

2201 | 71 x 31 = 2201, which is a product of 71 and an integer | 0 |

2272 | 71 x 32 = 2272, which is a product of 71 and an integer | 0 |

2343 | 71 x 33 = 2343, which is a product of 71 and an integer | 0 |

2414 | 71 x 34 = 2414, which is a product of 71 and an integer | 0 |

2485 | 71 x 35 = 2485, which is a product of 71 and an integer | 0 |

2556 | 71 x 36 = 2556, which is a product of 71 and an integer | 0 |

2627 | 71 x 37 = 2627, which is a product of 71 and an integer | 0 |

2698 | 71 x 38 = 2698, which is a product of 71 and an integer | 0 |

2769 | 71 x 39 = 2769, which is a product of 71 and an integer | 0 |

2840 | 71 x 40 = 2840, which is a product of 71 and an integer | 0 |

2911 | 71 x 41 = 2911, which is a product of 71 and an integer | 0 |

2982 | 71 x 42 = 2982, which is a product of 71 and an integer | 0 |

3053 | 71 x 43 = 3053, which is a product of 71 and an integer | 0 |

3124 | 71 x 44 = 3124, which is a product of 71 and an integer | 0 |

3195 | 71 x 45 = 3195, which is a product of 71 and an integer | 0 |

3266 | 71 x 46 = 3266, which is a product of 71 and an integer | 0 |

3337 | 71 x 47 = 3337, which is a product of 71 and an integer | 0 |

3408 | 71 x 48 = 3408, which is a product of 71 and an integer | 0 |

3479 | 71 x 49 = 3479, which is a product of 71 and an integer | 0 |

3550 | 71 x 50 = 3550, which is a product of 71 and an integer | 0 |

3621 | 71 x 51 = 3621, which is a product of 71 and an integer | 0 |

3692 | 71 x 52 = 3692, which is a product of 71 and an integer | 0 |

3763 | 71 x 53 = 3763, which is a product of 71 and an integer | 0 |

3834 | 71 x 54 = 3834, which is a product of 71 and an integer | 0 |

3905 | 71 x 55 = 3905, which is a product of 71 and an integer | 0 |

3976 | 71 x 56 = 3976, which is a product of 71 and an integer | 0 |

4047 | 71 x 57 = 4047, which is a product of 71 and an integer | 0 |

4118 | 71 x 58 = 4118, which is a product of 71 and an integer | 0 |

4189 | 71 x 59 = 4189, which is a product of 71 and an integer | 0 |

4260 | 71 x 60 = 4260, which is a product of 71 and an integer | 0 |

4331 | 71 x 61 = 4331, which is a product of 71 and an integer | 0 |

4402 | 71 x 62 = 4402, which is a product of 71 and an integer | 0 |

4473 | 71 x 63 = 4473, which is a product of 71 and an integer | 0 |

4544 | 71 x 64 = 4544, which is a product of 71 and an integer | 0 |

4615 | 71 x 65 = 4615, which is a product of 71 and an integer | 0 |

4686 | 71 x 66 = 4686, which is a product of 71 and an integer | 0 |

4757 | 71 x 67 = 4757, which is a product of 71 and an integer | 0 |

4828 | 71 x 68 = 4828, which is a product of 71 and an integer | 0 |

4899 | 71 x 69 = 4899, which is a product of 71 and an integer | 0 |

4970 | 71 x 70 = 4970, which is a product of 71 and an integer | 0 |

5041 | 71 x 71 = 5041, which is a product of 71 and an integer | 0 |

5112 | 71 x 72 = 5112, which is a product of 71 and an integer | 0 |

5183 | 71 x 73 = 5183, which is a product of 71 and an integer | 0 |

5254 | 71 x 74 = 5254, which is a product of 71 and an integer | 0 |

5325 | 71 x 75 = 5325, which is a product of 71 and an integer | 0 |

5396 | 71 x 76 = 5396, which is a product of 71 and an integer | 0 |

5467 | 71 x 77 = 5467, which is a product of 71 and an integer | 0 |

5538 | 71 x 78 = 5538, which is a product of 71 and an integer | 0 |

5609 | 71 x 79 = 5609, which is a product of 71 and an integer | 0 |

5680 | 71 x 80 = 5680, which is a product of 71 and an integer | 0 |

5751 | 71 x 81 = 5751, which is a product of 71 and an integer | 0 |

5822 | 71 x 82 = 5822, which is a product of 71 and an integer | 0 |

5893 | 71 x 83 = 5893, which is a product of 71 and an integer | 0 |

5964 | 71 x 84 = 5964, which is a product of 71 and an integer | 0 |

6035 | 71 x 85 = 6035, which is a product of 71 and an integer | 0 |

6106 | 71 x 86 = 6106, which is a product of 71 and an integer | 0 |

6177 | 71 x 87 = 6177, which is a product of 71 and an integer | 0 |

6248 | 71 x 88 = 6248, which is a product of 71 and an integer | 0 |

6319 | 71 x 89 = 6319, which is a product of 71 and an integer | 0 |

6390 | 71 x 90 = 6390, which is a product of 71 and an integer | 0 |

6461 | 71 x 91 = 6461, which is a product of 71 and an integer | 0 |

6532 | 71 x 92 = 6532, which is a product of 71 and an integer | 0 |

6603 | 71 x 93 = 6603, which is a product of 71 and an integer | 0 |

6674 | 71 x 94 = 6674, which is a product of 71 and an integer | 0 |

6745 | 71 x 95 = 6745, which is a product of 71 and an integer | 0 |

6816 | 71 x 96 = 6816, which is a product of 71 and an integer | 0 |

6887 | 71 x 97 = 6887, which is a product of 71 and an integer | 0 |

6958 | 71 x 98 = 6958, which is a product of 71 and an integer | 0 |

7029 | 71 x 99 = 7029, which is a product of 71 and an integer | 0 |

7100 | 71 x 100 = 7100, which is a product of 71 and an integer | 0 |

## Read More About Multiples of 71

## Important Notes

**Odd Numbers:**All multiples of 71 are odd numbers, as 71 is an odd number.**Divisibility:**A number is a multiple of 71 if it can be divided by 71 with no remainder.**Factors:**Multiples of 71 have 71 as one of their factors.**Infinite Sequence:**There are infinitely many multiples of 71, extending indefinitely as 71, 142, 213, 284, 355, and so on.**Arithmetic Pattern:**The difference between consecutive multiples of 71 is always 71.

## Examples on Multiples of 71

#### Simple Multiples

**71:**71 x 1 = 71**142:**71 x 2 = 142**213:**71 x 3 = 213

#### Larger Multiples

**355:**71 x 5 = 355**710:**71 x 10 = 710**1420:**71 x 20 = 1420

## Real-Life Examples

**Minutes in 71 hours:**71 hours x 60 minutes/hour = 4260 minutes. This means 4260 minutes is a multiple of 71 because 71 x 60 = 4260.**Savings:**If you save $71 each week, in 10 weeks you would have saved 71 x 10 = $710. This shows that $710 is a multiple of 71.**Distance:**If you measure a distance of 71 feet each day, in 5 days you would measure 71 x 5 = 355 feet, indicating 355 feet is a multiple of 71.

## Practical Examples of Multiples of 71

**Time Management:**If you schedule a meeting that lasts 71 minutes and need to hold three such meetings, the total time required would be 71 x 3 = 213 minutes, which is a multiple of 71.**Savings Plan:**Suppose you decide to save $71 every month. In six months, your total savings would be 71 x 6 = $426, showing that $426 is a multiple of 71.**Travel Distance:**If a bus travels 71 miles each day, in seven days it would cover 71 x 7 = 497 miles, indicating 497 miles is a multiple of 71.**Group Arrangement:**In an event where each row has 71 chairs, arranging four rows would require 71 x 4 = 284 chairs, demonstrating that 284 is a multiple of 71.**Inventory Management:**A warehouse receives shipments of 71 boxes each week. Over eight weeks, the total number of boxes received would be 71 x 8 = 568, showing that 568 is a multiple of 71.

## Practical Applications

**Counting by Seventy-Ones:** When counting by seventy-ones (71, 142, 213, 284…), you are listing the multiples of 71.

**Multiples of 71:** Any multiple of 71, such as 142 or 213, is a multiple of 71 because it can be divided evenly by 71.

**Is 710 a multiple of 71?**

Yes, 710 is a multiple of 71 because 71 x 10 = 710.

**What are the first five multiples of 71?**

The first five multiples of 71 are 71, 142, 213, 284, and 355.

**Is 1065 a multiple of 71?**

Yes, 1065 is a multiple of 71 because 71 x 15 = 1065.

**Can multiples of 71 be negative?**

Yes, multiples of 71 can be negative if 71 is multiplied by a negative integer (e.g., 71 x -1 = -71).

**Is 0 a multiple of 71?**

Yes, 0 is a multiple of 71 because 71 x 0 = 0.

**Are multiples of 71 divisible by 10?**

No, multiples of 71 are not necessarily divisible by 10, as 71 is not a factor of 10.

**What is the 10th multiple of 71?**

The 10th multiple of 71 is 71 x 10 = 710.

**Is 213 a multiple of 71?**

Yes, 213 is a multiple of 71 because 71 x 3 = 213.

**How do multiples of 71 relate to the number 7?**

Since 71 is a multiple of 7, any multiple of 71 is also a multiple of 7.

**What is the 20th multiple of 71?**

The 20th multiple of 71 is 71 x 20 = 1420.

**Is 284 a multiple of 71?**

Yes, 284 is a multiple of 71 because 71 x 4 = 284.