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

71, 142, 213, 284, 355, 426, 497, 568, 639, 710

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

Table 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

1. 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.
2. 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.
3. 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.
4. 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.
5. 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.