Multiples of 67

Multiples of 67 are numbers that can be expressed as 67×𝑛 where 𝑛n is an integer. These multiples increase by 67 each time (e.g., 67, 134, 201, 268, 335) and are not necessarily even. In mathematics, particularly in algebra, squares, square roots, and fractions, multiples of 67 are crucial. They help in understanding numbers properties and performing various arithmetic operations efficiently. Recognizing these multiples aids in grasping complex mathematical ideas and solving algebraic equations. Multiples of 67 serve as essential building blocks in number theory, helping to explore patterns, relationships, and the behavior of numbers within mathematical frameworks. This understanding is fundamental to advancing in mathematics and developing problem-solving skills.

What are Multiples of 67?

Multiples of 67 are numbers that can be expressed as 67×n, where n is an integer. These numbers are always even and include values like 67, 134, 201, 268, and so on.

Prime Factorization of 67 : 1 & 67

First 10 Multiples of 67 are 67, 134, 201, 268, 335, 402, 469, 536, 603, 670.

First 50 Multiples of 67 are 67, 134, 201, 268, 335, 402, 469, 536, 603, 670, 737, 804, 871, 938, 1005, 1072, 1139, 1206, 1273, 1340, 1407, 1474, 1541, 1608, 1675, 1742, 1809, 1876, 1943, 2010, 2077, 2144, 2211, 2278, 2345, 2412, 2479, 2546, 2613, 2680, 2747, 2814, 2881, 2948, 3015, 3082, 3149, 3216, 3283, 3350

For example, 67, 134, 201 and 268 are all multiples of 67, 134 is not a multiple of 66 for the following reasons:

Number	Reason	Remainder
67	67 × 1 = 67, so it is a multiple of 67.	0
134	67 × 2 = 134, so it is a multiple of 67.	0
201	67 × 3 = 201, so it is a multiple of 67.	0
268	67 × 4 = 268, so it is a multiple of 67.	0
134	134 ÷ 66 = 2.0303, not an integer.	2

List of First 100 Multiples of 67 with Remainders

Number	Reason	Remainder
67	67 × 1 = 67, so it is a multiple of 67.	0
134	67 × 2 = 134, so it is a multiple of 67.	0
201	67 × 3 = 201, so it is a multiple of 67.	0
268	67 × 4 = 268, so it is a multiple of 67.	0
335	67 × 5 = 335, so it is a multiple of 67.	0
402	67 × 6 = 402, so it is a multiple of 67.	0
469	67 × 7 = 469, so it is a multiple of 67.	0
536	67 × 8 = 536, so it is a multiple of 67.	0
603	67 × 9 = 603, so it is a multiple of 67.	0
670	67 × 10 = 670, so it is a multiple of 67.	0
737	67 × 11 = 737, so it is a multiple of 67.	0
804	67 × 12 = 804, so it is a multiple of 67.	0
871	67 × 13 = 871, so it is a multiple of 67.	0
938	67 × 14 = 938, so it is a multiple of 67.	0
1005	67 × 15 = 1005, so it is a multiple of 67.	0
1072	67 × 16 = 1072, so it is a multiple of 67.	0
1139	67 × 17 = 1139, so it is a multiple of 67.	0
1206	67 × 18 = 1206, so it is a multiple of 67.	0
1273	67 × 19 = 1273, so it is a multiple of 67.	0
1340	67 × 20 = 1340, so it is a multiple of 67.	0
1407	67 × 21 = 1407, so it is a multiple of 67.	0
1474	67 × 22 = 1474, so it is a multiple of 67.	0
1541	67 × 23 = 1541, so it is a multiple of 67.	0
1608	67 × 24 = 1608, so it is a multiple of 67.	0
1675	67 × 25 = 1675, so it is a multiple of 67.	0
1742	67 × 26 = 1742, so it is a multiple of 67.	0
1809	67 × 27 = 1809, so it is a multiple of 67.	0
1876	67 × 28 = 1876, so it is a multiple of 67.	0
1943	67 × 29 = 1943, so it is a multiple of 67.	0
2010	67 × 30 = 2010, so it is a multiple of 67.	0
2077	67 × 31 = 2077, so it is a multiple of 67.	0
2144	67 × 32 = 2144, so it is a multiple of 67.	0
2211	67 × 33 = 2211, so it is a multiple of 67.	0
2278	67 × 34 = 2278, so it is a multiple of 67.	0
2345	67 × 35 = 2345, so it is a multiple of 67.	0
2412	67 × 36 = 2412, so it is a multiple of 67.	0
2479	67 × 37 = 2479, so it is a multiple of 67.	0
2546	67 × 38 = 2546, so it is a multiple of 67.	0
2613	67 × 39 = 2613, so it is a multiple of 67.	0
2680	67 × 40 = 2680, so it is a multiple of 67.	0
2747	67 × 41 = 2747, so it is a multiple of 67.	0
2814	67 × 42 = 2814, so it is a multiple of 67.	0
2881	67 × 43 = 2881, so it is a multiple of 67.	0
2948	67 × 44 = 2948, so it is a multiple of 67.	0
3015	67 × 45 = 3015, so it is a multiple of 67.	0
3082	67 × 46 = 3082, so it is a multiple of 67.	0
3149	67 × 47 = 3149, so it is a multiple of 67.	0
3216	67 × 48 = 3216, so it is a multiple of 67.	0
3283	67 × 49 = 3283, so it is a multiple of 67.	0
3350	67 × 50 = 3350, so it is a multiple of 67.	0
3417	67 × 51 = 3417, so it is a multiple of 67.	0
3484	67 × 52 = 3484, so it is a multiple of 67.	0
3551	67 × 53 = 3551, so it is a multiple of 67.	0
3618	67 × 54 = 3618, so it is a multiple of 67.	0
3685	67 × 55 = 3685, so it is a multiple of 67.	0
3752	67 × 56 = 3752, so it is a multiple of 67.	0
3819	67 × 57 = 3819, so it is a multiple of 67.	0
3886	67 × 58 = 3886, so it is a multiple of 67.	0
3953	67 × 59 = 3953, so it is a multiple of 67.	0
4020	67 × 60 = 4020, so it is a multiple of 67.	0
4087	67 × 61 = 4087, so it is a multiple of 67.	0
4154	67 × 62 = 4154, so it is a multiple of 67.	0
4221	67 × 63 = 4221, so it is a multiple of 67.	0
4288	67 × 64 = 4288, so it is a multiple of 67.	0
4355	67 × 65 = 4355, so it is a multiple of 67.	0
4422	67 × 66 = 4422, so it is a multiple of 67.	0
4489	67 × 67 = 4489, so it is a multiple of 67.	0
4556	67 × 68 = 4556, so it is a multiple of 67.	0
4623	67 × 69 = 4623, so it is a multiple of 67.	0
4690	67 × 70 = 4690, so it is a multiple of 67.	0
4757	67 × 71 = 4757, so it is a multiple of 67.	0
4824	67 × 72 = 4824, so it is a multiple of 67.	0
4891	67 × 73 = 4891, so it is a multiple of 67.	0
4958	67 × 74 = 4958, so it is a multiple of 67.	0
5025	67 × 75 = 5025, so it is a multiple of 67.	0
5092	67 × 76 = 5092, so it is a multiple of 67.	0
5159	67 × 77 = 5159, so it is a multiple of 67.	0
5226	67 × 78 = 5226, so it is a multiple of 67.	0
5293	67 × 79 = 5293, so it is a multiple of 67.	0
5360	67 × 80 = 5360, so it is a multiple of 67.	0
5427	67 × 81 = 5427, so it is a multiple of 67.	0
5494	67 × 82 = 5494, so it is a multiple of 67.	0
5561	67 × 83 = 5561, so it is a multiple of 67.	0
5628	67 × 84 = 5628, so it is a multiple of 67.	0
5695	67 × 85 = 5695, so it is a multiple of 67.	0
5762	67 × 86 = 5762, so it is a multiple of 67.	0
5829	67 × 87 = 5829, so it is a multiple of 67.	0
5896	67 × 88 = 5896, so it is a multiple of 67.	0
5963	67 × 89 = 5963, so it is a multiple of 67.	0
6030	67 × 90 = 6030, so it is a multiple of 67.	0
6097	67 × 91 = 6097, so it is a multiple of 67.	0
6164	67 × 92 = 6164, so it is a multiple of 67.	0
6231	67 × 93 = 6231, so it is a multiple of 67.	0
6298	67 × 94 = 6298, so it is a multiple of 67.	0
6365	67 × 95 = 6365, so it is a multiple of 67.	0
6432	67 × 96 = 6432, so it is a multiple of 67.	0
6499	67 × 97 = 6499, so it is a multiple of 67.	0
6566	67 × 98 = 6566, so it is a multiple of 67.	0
6633	67 × 99 = 6633, so it is a multiple of 67.	0
6700	67 × 100 = 6700, so it is a multiple of 67.	0

Read More About Multiples of 67

Table of 67

Important Notes

• Even Numbers: All multiples of 67 are not necessarily even numbers.
• Divisibility: A number is a multiple of 67 if it can be divided by 67 with no remainder.
• Factors: Multiples of 67 have 67 as one of their factors.
• Infinite Sequence: There are infinitely many multiples of 67, extending indefinitely as 67, 134, 201, 268, 335, and so on.
• Arithmetic Pattern: The difference between consecutive multiples of 67 is always 67.

Examples on Multiples of 67

Simple Multiples

134: 67 × 2 = 134

335: 67 × 5 = 335

536: 67 × 8 = 536

Larger Multiples

3350: 67 × 50 = 3350

6700: 67 × 100 = 6700

13400: 67 × 200 = 13400

Real-Life Examples

Time: 4020 seconds in 67 minutes is a multiple of 67 because 67 × 60 = 4020.

Money: 670 cents (or $6.70) is a multiple of 67 because 67 × 10 = 670.

Measurements: 2412 inches in 67 yards is a multiple of 67 because 67 × 36 = 2412.

Practical Examples of Multiples of 67

1. A football match lasts 4020 seconds. This is a multiple of 67 because 67 × 60 = 4020.
2. Buying 67 packs of gum, each containing 5 pieces, results in 335 pieces of gum. This is calculated as 67 × 5 = 335.
3. If a car travels at 67 miles per hour, it covers 134 miles in 2 hours. This is because 67 × 2 = 134.
4. A classroom with 67 rows of chairs, each row having 10 chairs, contains 670 chairs. This results from 67 × 10 = 670.
5. Baking 67 batches of cookies, with each batch using 4 eggs, requires 268 eggs. This demonstrates that 67 × 4 = 268.

Practical Applications

Counting by Sixty-Sevens: When counting by sixty-sevens (67, 134, 201, 268…), you are listing the multiples of 67.

Even Numbers: Any number that is a multiple of 67, such as 134 or 201, can be divided evenly by 67.