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Multiples of 68 – 100+ List, Examples

Multiples of 68

Multiples of 68 are numbers that can be expressed as 68 times an integer. These numbers are also known as even numbers. Starting from 68, they follow a consistent pattern, increasing by 68 each time (e.g., 68, 136, 204, 272, 340, etc.). Multiples of 68 play a fundamental role in arithmetic and number theory, helping to understand even and odd numbers and serving as building blocks for more complex mathematical concepts. Recognizing and working with multiples of 68 is essential for performing various arithmetic operations efficiently.

What are Multiples of 68?

Multiples of 68 are numbers that can be expressed as 68×n, where n is an integer. These numbers are always even and include values like 68, 136, 204, 272, and so on.

Prime Factorization of 68 :  2x2x17

First 10 Multiples of 68 are 68 , 136, 204, 272, 340, 408, 476, 544, 612, 680.

First 50 Multiples of 68 are 68, 136, 204, 272, 340, 408, 476, 544, 612, 680, 748, 816, 884, 952, 1020, 1088, 1156, 1224, 1292, 1360, 1428, 1496, 1564, 1632, 1700, 1768, 1836, 1904, 1972, 2040, 2108, 2176, 2244, 2312, 2380, 2448, 2516, 2584, 2652, 2720, 2788, 2856, 2924, 2992, 3060, 3128, 3196, 3264, 3332.

For example, 68, 136, 204 and 272 are all multiples of 68, 126 is not a multiple of 68 for the following reasons:

NumberReasonRemainder
6868 x 1 = 68, exactly divisible0
13668 x 2 = 136, exactly divisible0
20468 x 3 = 204, exactly divisible0
27268 x 4 = 272, exactly divisible0
12668 x 1 + 58 = 126, not exactly divisible58

List of First 100 Multiples of 68 with Remainders

NumberReasonRemainder
6868 x 1 = 68, exactly divisible0
13668 x 2 = 136, exactly divisible0
20468 x 3 = 204, exactly divisible0
27268 x 4 = 272, exactly divisible0
34068 x 5 = 340, exactly divisible0
40868 x 6 = 408, exactly divisible0
47668 x 7 = 476, exactly divisible0
54468 x 8 = 544, exactly divisible0
61268 x 9 = 612, exactly divisible0
68068 x 10 = 680, exactly divisible0
74868 x 11 = 748, exactly divisible0
81668 x 12 = 816, exactly divisible0
88468 x 13 = 884, exactly divisible0
95268 x 14 = 952, exactly divisible0
102068 x 15 = 1020, exactly divisible0
108868 x 16 = 1088, exactly divisible0
115668 x 17 = 1156, exactly divisible0
122468 x 18 = 1224, exactly divisible0
129268 x 19 = 1292, exactly divisible0
136068 x 20 = 1360, exactly divisible0
142868 x 21 = 1428, exactly divisible0
149668 x 22 = 1496, exactly divisible0
156468 x 23 = 1564, exactly divisible0
163268 x 24 = 1632, exactly divisible0
170068 x 25 = 1700, exactly divisible0
176868 x 26 = 1768, exactly divisible0
183668 x 27 = 1836, exactly divisible0
190468 x 28 = 1904, exactly divisible0
197268 x 29 = 1972, exactly divisible0
204068 x 30 = 2040, exactly divisible0
210868 x 31 = 2108, exactly divisible0
217668 x 32 = 2176, exactly divisible0
224468 x 33 = 2244, exactly divisible0
231268 x 34 = 2312, exactly divisible0
238068 x 35 = 2380, exactly divisible0
244868 x 36 = 2448, exactly divisible0
251668 x 37 = 2516, exactly divisible0
258468 x 38 = 2584, exactly divisible0
265268 x 39 = 2652, exactly divisible0
272068 x 40 = 2720, exactly divisible0
278868 x 41 = 2788, exactly divisible0
285668 x 42 = 2856, exactly divisible0
292468 x 43 = 2924, exactly divisible0
299268 x 44 = 2992, exactly divisible0
306068 x 45 = 3060, exactly divisible0
312868 x 46 = 3128, exactly divisible0
319668 x 47 = 3196, exactly divisible0
326468 x 48 = 3264, exactly divisible0
333268 x 49 = 3332, exactly divisible0
340068 x 50 = 3400, exactly divisible0
346868 x 51 = 3468, exactly divisible0
353668 x 52 = 3536, exactly divisible0
360468 x 53 = 3604, exactly divisible0
367268 x 54 = 3672, exactly divisible0
374068 x 55 = 3740, exactly divisible0
380868 x 56 = 3808, exactly divisible0
387668 x 57 = 3876, exactly divisible0
394468 x 58 = 3944, exactly divisible0
401268 x 59 = 4012, exactly divisible0
408068 x 60 = 4080, exactly divisible0
414868 x 61 = 4148, exactly divisible0
421668 x 62 = 4216, exactly divisible0
428468 x 63 = 4284, exactly divisible0
435268 x 64 = 4352, exactly divisible0
442068 x 65 = 4420, exactly divisible0
448868 x 66 = 4488, exactly divisible0
455668 x 67 = 4556, exactly divisible0
462468 x 68 = 4624, exactly divisible0
469268 x 69 = 4692, exactly divisible0
476068 x 70 = 4760, exactly divisible0
482868 x 71 = 4828, exactly divisible0
489668 x 72 = 4896, exactly divisible0
496468 x 73 = 4964, exactly divisible0
503268 x 74 = 5032, exactly divisible0
510068 x 75 = 5100, exactly divisible0
516868 x 76 = 5168, exactly divisible0
523668 x 77 = 5236, exactly divisible0
530468 x 78 = 5304, exactly divisible0
537268 x 79 = 5372, exactly divisible0
544068 x 80 = 5440, exactly divisible0
550868 x 81 = 5508, exactly divisible0
557668 x 82 = 5576, exactly divisible0
564468 x 83 = 5644, exactly divisible0
571268 x 84 = 5712, exactly divisible0
578068 x 85 = 5780, exactly divisible0
584868 x 86 = 5848, exactly divisible0
591668 x 87 = 5916, exactly divisible0
598468 x 88 = 5984, exactly divisible0
605268 x 89 = 6052, exactly divisible0
612068 x 90 = 6120, exactly divisible0
618868 x 91 = 6188, exactly divisible0
625668 x 92 = 6256, exactly divisible0
632468 x 93 = 6324, exactly divisible0
639268 x 94 = 6392, exactly divisible0
646068 x 95 = 6460, exactly divisible0
652868 x 96 = 6528, exactly divisible0
659668 x 97 = 6596, exactly divisible0
666468 x 98 = 6664, exactly divisible0
673268 x 99 = 6732, exactly divisible0
680068 x 100 = 6800, exactly divisible0

Read More About Multiples of 68

Table of 68

Important Notes

  • Even Numbers: All multiples of 68 are even numbers, meaning they end in 0, 2, 4, 6, or 8.
  • Divisibility: A number is a multiple of 68 if it can be divided by 68 with no remainder.
  • Factors: Multiples of 68 have 68 as one of their factors.
  • Infinite Sequence: There are infinitely many multiples of 68, extending indefinitely as 68, 136, 204, 272, and so on.
  • Arithmetic Pattern: The difference between consecutive multiples of 68 is always 68.

Examples on Multiples of 68

Simple Multiples

  • 68: 68 × 1 = 68
  • 136: 68 × 2 = 136
  • 204: 68 × 3 = 204

Larger Multiples

  • 680: 68 × 10 = 680
  • 1360: 68 × 20 = 1360
  • 2040: 68 × 30 = 2040

Real-Life Examples

  • Time: 4080 seconds in 68 minutes is a multiple of 68 because 68 × 60 = 4080.
  • Money: $680 is a multiple of 68 because 68 × 10 = 680.
  • Measurements: 1360 inches is a multiple of 68 because 68 × 20 = 1360.

Practical Examples of Multiples of 68

  1. Time Management: Imagine scheduling tasks in a day where each task takes 68 minutes. By dividing an 8-hour workday into 68-minute intervals, you can fit approximately seven tasks (68 x 7 = 476 minutes) with some time left for breaks.
  2. Budgeting: If you save $68 each week, after 10 weeks, you’ll have saved $680. This helps in planning and achieving financial goals by breaking down savings into manageable weekly increments.
  3. Classroom Organization: A teacher can organize 68 students into groups of 4, resulting in 17 groups (68 ÷ 4 = 17). This allows for efficient group activities and collaborative learning.
  4. Cooking: When preparing a large meal, if each dish requires 68 grams of a certain ingredient, cooking for 5 dishes will require 340 grams (68 x 5 = 340). This ensures accurate measurement and consistency in recipes.
  5. Travel Planning: If a train travels 68 miles in one hour, a 5-hour journey would cover 340 miles (68 x 5 = 340). This helps in estimating travel times and distances for better itinerary planning.

Practical Applications

Counting by Sixty-Eights: When counting by sixty-eights (68, 136, 204, 272…), you are listing the multiples of 68.

Even Numbers: Any number that is a multiple of 68, such as 136 or 204, is a multiple of 68 because it can be divided evenly by 68.

Is 3400 a multiple of 68?

Yes, 3400 is a multiple of 68 because 68 x 50 = 3400.

How can multiples of 68 be used in real life?

Multiples of 68 can be used in scheduling, budgeting, classroom organization, cooking, and travel planning.

Is 68 a multiple of itself?

Yes, 68 is a multiple of itself because 68 x 1 = 68.

What is the smallest multiple of 68?

The smallest multiple of 68 is 68.

Is 204 a multiple of 68?

Yes, 204 is a multiple of 68 because 68 x 3 = 204.

How can you tell if a number is a multiple of 68?

A number is a multiple of 68 if it can be divided by 68 with no remainder.

Are multiples of 68 also multiples of 2?

Yes, since 68 is an even number, all multiples of 68 are also multiples of 2.

What is the 10th multiple of 68?

The 10th multiple of 68 is 680 (68 x 10 = 680).

Is 4624 a multiple of 68?

Yes, 4624 is a multiple of 68 because 68 x 68 = 4624.

What are common factors of multiples of 68?

Common factors of multiples of 68 include 1, 2, 4, 17, 34, and 68.

What is the pattern in the multiples of 68?

The pattern in the multiples of 68 is that each multiple increases by 68 (e.g., 68, 136, 204, 272, …).

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Practice Test

Which of the following is a multiple of 68?

136

204

340

408

of 10

What is the next multiple of 68 after 204?

272

340

 408

476

of 10

Which number is not a multiple of 68?

68

136

204

300

of 10

What is the product of 68 and 4?

272

340

408

476

of 10

What is the smallest multiple of 68 greater than 500?

544

612

680

748

of 10

What is the least common multiple of 68 and 136?

136

204

272

340

of 10

Which of the following numbers is the greatest multiple of 68 less than 700?

544

612

680

748

of 10

If a number is a multiple of 68, which of the following must it also be divisible by?

2

4

17

All of the above

of 10

Which multiple of 68 is closest to 1000?

816

912

1020

1084

of 10

What is the sum of the first three multiples of 68?

204

272

408

612

of 10

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