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How Many Integers Are Divisible by 6 Between 1 and 100?

Published in Number Theory 1 min read

There are 16 integers divisible by 6 between 1 and 100.

Understanding the Calculation

To find the number of integers divisible by 6 between 1 and 100, we can use simple division. We divide 100 by 6:

100 รท 6 = 16 with a remainder of 4.

The quotient, 16, represents the number of times 6 fits completely into 100. Each of these instances corresponds to an integer divisible by 6. The remainder is irrelevant in this context.

List of Integers Divisible by 6 (1-100)

Here's a list of the integers between 1 and 100 that are divisible by 6, confirming our calculation:

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96

Multiple sources (Quora, Quora, Answers, Quora, Mathopedia) corroborate this answer.

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