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How many two-digit numbers are divisible by 11?

Published in Divisibility and Numbers 1 min read

There are 9 two-digit numbers divisible by 11.

The reference provided lists all two-digit numbers divisible by 11: 11, 22, 33, 44, 55, 66, 77, 88, and 99. Counting these numbers confirms that there are nine of them.

Here's a breakdown:

  • The smallest two-digit number is 10.
  • The largest two-digit number is 99.
  • The smallest two-digit number divisible by 11 is 11 (11 x 1 = 11).
  • The largest two-digit number divisible by 11 is 99 (11 x 9 = 99).
  • Therefore, the two-digit multiples of 11 are 11 x 1, 11 x 2, 11 x 3, 11 x 4, 11 x 5, 11 x 6, 11 x 7, 11 x 8, and 11 x 9.

In summary, there are nine multiples of 11 that fall within the two-digit number range (10-99).

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