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How Many Two-Digit Numbers Are Multiplied by 3?

Published in Number Theory 1 min read

There are 30 two-digit numbers that are multiples of 3.

This can be calculated by dividing the largest two-digit number (99) by 3 and rounding down to the nearest whole number. This gives us 33. However, this includes the number 3 itself (which is a single-digit number). To find only the two-digit multiples of 3, we subtract the number of single-digit multiples of 3 (which are 3, 6, and 9). Therefore, there are 33 - 3 = 30 two-digit numbers that are multiples of 3.

This is supported by the provided reference stating "Thus, there are 30 two-digit numbers that are divisible by 3". The reference directly answers the question posed.

Other references provided discuss multiplication of multi-digit numbers, but aren't directly relevant to calculating the number of two-digit multiples of 3. They provide context on multiplication techniques but don't address the core question of the number of two-digit multiples of 3.

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