Middle School

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------------------------------------------------ Explain why 186,426 is divisible by both 3 and 9.

Answer :

We will use divisibility criteria.

  1. Divisibility criteria for 3 : a natural number is divisible by 3 if the sum of its digits is a multiple of 3.
  2. Divisibility criteria for 9 : a natural number is divisible by 9 if the sum of its digits is a multiple of 9

So, to find out if 186,426 is divisible by both 3 and 9, we first compute the sum of its digits. We have

[tex]1 + 8 +6 +4 +2 +6 = 27[/tex]

Given that 27 is a multiple of 3 and 9, we conclude that 186,426 is divisible by both 3 and 9.

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