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A trick to see if a number is divisible by 3, 6, or 9 is to use something called the digital root.

First, add all the digits up:

3+8+5+2 = 18

We want a single digit, so add the digits in 18 (from the previous step) up:

1+8 = 9

The nine (a single digit) is called the digital root.

  • If a digital root of a number is equal to 3, 6, or 9 than the number is divisible by 3.
  • If a digital root of a number is equal to 3, 6, or 9 AND the number is even, than the number is divisible by 6.
  • If a digital root of a number is equal to 9, than the number is divisible by 9.

The digital root of 3852 is 9, and 3852 is even, so using the rules above the number is divisible by 3, 6, AND 9.

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Q: Is 3852 divisible by 6
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