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Question

What is the divisibility rule for3 and 9?


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Solution

Divisibility rule for3 and 9.

  • Divisibility rule for3:If the sum of its digits is divisible by 3 then number is completely divisible by 3. For example: 243 is completely divisible by3 because sum of it's digits is 2+4+3=9 which is divisible by 3
  • Divisibility rule for 9: If the sum of its digits is divisible by 9 then number is completely divisible by 9.For example: 189 is completely divisible by 9 because sum of it's digits is 1+8+9=18=1+8=9 which is divisible by 9

Thus, the divisibility rule for3 and 9 is that the sum of its digits is divisible by3 ,9.


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