Base Conversion Divisibility Test - Dividing By Nine

Dividing By Nine

The trick for determining if a number is divisible by nine is well-known: If the sum of the digits of a number is divisible by nine, then the number itself is as well. This is a special case of the general rule, made easy because no base conversion is necessary since 9 + 1 = 10, and we already use base 10.

Example: Is 2,340 divisible by 9?

  • a=9
  • b=2,340
  • x=a+1=10
  • y=b (base-10)=2,340
  • z=2+3+4+0=9
  • z/a=9/9=1, a natural number

2,340 is divisible by 9.

Read more about this topic:  Base Conversion Divisibility Test

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