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How Do You Know That a Number is Divisible by 2, by 5, and by 10?

Published in Mathematics 1 min read

A number's divisibility by 2, 5, and 10 can be easily determined by examining its last digit.

Divisibility Rule for 2

  • Even Numbers: A number is divisible by 2 if it's an even number.
  • Last Digit: An even number always ends in 0, 2, 4, 6, or 8.
  • Example: 124 is divisible by 2 because its last digit is 4.

Divisibility Rule for 5

  • Last Digit 0 or 5: A number is divisible by 5 if its last digit is either 0 or 5.
  • Example: 345 is divisible by 5 because its last digit is 5, and 780 is divisible by 5 because its last digit is 0.

Divisibility Rule for 10

  • Last Digit Must Be 0: A number is divisible by 10 if its last digit is 0.
  • Example: 560 is divisible by 10 because its last digit is 0.

In summary, quickly determining divisibility by these numbers relies on checking the final digit: if it ends in 0, 2, 4, 6, or 8, it is divisible by 2. If it ends in 0 or 5, it is divisible by 5. If it ends in 0, it is divisible by 10.

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