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How do you know if a number is divisible by 4 and 8?

Published in Divisibility Rules 2 mins read

Here's how to determine if a number is divisible by 4 and 8:

Divisibility Rule for 4

To check if a number is divisible by 4, you only need to look at the last two digits of the number. If the number formed by the last two digits is divisible by 4, then the entire number is divisible by 4.

  • Example: Consider the number 778. The last two digits form the number 78. According to the reference (0:17), dividing 78 by 4 leaves a remainder of 2, so 778 is not divisible by 4.
  • Example: Consider the number 56. According to the reference (1:50), dividing 56 by 4 gives 14, so 56 is divisible by 4. This means that a larger number ending in 56 (e.g., 156, 1256, 10056) would also be divisible by 4.

Divisibility Rule for 8

To check if a number is divisible by 8, you need to examine the last three digits of the number. If the number formed by the last three digits is divisible by 8, then the entire number is divisible by 8.

In summary:

Divisibility Rule How to Check
By 4 Check if the number formed by the last two digits is divisible by 4.
By 8 Check if the number formed by the last three digits is divisible by 8.

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