# Divisibility Rule by 8

If the last 3 digits of a given number is divisible by 8 then we can say that the given number is divisible by 8.

Example: Is 1456 divisible by 8?

Solution: Last 3 digits are 456. Now divide it by 8 (456 /8 = 57)

Means 1456 is divisible by 8.

Example: Is 4832 divisible by 8?

Solution: Last 3 digits are 832. Now divide it by 8 (832 / 8 = 104)

Means 4832 is divisible by 8.

Point to be noted:

1. Number is divisible by 8 only if its last digit is even number. So don't check number ending with odd digits.

2. If the last 3 digits of a given number is Zero then given number is also divisible by 8.

Example: Is 98245 divisible by 8?

Solution: Last digit is odd number. Means 98245 is not divisible by 8.

### Let’s have practice for Divisibility rule by 8.

Which of the following numbers are divisible by 8?

2328, 65168, 14824, 14238, 3458, 432000

Solution:

2328 - 328 / 8 = 41. Hence, Divisible by 8.

65168 - 168 / 8 = 21. Hence, Divisible by 8.

14824 - 824 / 8 = 103. Hence, divisible by 8.

14238 - 238 / 8 = 29.75 which is not divisible by 8.

3458 - 458 / 8 = 57.25 which is not divisible by 8.

432000 - Last 3 digits are Zero. Hence, divisible by 8.

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