# Divisibility by 8

There are 2 ways of finding whether any number is divisible by 8.

Always remember that odd numbers are not divisible by 8, i.e. any number whose last digit is 1, 3, 5, 7 or 9 is not divisible by 8.

Method 1: Any number is said to be divisible by 8 if the last 3 digits of that number is divisible by 8, i.e. number formed by Hundreds, Tens and Ones digit is divisible by 8.

For example: Is 234568 divisible by 8?

Number formed by last 3 digits of number 134568 is 568.

Now 568 ÷ 8 = 71, i.e. 568 is divisible by 8.

So, 234568 is divisible by 8.

Method 2: Any number is said to be divisible by 8, if the figure obtained when you add the Ones digit with double of Tens digit and 4 times of Hundreds digit, is divisible by 8, i.e. number formed by sum of Ones digit, 2 times the Tens digit and 4 times the Hundreds digit is divisible by 8.

For example: Is 234568 divisible by 8?

As per above formula, add Ones digit, i.e. 8 with double of Tens digit, i.e. 2 times of 6, with 4 times of Hundreds digit, i.e. 4 times 5 = 8 + 2 x 6 + 4 x 5 = 8 + 12 + 20 = 40.

Now 40 ÷ 8 = 5, i.e. 40 is divisible by 8.

So, 234568 is divisible by 8.

It is up to you to judge which method is easy, but my vote goes for Method 2.

Practice Questions:

Check whether below numbers are divisible by 8?

a. 424             b. 1616            c. 111112        d. 222224              e. 221

f.  24               g. 363              h. 12457          i. 2840                   j. 555