Divisibility Rules for 2, 4, and 8

# Divisibility Rules for 2, 4, and 8

• Divisibility Rules
• Divisibility by 0
• Divisibility by 2
• Divisibility by 4
• Divisibility by 8
• Divisibility Rules for Exponents of 2
• Summary
• What’s Next?

In the previous segment, we learned about Prime and Composite numbers. In this segment, we will learn about the rules for divisibility by 2, 4, and 8.

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## Divisibility rules

To find if a number is divisible by another number, the number has to be divided by the other. If the remainder is 0, then it is divisible and if the remainder is non-zero then it is not divisible.

But doing long division is a tedious task.

For example,

to find out if 10,585 is divisible by 8, we will have to divide 10,585 by 8 which would be time-consuming.

Divisibility rules of certain numbers help in easily understanding whether a number is divisible by another number or not.

## Divisibility by 0

• Any number multiplied by zero results in a zero.
• Thus, zero divided by any number will result in a zero.
• This means the number zero is divisible by any number.

## Divisibility by 2

A number is divisible by 2 if the last digit, that is the digit in the units place of that number, is divisible by 2.

For example,

• 982,356 is divisible by 2 because its last digit 6 is divisible by 2.
• 10,987,659 is not divisible by 2 because its last digit 9 is not divisible by 2.

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