Divisibility Rule of 16: Rule, Examples

Divisibility Rule of 16

A number is divisible by 16 if its last four digits form a number that is divisible by 16.

If the last four digits can be divided by 16 without a remainder, then the whole number is divisible by 16!

Steps to Check Divisibility by 16

1. Look at the last four digits of the number.

2. Check if that number is divisible by 16.

3. If it is, then the whole number is divisible by 16.

Examples

Example 1: Is 12,816 divisible by 16?

1. Last four digits: 2816

2. Check divisibility: 2816 ÷ 16 = 176 (No remainder)

12,816 is divisible by 16.

Example 2: Is 7,352 divisible by 16?

1. Last four digits: 7352

2. Check divisibility: 7352 ÷ 16 = 459.5 (Not a whole number)

7352 is not divisible by 16.

Know the divisibility rule of 19 here.

Try It Yourself:

Are they divisible by 16?
1. 5648
2. 9216
3. 4321

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FAQs

 

1. What is the Divisibility Rule of 16? 

A number is divisible by 16 if its last four digits are divisible by 16.

Example:
Is 32,768 divisible by 16? 

Check last 4 digits: 2768 ÷ 16 = 173 (no remainder). 

So, 32,768 is divisible by 16.

2. How to Find a Number Divisible by 16?

To check if a number is divisible by 16, see if its last four digits divide evenly by 16.

Example:
Is 4,096 divisible by 16?

4096 ÷ 16 = 256

So, 4,096 is divisible by 16.

3. What Numbers Are Evenly Divisible by 16?

Numbers ending in 0, 16, 32, 48, etc., are divisible by 16. You can also divide the number to check.

Example:
48 ÷ 16 = 3

So, 48 is divisible by 16.