Divisibility Rules for 2, 4, and 10

Divisibility Criteria for 2

A number is divisible by 22 if the units digit is even - that is, it divides by 22 without a remainder.

Divisibility Rules for 4

First way: A number is divisible by 44 if its last two digits are divisible by 44.
Second way: Multiply the tens digit by 22 and add the units digit. If the result obtained is a multiple of 44, then the original number is as well.

Divisibility Rules for 10

A number is divisible by 1010 if its units digit is 00.

Suggested Topics to Practice in Advance

  1. Prime Numbers and Composite Numbers
  2. Prime Factorization
  3. Prime Factorization with Exponents

Practice Divisibility Rules for 2, 4 and 10

Examples with solutions for Divisibility Rules for 2, 4 and 10

Exercise #1

Is the number 43 divisible by 4?

Video Solution

Answer

No

Exercise #2

Is the number 42 divisible by 2?

Video Solution

Answer

Yes

Exercise #3

Is the number 30 divisible by 10?

Video Solution

Answer

Yes

Exercise #4

Is the number 8 divisible by 2?

Video Solution

Answer

Yes

Exercise #5

Is the number 21 divisible by 4?

Video Solution

Answer

No

Exercise #6

Is the number 61 divisible by 10?

Video Solution

Answer

No

Exercise #7

Is the number 16 divisible by 2?

Video Solution

Answer

Yes

Exercise #8

Is the number 16 divisible by 4?

Video Solution

Answer

Yes

Exercise #9

Is the number 60 divisible by 4?

Video Solution

Answer

Yes

Exercise #10

Is the number 60 divisible by 10?

Video Solution

Answer

Yes

Exercise #11

Is the number 15 divisible by 2?

Video Solution

Answer

No

Exercise #12

Is the number 10 divisible by 4?

Video Solution

Answer

No

Exercise #13

If a number is divisible by 4, is it necessarily also divisible by 2?

Video Solution

Answer

Yes.

Exercise #14

If a number is divisible by 2, is it therefore also divisible by 4?

Video Solution

Answer

No.

Exercise #15

If a number is divisible by 10, is it also therefore divisible by 2?

Video Solution

Answer

Yes.

Topics learned in later sections

  1. Divisibility Rules for 3, 6, and 9