Divisibility Rules for 2, 4 and 10 - Examples, Exercises and Solutions

Divisibility Rules for 2, 4, and 10

Divisibility Criteria for 2

A number is divisible by $2$ if the units digit is even - that is, it divides by $2$ without a remainder.

Divisibility Rules for 4

First way: A number is divisible by $4$ if its last two digits are divisible by $4$ .
Second way: Multiply the tens digit by $2$ and add the units digit. If the result obtained is a multiple of $4$ , then the original number is as well.

Divisibility Rules for 10

A number is divisible by $10$ if its units digit is $0$ .

Practice Divisibility Rules for 2, 4 and 10

Question 1

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

Question 2

Is the number 10 divisible by 4?

Question 3

Is the number 15 divisible by 2?

Question 4

Is the number 21 divisible by 4?

Question 5

Is the number 43 divisible by 4?

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

Exercise #1

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

Video Solution

Step-by-Step Solution

The answer is yes - every number that is divisible by 10 is divisible by 2.

This can be learned through the divisibility rules of each number.

We know that to identify a number divisible by 10, we need to examine its ones digit,

only numbers whose ones digit is 0 are divisible by 10,

for example: 30, 510, 15610

We know that numbers whose ones digit is 0 are actually even numbers,

and even numbers are divisible by 2 without a remainder.

Therefore, we can be certain - every number that is divisible by 10 is also divisible by 2.

It's important to understand that this is not necessarily true in reverse, not every number that is divisible by 2 is also divisible by 10!

Answer

Answer

Question 1

Is the number 61 divisible by 10?

Question 2

Is the number 16 divisible by 2?

Question 3

Is the number 16 divisible by 4?

Question 4

Is the number 30 divisible by 10?

Question 5

Is the number 42 divisible by 2?

Exercise #6

Is the number 61 divisible by 10?

Video Solution

Answer

Question 1

Is the number 60 divisible by 10?

Question 2

Is the number 60 divisible by 4?

Question 3

Is the number 8 divisible by 2?

Question 4

If a number is divisible by 10, will it therefore be divisible by 4?

Answer

No.

Divisibility Rules for 2, 4 and 10 - Examples, Exercises and Solutions