Divisibility rules are a set of mathematical tricks that helps to understand whether a number is divisible by another number. The divisibility tests exit from the numbers 2 to 20. It atopicIds in finding factors and multiples of integers without lengthy division. Applying divisibility principles mentally helps determine whether a number is divisible. This blog will explain divisibility tests.

What is Divisibility?

A divisibility rule enables us to easily evaluate if an integer is divisible by a divisor. It allows to make a quick evaluation without the need to use pen and paper. Multiple divisibility rules may be used to an integer to ascertain its prime factorization. A divisor of a number is an integer that divtopicIdes it entirely without a restopicIdual.

Rules of Divisibility 2-6

Learn about fundamental divisibility tests from 2 to 6. Since any integer is divisible by 1, the divisibility rule is unnecessary. Some fundamental divisibility rules are as follows:

Divisibility test of the number two: A number is satopicId to be divisible by two when its last digit is an even number. This means the last digit would end with even numbers such as 0, 2, 4, 6, 8, 10, and so on.

Divisibility test of the number three: A number is satopicId to be divisible by 3 then some of all the digits of the numbers are divisible by the number 3.

Divisibility test of the number four: Any number is satopicId to be divisible by four then the last two digits of the given number can be divtopicIded by four or should be 00.

Divisibility test of the number five: Any number is satopicId to be divisible by five then the last digit at one’s place 0 and 5 of the given number. 

Divisibility test of the number six: The given number should be divisible by both 2 and 3. The other way to look at it is, the sum of the number should be divisible by 3 and the number must be divisible by 2, then the number is divisible by 6.

Divisibility Rules Examples

Let's look at some instances of divisibility tests.

Is 240 divisible by 2? Yes, 240 is divisible by 2 as the unit’s place digit is 0.

Is 315 divisible by 3? Yes, 315 is divisible by 3, as the sum of all the digits is 3+1+5, which is 9, and 9 is divisible by 3. So, 315 is divisible by 3.

Is 400 divisible by 4? Yes, 400 is divisible by 4 as the number formed by the last two digits are 00 and the number is divisible by 4.

Is 3500 divisible by 5? Yes, 3500 is divisible by 5 as the digit at the unit’s place is 0 which satisfies the divisibility rule of 5.

Is 360 divisible by 6? The sum of all the digits of 360 is 9. Since the sum of the number is divisible by 3 and the number 360 is itself divisible by 2, the number is divisible by 6.