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Divisibility Checks

In this topic, we will learn how to check if a number is divisible by another. We will also learn the concept of prime and composite numbers, and even and odd numbers.

Topic: Check the Divisibility of a number by 2, 3, 5, 9 and 10

  • All even numbers are divisible by 2. (Even numbers are numbers that end with the digits 0, 2, 4, 6 or 8.)

  • A number is divisible by 3 only if the sum of its digits is divisible by 3

  • A number is divisible by 5 only if its last digit is 0 or 5

  • A number is divisible by 9 only if the sum of its digits is divisible by 9

  • A number is divisible by 10 only if its last digit is 0

Topic: Check the Divisibility of a Number by 4 and 6

  • Whole numbers that are multiplied to find a product are called factors of that product. e.g.: 2 x 3 = 6

    So, 2 and 3 are factors of 6.

  • A number is divisible by 4 only if its last two digits are divisible by 4 or are 00.

  • A number is divisible by 6 if it is  divisible by 2 and 3 both.

  • All even numbers are divisible by 2. (Even numbers are numbers that end with the digits 0, 2, 4, 6 or 8)

  • A number is divisible by 3 only if the sum of its digits is divisible by 3.
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