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Tests of Divisibility

In your previous class you have learnt about various types of numbers and the properties that they satisfy. You have also learnt the tests of divisibility with 10, 5, 2, 3, 6, 4, 8, 9 and 11. In this lesson we will learn why the numbers are divisible by 10, 5, 2, 3, 6, 4, 8, 9 and 11.
A number is said to be divisible by another number, when the remainder is zero.

• A number is divisible by 10, if its ones digit is 0.
• A number is divisible by 5, if its ones digit is 0 or 5.

• A number is divisible by 2, if its ones digit is 0, 2, 4, 6 or 8.
• If a number is divisible by 10, then the number is also divisible by 2 and 5.

• A number is divisible by 9, if the sum of its digits is divisible by 9.
• A number is divisible by 3, if the sum of its digits is divisible by 3.
• If a number is divisible by 9, then the number is also divisible by 3.
• If a number is divisible by 3, then it may not necessarily be divisible by 9.