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Tests of Divisibility

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Tests of Divisibility - Lesson Summary

The tests of divisibility with 10, 5, 2, 3, 6, 4, 8, 9 and 11. In this, 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.

     •  If a number is divisible by 6, then the number is divisible by 2 as well as 3.

     •  If a number is divisible by 11, then the difference of its digits in odd places and the sum of its digits in    
        even places is either 0 or a multiple of 11.

     •  If a number is divisible by 4, then the number formed by its digits in units and tens places is divisible by 4.

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