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Question

Test the divisibility of 980 by 2,3 and 6.


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Solution

Divisibility rule of 2 - A number is divisible by 2 if its ones place digits are 0,2,4,6 or 8.

980 is divisible by 2 as its ones place digit is 0.
Divisibility rule of 3 - A number is divisible by 3 if the sum of its digits is divisible by 3.

980 is not divisible by 3 as the sum of its digits 9+8+0=17 which is not divisible by 3.


Divisibility rule of 6 - A number is divisible by 6 if it is divisible by 2 and 3 both.

980 is divisible by 2 as its ones place is 0. But it is not divisible by 3 as 9+8+0=17 is not divisible by 3.
Thus, 980 is not divisible by 6.


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