Divisibility Test for a number (7170) by 6, 8, 9, 10 or 11 (Unit: Factors and Multiples)

Q. Is 7170 divisible by 6, 8, 9, 10 or 11 ? and give a reason.


Solutions: 


7170 is divisible by 6 as it is divisible by both 2 and 3. 

7170 is not divisible by 8 as the last three digits i.e 170 is not divisible by 8.

7170 is not divisible by 9 as the sum of its all digits i.e 7+1+7+0 = 15 is not divisible by 9.

7170 is divisible by 10 as its ending digit is 0.

7170 is not divisible by 11 as difference of its alternate digits (7+7) - (1+0) = 14 - 1 = 13  0 or multiple of 11.

Thus 

7170 is divisible by 6 and 10 -----------Ans.



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