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Question

Check the divisibility of 120357 by 3,4,8 and 9.


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Solution

Divisibility rule of 3- A number is divisible by 3 if the sum of its digits is divisible by 3.

120357 is divisible by 3 as the sum of its digits 1+2+0+3+5+7=18 which is divisible by 3.

Divisibility rule of 4- A number is divisible by 4 if the number formed by its last two digits i.e. tens and ones is divisible by 4.

120357 is not divisible by 4 as number formed by last two digits, i.e., 57 is not divisible by 4.

Divisibility rule of 8- A number is divisible by 8 if the number formed by the last three digits, i,e., hundreds, tens and ones is divisible by 8.

120357 is not divisible by 8 as 357 is not divisible by 8.

Divisibility rule of 9- A number is divisible by 9 it the sum of its digits is divisible by 9.

120357 is divisible by 9 as 1+2+0+3+5+7=18 which is divisible by 9.


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