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Question

Determine whether 6531088 is divisible by 2,4or 8


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Solution

Step 1: Checking the divisibility by 2

A number is divisible by 2 if its last ( unit’s) digit is divisible by 2 I.e., if its last digit is 0,2,4,6,8

The number 6531088 has 8 in its last digit , which is divisible by 2 2×4=8

Therefore 6531088 is divisible by 2

Step 2: Checking the divisibility by 4

A number is divisible by 4 if the number formed by its last two ( unit’s and ten’s ) digits is divisible by 4.

The number formed by last two digits of 6531088 is 88 which is divisible by 4 4×22=88

Therefore 6531088 is divisible by 4

Step 3: Checking the divisibility by 8

A number is divisible by 8 if the number formed by its last three ( unit’s , ten’s and hundred’s ) digits is divisible by 8.

The number formed by last three digits of 6531088 is 088 i.e., 88 which is divisible by 8 8×11=88

Therefore 65321048 is divisible by 8.

Hence , 6531088 is divisible by 2,4 and 8


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