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By which least number should 7168 be divided so that the resultant number is a perfect square?

By which least number should 7168 be divided so that the resultant number is a perfect square? Correct Answer 7

GIVEN:

Number = 7168

CALCULATION:

7168 = (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × 7

Hence,

7168 should be divided by 7 so that the resultant number is a perfect square.

Alternate option:

Option 1: When 7168 is divided by 6, it will not be completely divisible.

Option 2: When 7168 is divided by 4, 1792 is quotient which is not a perfect square.

Option 3: When 7168 is divided by 7, 1024 is quotient which is a perfect square.

Option 4: When 7168 is divided by 8, 896 is quotient which is not a perfect square.

Hence, 7 is the answer.

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