1.

By which least number should 71232 be multipled so that the resultant number is a perfect square?1. 12312. 11133. 12344. 3411

Answer» Correct Answer - Option 2 : 1113

Concept used:

For a number to be a perfect square, each prime factor has to be paired.

Calculation:

71232 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 53

The factors 3, 7 and 53 are not paired.

Hence, 71232 must be multiplied by 1113 i.e. (3 × 7 × 53) for it to be a perfect square

∴ The number should be multiplied by 1113


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