Question

Find the smallest number by which 12748 be multiplied so that the product is a perfect square.

• A. 3187
• B. 7814
• C. 4577
• D. 1842

Answer 1

The correct option is A 3187

Prime factorisation of $12748=2\times 2\times 3187$
On grouping the factors in pairs, we notice that one 3187 is left out. Thus, we
should multiply 12748 with 3187, so that prime factor 3187 gets grouped in pairs.
Hence, 12748 should be multiplied by 3187 to make it a perfect square.