Question

What is the smallest number by which you have to multiply the product 3 x 4 x 5 x 11 x 15 to get

a perfect square number? *

Answer 1

11

Explanation:

The prime factorization of the given product is ...

3 × 2^2 × 5 × 11 × 3·5 = 2^2 × 3^2 × 5^2 × 11

The factor required for this to be a perfect square is 11.

_____

Check

3·4·5·11·15 = 9900 ≈ 99.499^2

9900·11 = 108,900 = 330^2 . . . a perfect square number