Question

2. What is smallest number by which 392 must be multiplied so that the product is a perfect cube,
(A) 7
(B) 2
(C) 5
(D) 3​

Answer 1

Step-by-step explanation:

Hence, 7 is the smallest number by which 392 must be multiplied so that the product is a perfect cube.

Answer 2

Step-by-step explanation:

Let us factories 392 and see what happens:

392 = 2 × 2 × 2 × 7 × 7

Here, The prime factor 7 does not appear in a group of three. Therefore, 392 is not a perfect cube. To make its a cube, we need one more 7.

Hence, 7 is the smallest number by which 392 must be multiplied so that the product is a perfect cube.