Question

Find the smallest number by which 3267 should be multiplied to obtain a perfect cube.​

Answer 1

Answer:

(1) To make it a cube we need to multiply it by 11

(2) The answer is the cube of 3 is 27 it is divisible.

Answer 2

Answer:

11 is the smallest number by which 3267 should be multiplied to obtain a perfect cube.​

Step-by-step explanation:

To find the smallest number should be multiplied to obtain a perfect cube first find prime factors of 3267.

Step 1: Prime factorization of 3267

3267 = 3 × 3 × 3 × 11 × 11

The prime factor 3 appears in the group of three, 11 does not appear in the group of three.

So, one 11 is required to complete the group.

Hence 11 is the smallest number by which 3267 should be multiplied to obtain a perfect cube.​