Question

What should be multiplied to 43200 to make it a perfect cube?

• A. 2
• B. 3
• C. 5
• D. Already a perfect cube

Answer 1

The correct option is C

5

For a number to be a perfect cube, its prime factors should be in the form of triplets
By prime factorization, 43200 = $2^6$× $3^3$× $5^2$

Only two 5’s are there so we need one more 5 to make a triplet.

So if 43200 is multiplied by 5, we get a perfect cube.