Question

Find the least number by which 77, 175 should be divided to make it a perfect cube number.

Options

• 200

• 525

• 15

• 225

Answer 1

225

Explanation:

77175 = 5 × 15435

= 5 × 5 × 3087

= 5 × 5 × 9 × 343

= 5 × 5 × 3 × 3 × 7 × 7 × 7

We cannot make triplets of 5 and 3, hence the given no. must be divided by 25 × 9 = 225, to make it a perfect cube.