Maths-

General

Easy

Question

# Find the least number by which 85750 must be divided so that the quotient is a perfect cube?

Hint:

**Hint :-** By prime Factorize the given number and we find the number to be divided so that the quotient is a perfect cube.

## The correct answer is: 2

### Explanation :-

Let's find the prime factorization of your number 85750

85750 = 2 × 42875

= 2 × 5 × 8575

= 2 × 5 × 5 × 1715

= 2 × 5 × 5 × 5 × 343

= 2 × 5 × 5 × 5 × 7 49

= 2 × 5 × 5 × 5 × 7 × 7 × 7

=

we know that the number is a perfect cube .So we need to divide 85750 by 2 to make the quotient a perfect cube

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