Question

The least number by which 250 is multiplied to make it a perfect cube is​

Answer 1

Step-by-step explanation:

Answer

Prime factorising, 250=2×

5×5×5

.

We know, a perfect cube has multiples of 3 as powers of prime factors.

The prime factor 2 does not appear in triplet form.

Therefore, 250 is not a perfect cube.

Since in the factorization, 2 appears only one time, we must divide the number 250 by 2, then the quotient is a perfect cube.

∴250÷2=125

=5×5×5=5

3

, which is a perfect cube.

∴ The smallest number by which 250 should be divided to make it a perfect cube is 2.

Answer 2

Answer:

Your answer is 4 since the nearest multiplyable number to get a perfect cube is of 10 which is 10 × 10 × 10 = 1000

and 250 × 4 = 1000

so your answer is 4