Question

Find out the smallest number which when multiplied by 1352 will make a perfect cube.​

Answer 1

Answer:

13

Step-by-step explanation:

Prime factorising 1352, we get,

1352=2×2×2×13×13

         =2  

3

×13  

2

.

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

Here, number of 2's is 3 and number of 13's is 2.

So we need to multiply another 13 to the factorization to make 1352 a perfect cube.

Hence, the smallest number by which 1352 must be multiplied to obtain a perfect cube is 13.

Answer 2

Answer:

1352=13

is a perfect cube