Question

2. Find the smallest number by which 4232 must be multiplied to make it a perfect cube
3. Find the smallest number by whách 329232 must be divided so that the resulting amber is a
cube​

Answer 1

Answer:

Prime factorising 4232, we get,

4232=2×2×2×23×23

=2

3

×23

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 23's is 2.

So we need to multiply another 23 to the factorization to make 4232 a perfect cube.

Hence, the smallest number by which 4232 must be multiplied to obtain a perfect cube is 23.