Question

What is the smallest number by which 675 may be multiplied so that the product is a perfect cube

Answer 1

Answer:

5

Hence, the smallest natural number by which 675 should be multiplied to make a perfect cube is 5 .

Answer 2

5 is the answer, i can explain that

.

$675= 5 \times 5 \times 3 \times 3 \times 3$

so, we can multiple one more 5, then is triples 5

.

$675= 5 \times 5 \times 5 \times 3 \times 3 \times 3$

pair of 3

.

$675 = {5}^{3} \times {3}^{3}$

$625 = {15}^{3}$

$5$