Question

What is the smallest number by which 16807 must be multiplied so that the product is a perfect cube​

Answer 1

Answer:

Bro I d.on't kno.w. se.rch on goo.gle chr.ome

Answer 2

By prime factorising 16807, we get,

16807=7×7×7×7×7

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

Here, number of 7 is 5 .

So we need to multiply another 7×7 to the Factorization to make 16807 a perfect cube.

Hence, the smallest number by which 16807 must be multiplied to obtain a perfect cube is 7×7

=49