Question

If 702 a perfect cube ? If not they by which
Smallest natural number should 702 be divided so
That the quotients is a perfect cube ?​

Answer 1

Correct option is

A

11

Prime factorising 704, we get,

704=2×2×2×2×2×2×11

=2

6

×11

1

.

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

Here, number of 2's is 6 and number of 11's is 1.

So we need to divide 11 from the factorization to make 704 a perfect cube.

Hence, the smallest number by which 704 must be divided to obtain a perfect cube is 11.

Answer 2

Answer:

No,

702 is not a perfect cube.

smallest natural number should 702 be divided so is 1.