Question

What is the smallest multiple for 704 should be multiply to get a perfect cube

Answer 1

Step-by-step explanation:

Grouping the prime factors of 704 into triples, 11 is left over. i.e. 64 is a perfect cube. Thus, the required smallest number is 11.

Answer 2

Answer:

Prime factorization of 704 is :-----

704 = 2* 2 * 2 *2 * 2 * 2 * 11

704 = 2³*2³ * 11

Here we can easily see that 11 is alone in power ,

if there were two more 11 it will be a perfect cube . (cube = power in 3 )

so,

we have to multiply 704 by = 11*11 = 121 (Ans)

(Mark as brainlist)