Question

Find the smallest number which multiples 7744 so that the product be a perfect vube​

Answer 1

Question :- find the smallest number which multiples 7744 so that the product be a perfect cube ?

Answer :--

Lets do Prime factorization of 7744 first ,

→ 7744 = ( 2 * 2 * 2) * (2 * 2 * 2) * 11 * 11

Now, as we can see that, 2 and 2 pairs are of 3 , and 11*11 is left with unpair ,

so, we can say that, if we put one more 11 their, it will be a perfect cube of = 2 * 2 * 11 . .

So, our Required answer is = 11 .

If we Multiply 7744 with 11 , it will make a perfect cube of = 2 * 2 * 11 = 44 .

11 (Ans).