Question

what is the smallest number by which 416 must be multiplied to get the product as a perfect cube​

Answer 1

Answer:

Step-by-step explanation:

416=2*2*2*2*2*13

the no 2 and 13 are not in pair of three

so,

it should be multiplied by 2*13*13

so that it will become

416*338=140608=2*2*2*2*2*2*13*13*13

140608=(2*2*13)^(3)

140608=(52)^(3)

Answer:338

Answer 2

Answer:

338

Step-by-step explanation:

primefactorisation of

416=2×2×2×2×2×13

for perfect cubes the primefactorisation should have perfect cubes so we should multiply the missing numbers which makes a perfect cube

416=(2×2×2×2×2×13)×2×13×13

(416)×338

338 is the smallest number multipled to 416 to get perfect cube