Question

What is the smallest number by which 2919 should be divided so that the quotient is a perfect cube? *

Answer 1

Step-by-step explanation:

order to find the smallest number to be divided first we factorize 8640.

⇒8640=2×2×2×2×2×2×3×3×3×5⇒8640=26×33×5

In the above factorization, we find that there is a triplet of 2 and 3 but there is no triplet of 5.

Hence, 5 is the smallest number which must divide 8640 so that the quotient is a perfect cube.

Answer 2

Answer:

"4".

Step-by-step explanation:

2197 is a perfect cube. Therefore, the smallest number by which 8788 must be divided to get the quotient as a perfect cube is “4”. Note: A perfect cube is a number which is obtained on multiplying the same number thrice.

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