Question

Is 68600 a perfect cube? If not, find the smallest number by which 68600 must be multiplied to get perfect cube.

Answer 1

Step-by-step explanation:

do the prime factorisation of 68600

2*2*2*5*5*7*7*7

you can see that 5 should be multiplied

Answer 2

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• We have, 68600 = 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7. In this factorisation, we find that there is no triplet of 5.

• So, 68600 is not a perfect cube. To make it a perfect cube we multiply it by 5.

• Thus,

• 68600 × 5 = 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 = 343000, which is a perfect cube.

• Observe that 343 is a perfect cube. From the question we know that 343000 is also perfect cube.