Question

Find the least number by which 131712 should be divided to make it a perfect cube. Find the perfect cube so obtained and it's cube root.​

Answer 1

Answer:

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Let's take glance over our requirements, we need a number when divide 1372 gives a perfect cube.

For a number to be a perfect cube, its prime factorisation should have numbers in cube (i.e. x³y³z³…)

Prime factorisation of 1372 gives us:

1372= 2²×7³, So 2 is the only number not in cube. Therefore, multipliyng it by 2 or dividing it by 2² will make it a perfect cube.

1372/2² = 2²×7³/2² = 7³ = 343

So, the correct answer is 2²=4, as given in the figure!

Step-by-step explanation:

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