Question

by which smallest number should 1372 be divided so that quotient is a perfect cube? also find the cube root of quotient ​

Answer 1

Step-by-step explanation:

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!

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Answer 2

Answer:

Now if we divide, 1372 by 4, we will get7^3=343 as the quotient. So the least number you have to divide 1372 by is 4to get a perfect cube.