what is the smallest number with which 12348 must be multiplied to make it a perfect cube

* 1

*3

*2

*6

Explain why????????? i did not understand how

My exams are tommorrow pleasee before nihght

First you got to prime factorize the numbers.In this case the numbers are

12348=2 X 2 X 3 X 3 X 7 X 7 X 7

Then we got to group the like numbers in groups of 3s(only for cubes)

so..

Here, the prime factor 7 appears in a group of three whereas the prime factors 2 and 3 do not appear in a group of three (each of them appears twice).

For a number to be a perfect cube, each of its prime factors should occur in groups of three. Thus, we have to make the prime factors 2 and 3 occur in groups of three. For this, we are required to multiply the number by 2 X 3 = 6.

so the smallest number to be multiplied to 12348 is 6.

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