Question

Find the smallest number by which 41160 must be divided to get a perfect cube . Also find the cube root of the quotient

Answer 1

Step-by-step explanation:

first- do the prime factorisation of 41160

PRIME FACTORISATION :

2 (41160)

2 (20580)

2 (10290)

5 (5145)

3 (1029)

7 (343)

7 (49)

7 (7)

   1

So the number that must be divided is the two numbers that did not have a pair ie., 3,5

3 x 5 = 15 so divide 15

then you will get a perfect cube this is that number = 2744

no use the same prime factorisation method to fine the cube of 2744

and then group it by three's