The cube root of the following numbers by prime factorization.
110592 and 54872 is ____,[[2]].

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Concept- The cube root of 110592 and 54872 are 48 and 38. We shall first factorise the provided integers into prime factors as part of the prime factorization procedure. The lowest prime factor, 2, will serve as our starting point, and if necessary, we will move on to factors 3, 5, 7, and so on. We shall arrange the prime factors into sets of three after acquiring all of them. To find the cube root, we will group three identical prime elements together, then take one prime component from each pair and multiply them.
Prime factors of 110592-

110592 as a product of its prime factors is below:

Hence, cube root of 110592 is 48 .
Prime factors of

54872 as a product of its prime factors is below:

Hence, cube root of 54872 is 38 .

Watch 3-min video & get full concept clarity