wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Find the cube root of 175616 by the prime factorization method.


Open in App
Solution

Evaluate the Cube Root:

The given number is 175616.

After resolving the prime factors, we get

175616=2×2×2×2×2×2×2×2×2×7×7×7

Upon grouping the factors we get

175616=(2×2×2)×(2×2×2)×(2×2×2)×(7×7×7)

Taking one factor from each group

1756163=2x2x2x7

=56

Hence, the required cube root is 56.


flag
Suggest Corrections
thumbs-up
20
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Cube Roots
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon