Find the cube root of 15625 by prime factorisation method?

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answer is C.

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Detailed Solution

Concept- We will solve this by applying prime factorisation method.To find the cube root by prime factorisation method we need to divide the number by its prime factors.
We need to divide it until the last quotient is 1.
By dividing 15625 by its lowest prime factor that is 5 we get that,
Now we combine three same numbers into one group.
For square root we combine two numbers into one group and for cube root we combine three into one group.
By combining we can see that 25 is the cube root of 15625.
Therefore, 25 is our answer.
Hence, the correct answer is option 3) 25

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