Find the cube root of the given number by prime factorization method: 13824

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answer is B.

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Detailed Solution

Let’s find the cube root of the number using the factorization method first we will factorize the given numbers only by the prime numbers.
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Hence we can write (13824)=2×2×2×2×2×2×2×2×2×3×3×3
Now make triplet group of the factors of 13824:
(13824)=2×2×2×2×2×2×2×2×2×3×3×3

\sqrt[3]{13824} = 2 \times 2 \times 2 \times 3 = 24

Hence the cube root of 13824 is 24.
To check weather 24 is the cube root of 13824 or not we will find the cube of the number,
(24)3=24×24×24=13824
Hence we can say 24 is the cube root of 13824.

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