Find the cube root of the following number by prime factorisation… - Vidyadip

MCQ

Find the cube root of the following number by prime factorisation method : $512$

A
$6$
✓
$8$
C
$7$
D
$9$

✓

Answer

Correct option: B.

$8$

Prime factorising, we get,
$512 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2$
$= 8 \times 8 \times 8.$
Here, the factor $8$ occur as triplet. Hence, it is a perfect cube.
Therefore, cube root of $512$, i.e. $\sqrt[3]{512}=8$

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