Gujarat BoardEnglish MediumSTD 8MATHSCube and Cube Roots1 Mark
MCQ
Which among is the smallest number by which we should multiply $6125$ to get a perfect cube?
A
$3$
B
$2$
✓
$7$
D
$5$
✓
Answer
Correct option: C.
$7$
The prime factorization of $6125$ is:$ 5 \times 5 \times 5 \times 7 \times 7$
Here the prime factor $7$ does not appear in a group of three. To make it a perfect number, we need one more $7$
In that case $6125 \times 7 = 5 \times 5 \times 5 \times 7 \times 7 = 42875$ which is a perfect cube.
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