Find the smallest Number which when multiply with 53240 will make the product a perfect cube
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Let us factorize 53240
53240
/ \
2 26620
/ \
2 13310
/ \
2 6655
/ \
5 1331
/ \
11 121
/ \
11 11
/ \
11 1
Here, 2×2×2 and 11×11×11 occurs 3 times but 5 occurs only a single time so, to make this no. a perfect cube we need to multiply (5×5 ) i.e. 25.
So,25 is the smallest no. which will make the product into a perfect cube.
53240
/ \
2 26620
/ \
2 13310
/ \
2 6655
/ \
5 1331
/ \
11 121
/ \
11 11
/ \
11 1
Here, 2×2×2 and 11×11×11 occurs 3 times but 5 occurs only a single time so, to make this no. a perfect cube we need to multiply (5×5 ) i.e. 25.
So,25 is the smallest no. which will make the product into a perfect cube.
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