Question

# 14. By what least number 4320 be multiplied to obtain a number which is a perfect cube? (1) 25 (2) 100 (3) 50 (4) 5

Solution 14. (3)
1o/w/w w/N/N/N/N/N
4320
2160
1080
540
270
135
45
15
5
4320 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5
Clearly, to make 4320 a perfect cube, it must
be multiplied by 2 x 5 x 5 i.e. 50.

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