With what least number must 8640 be divided so that the quotient is a perfect cube?
The prime factors of 8640 are
2 | 8640 |
2 | 4320 |
2 | 2160 |
2 | 540 |
2 | 270 |
3 | 135 |
3 | 45 |
3 | 15 |
5 | 5 |
1 |
= 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5= (2 x 2 x 2) x (2 x 2 x 2) x (3 x 3 x 3) x 5
Clearly, 8640 must be divided by 5.
Concept: Cube Root Through Prime Factorisation Method
Is there an error in this question or solution?
1 A1 B1 C1 D2 A2 B2 C2 D2 E34567
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