Find the smallest number by which 3600 must be divided to make it a perfect cube.
A15
B25
C450
D600
Explanation
3600 = 2^4 * 3^2 * 5^2. For a perfect cube, exponents must be multiples of 3. We have extra 2^1 * 3^2 * 5^2 = 2 * 9 * 25 = 450. Dividing by 450 gives 8 = 2^3.
Exam Relevance
- Topic: Number System
- Subtopic: Cubes & Cube Roots
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