No of divisors of 43200 which are perfect cubes
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Answer:
43200 = 2 × 216 × 100
= 2 × 2 × 108 × 10 × 10
= 2 × 2 × 2 × 54 × 2 × 5 × 2 × 5
= 2 × 2 × 2 × 2 × 27 × 2 × 5 × 2 × 5
= (2 × 2 × 2) × (2 × 2 × 2) × (3 × 3 × 3) × 5 × 5
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