find the smallest number by which 43200 must be multiplied to make it a perfect cube
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67 answer and answer and
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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 Notice that the numbers 2 and 3 are in triplets whereas 5 is not Hence we have to multiply by 5 to make 43200 a perfect cube.
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