Question : The least number that divides 37044, gives the result in a perfect cube, is:
Option 1: 2
Option 2: 4
Option 3: 14
Option 4: 21
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Correct Answer: 4
Solution :
We have to find the smallest number that divides 37044 and results in a perfect cube.
Here, 37044 = 2 × 2 × 3 × 3 × 3 × 7 × 7 × 7
= 4 × 3
3
× 7
3
= 4 × (21)
3
Therefore, the smallest number that divides 37044 and results in a perfect cube is 4.
Hence, the correct answer is 4.
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