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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


Team Careers360 8th Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

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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