Find the smallest number by which 2400 be divided to make it a perfect cube
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300 is the answer to your question
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Answer:
300
Step-by-step explanation:
Prime Factorisation :
2400 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5
Only 1 triplet of 2 can be made.
Similar triplets of other nos: can't be made.
So, while taking cube root , the other nos can't be taken out.
Therefore, the Remaining nos. should be divided to make it a perfect cube.
The no: should be divided with 2 x 2 x 3 x 5 x 5 ,ie, 300.
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