Find the smallest number by which 432 must be multiplied so that the product is a perfect cube
Answers
Answered by
0
Answer:
The answer is 2 because you want Divisible by 432
Answered by
0
Answer:
4
Step-by-step explanation:
Prime Factorization of 432. Refer the attachment for Prime Factorization.
432 = 2 x 2 x 2 x 2 x 3 x 3 x 3
= 2³ x 2 x 3³
We see here that we have a trio of 2 and 3 but only one 2 to make a trio of 2's we need two more 2 i.e. 2 x 2 = 4. Therefore 4 shud be added to 432 to make it a perfect cube.
Check:
432 x 4 = 1728
∛1728 = 12
Hope it is helpful. Take care.
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