Find the smallest number by which 2250 must be multiplied so that the product is a perfect cube
Answers
Answered by
0
Answer:1684
Step-by-step explanation:
Answered by
4
Answer:
The smallest number is 12
Step-by-step explanation:
Given Problem:
Find the smallest number by which 2250 must be multiplied so that the product is a perfect cube.
Solution:
To Find:
Find the smallest number.
------------------------
Method:
First we have to find the prime factors:
2250 = 2 x 3² x 5³
Let the smallest number be x
⇒2250 = 2 x 3² x 5³
⇒2250x = 2³ x 3³ x 5³
⇒x = 2² × 3 = 12
Hence the smallest number is 12
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