find the smallest number by which 200 should be multiplied to make it a perfect cube
Answers
Answer:
5
Step-by-step explanation:
200 multiplying by 5=1000
10^3=1000
5 is the smallest number which gives a perfect cube when multiplied by 200
Step-by-step explanation:
Given data
To find the smallest number which gives perfect cube when multiplied by 200
We have to find the smallest number which satisfies the given condition.
Lets starts from one (1),
1 × 200 = 200 (not a perfect cube)
2 × 200 = 400 (not a perfect cube)
3 × 200 = 600 (not a perfect cube)
4 × 200 = 800 (not a perfect cube)
5 × 200 = 1000 (perfect cube)
10 × 10 × 10 = 1000
A perfect cube is a one which contains the product of group of triples of same number.
Here 1000 is a perfect cube which contains products of three same number 10.
5 satisfies the given condition.
The smallest number which gives a perfect cube when multiplied by 200 is 5.
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