The least number by which 250 is multiplied to make it a perfect cube is
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Answered by
1
Step-by-step explanation:
Answer
Prime factorising, 250=2×
5×5×5
.
We know, a perfect cube has multiples of 3 as powers of prime factors.
The prime factor 2 does not appear in triplet form.
Therefore, 250 is not a perfect cube.
Since in the factorization, 2 appears only one time, we must divide the number 250 by 2, then the quotient is a perfect cube.
∴250÷2=125
=5×5×5=5
3
, which is a perfect cube.
∴ The smallest number by which 250 should be divided to make it a perfect cube is 2.
yashupadhyay100:
this is wrong answer. the q asked to multiply not divide
Answered by
0
Answer:
Your answer is 4 since the nearest multiplyable number to get a perfect cube is of 10 which is 10 × 10 × 10 = 1000
and 250 × 4 = 1000
so your answer is 4
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