5. By which least number 250 should be divided to make it a perfect cube
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Answered by
1
Answer:
Divide it by
Step-by-step explanation:
250÷2= 125 =5^3
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Answered by
0
Step-by-step explanation:
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=53, which is a perfect cube.
∴ The smallest number by which 250 should be divided to make it a perfect cube is 2.
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