Find the smallest number which we get by multiplying it with 100 to get
perfect cube
Answers
Answered by
0
Answer:
1,2
smqllest number..digit limit not given
Answered by
3
Answer:
Therefore 100 must be multiplied by 2 × 5 2\times5 2×5= 10 to make it a perfect cube.
Step-by-step explanation:
Prime factorising 100, we get,
100=2×2×5×5
=2
2
×5
2
.
We know, a perfect cube has multiples of 3 as powers of prime factors.
Here, number of 2's is 2 and number of 5's is 2.
So we need to multiply another 2 and 5 in the factorization to make 100 a perfect cube.
Hence, the smallest number by which 100 must be multiplied to obtain a perfect cube is 2×5=10.
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