Question

Find the least number that must be multiplied with 12,544 to  make it as aperfect cube​

Answer 1

Step-by-step explanation:

Prime factorisation of 12,544 = (2×2×2)×(2×2×2)×2×2×7×7

So to make it a perfect cube we have to multiplied this number with 2×7 = 14.

Let's try this, 12,544×14 = 1,75,616

1,75,616 = (2×2×2)×(2×2×2)×(2×2×2)×(7×7×7)

= 2×2×2×7

= 56

So 1,75,616 is a perfect cube of 56.

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