Question

find the smallest number by which 2560 must be multiplied so that the product becomes a perfect cube.

Answer 1

hey mate !

Here is your answer »»»»»»»»»»

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Step 1— Express 2560 as a product of its prime factors.

Step 2— Pair them

2560 = (2 × 2 × 2) × (2 × 2 × 2) × 2 × 2 × 5

Step 3— Since 2 & 5 are not in triplets, we need to multiply 2560 with 2 × 5 × 5 i.e. 50

Therefore, 50 is the smallest number by which 2560 must be multiplied in order to get a perfect cube.

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Hope this helps
@PoojaBBSR