Find the smallest number by which 2560 must be multiplied so that the product is a
cube.​

2 thoughts on “Find the smallest number by which 2560 must be multiplied so that the product is a<br />cube.​”

1. Answer:

   0256

   Step-by-step explanation:

   0256

   is the answer.

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2. Step-by-step explanation:

   we try to find by prime factorisation

   step by step explaination

   \sqrt[3]{2560 }

   3

   2560

   2560=

   2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 52×2×2×2×2×2×2×2×2×5

   clearly for making cube must be multiply by

   5 \times 55×5

   = 25=25

   both side

   2560 \times 25 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 5 \times 5 \times 52560×25=2×2×2×2×2×2×2×2×2×5×5×5

   hence,

   64060=2560 .

   ans. = smallest number is 25

   please mark me brainliest

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