Question

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

Answer 1

Step-by-step explanation:

2560= 8^3 *5. If we multiply the number by 5^2=25, the result will be 8^3* 5^3, which is the perfect cube. So 25 is the smallest positive integer

Answer 2

Answer:

we try to find by prime factorisation

step by step explaination

\sqrt[3]{2560 }

2560=

2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 5

clearly for making cube must be multiply by

5 \times 5

= 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 5

hence,

64060=2560 .

ans. = smallest number is 25

Step-by-step explanation:

hope this helped you

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