Question

8. Find the smallest number by which 2560 must be multiplied so that the product is a
perfect cube.
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Answer 1

Answer:

Step-by-step explanation:

2560

5 x 2^9

multiply the above no. with 5^2

5^3 x 2^9

(5x2^3)^3

so the no. that should be multiplyed is 25

Answer 2

Answer:

Use prime factorization

Find the attached file

After viewing the file...

$\sqrt[3]{2560}$ = 2x2x2x2x2x2x2x2x2x5

when we form trios of the same numbers 5 is left so, it needs 2 more 5's so 5x5 = 25 is the least number to multiply.