Question

find the smallest number by which each of the following numbers must be multiplied to obtain a perfect cube

(I) 243

(ii) 256

(iii) 72

(iv) 675

(v) 100
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Answer 1

Answer:factors of the number is

(i) 243: 3×3×3×3×3

so it must be multiplied by 3.

(ii) 256: 2×2×2×2×2×2×2×2

show the given number must be multiplied by 2 to make it is perfect cube.

(iii) 72:2×2×2×3×3

so 72 must be multiplied by 3 to make it a perfect cube.

(iv) 675:3×3×3×5×5

so it should be multiplied by 5

(v) 100:2×2×5×5

so it should be multiplied by 10