Question

By what least number should 324 be multiplied to get a perfect cube?
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Answer 1

Answer:

18

Step-by-step explanation:

324 = 2×2×3×3×3×3

multiply 2×3×3 = 18

Answer 2

process:

1. First find the prime factors.
2. make triplet pair.
3. see which factor left unpaired.the factor which left unpaired, so how many more numbers will multiply to that factor to make it a triplet is your answer.

Answer:

324=2×2×3×3×3×3

since 2×2×3 does not form a triplet. so we need 2×3×3 to make them triplet. so the least number should multiply with 324 to make it a perfect cube is 2×3×3=18.

for your clearity:

324=2×3×3

324 × 18=5832 which is a perfect cube.

so your answer is 18.