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5 votes
Find the smallest value of k such that 3240k is a perfect cube

User Shinjin
by
3.3k points

2 Answers

3 votes

Answer:

225

Explanation:

3240k = 2×2×2×3×3×3×3×5×k

Every factor should be in groups of 3

(3×5)² = k

k = 225

User Freakyuser
by
4.1k points
3 votes

Answer:

Explanation:

Prime factorize 3240

3240 = 2*2*2*3*3*3*3*5

To be a perfect cube we have to multiply it by 5*5*3*3 = 25*9=225

User Maria Sakharova
by
2.7k points