What is the smallest positive perfect cube that is a multiple of 180?
1 answer:
Answer:Factor it into its prime factors:
180 / 2 = 90
90 / 2 = 45
45 / 3 = 15
15 / 3 = 5
5 / 5 = 1
2 x 2 x 3 x 3 x 5
All of those factors pair should pair up in 3 members to make cube
2 x 2 x 2 x 3 x3 x 3 x 5 x 5 x 5 = (30)^3 = 27000
Smallest no. = 2 x 3 x 5 x 5 = 150
Step-by-step explanation:
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