Math, asked by Anonymous, 1 year ago

What is the smallest positive perfect cube that is a multiple of 180?

Answers

Answered by NightFury
31
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
Answered by a1a2r3i4n5i6
5

Answer:

75

Step-by-step explanation:

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