How do you find all factors of 54?

1 Answer
Mar 2, 2018

The factors are:" "1,2,3,6,9,18,27,54

Explanation:

Find the square root first

sqrt54~~ 7.35

Half of the factors will be less than this.

Consider which numbers less than 7.35 are factors of 54

color(blue)(1,2,3),4,5,color(blue)(6),7

use factor pairs to find the other factors which are bigger than 7.35

1 xx54, " "2xx 27 and so on..

1,2,3,6,9,18,27,54 are all the factors

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Or write 54 as the product of its prime factors.

54 = 2xx3xx3xx3

Combine them in different ways:

One factor at a time: " "1,2,3
Two factors at a time:" "2xx3 = 6;" "3xx3= 9
three factors at a time:" "2xx3xx3 = 18;" "3xx3xx3= 27
all four factors:" "2xx3xx3xx3 =54

The factors are:" "1,2,3,6,9,18,27,54