How do you find all factors of 36?

1 Answer
Dec 30, 2016

Answer:

factors of #""36:{1,2,3,4,6,9,12,36}#

Explanation:

Factors of a number are numbers that divide exactly into that number. So the factors of #" "36" "#are the numbers that divide exactly into it.

One way is to find what pairs of numbers multiply to give #" "36" "#

#color(red)(1xx36)=36#

so #" "1" "#&#" "36" "#are factors.

#color(red)(2xx18)=36#

#color(red)(3xx12)=36#

#color(red)(4xx9)=36#

#color(red)(6xx6)=36#

There are no more possible pairs so we have all the factors in question

factors of #""36:{1,2,3,4,6,9,12,36}#