How do you find all factors of 36?

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Answer 1 · 2016-12-30T08:52:41

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

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

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

$1 \times 36 = 36$ $color(red)(1xx36)=36$

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

$2 \times 18 = 36$ $color(red)(2xx18)=36$

$3 \times 12 = 36$ $color(red)(3xx12)=36$

$4 \times 9 = 36$ $color(red)(4xx9)=36$

$6 \times 6 = 36$ $color(red)(6xx6)=36$

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

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