Question

What are all the factor pairs of 32?

Answer 1

1, 32
2, 16
4, 8

Explanation:

Assumption: Looking for whole number factors.

If you include fractional or decimal factors then there are infinitely many factors.

One way is to use a factor tree and then use that to build up different combinations.

From this we observe that we have the following:

`[1]xx[32] -> 1,32`

`[2]xx[2xx2xx2xx2] -> 2, 16`

`[2xx2]xx[2xx2xx2]-> 4,8`

`[2xx2xx2]xx[2xx2]-> 8,4 " "larr "repeated pair"`

`[2xx2xx2xx2]xx[2]->16,2" "larr "repeated pair"`

`[32]xx[1] -> 32,1" "larr "repeated pair"`