*Factor Pairs of 36 are (1,36), (2,18), (3,12), (4,9), (6,6), (9,4), (12,3), (18,2), (36,1).*

## What Is A Factor Pair ?

Factor Pair is a set of two numbers that product give the original number. For example, here original number is 36 and we are searching for **factors of 36 in pairs**. If we multiply 4 to 9, its product will be 36 (original number).

If we see in the table of factors of 36, 1 multiply by 36 gives 36. So (1, 36) is a factor pair of 36. Let us see how many factor pairs can be achieved –

1 x 36 = 36

2 x 18 = 36

3 x 12 = 36

4 x 9 = 36

6 x 6 = 36

9 x 4 = 36

12 x 3 = 36

18 x 2 = 36

36 x 1 = 36

Similarly, negative factor pairs of 36 can be written as follows –

-1 x -36 = 36

-2 x -18 = 36

-3 x -12 = 36

-4 x -9 = 36

-6 x -6 = 36

-9 x -4 = 36

-12 x -3 = 36

-18 x -2 = 36

-36 x -1 = 36

Hence, 36 has 9 factor pairs i.e. (1,36), (2,18), (3,12), (4,9), (6,6), (9,4), (12,3), (18,2), (36,1).

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