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Producing a list of factor pairs is the easiest way.

1 x 100

2 x 50

4 x 25

5 x 20

10 x 10

As 10 is duplicated then there are 9 different numbers that are factors of 100.

If if it just a total number of factors that is required (rather than the values) then this can be obtained by stating the original number in terms of its prime factors.

100 = 22 x 52.

Add 1 to each exponent and obtain the product : (2 + 1)(2 + 1) = 3 x 3 = 9 ......which confirms the answer given above.

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Q: How many different whole numbers are factors of 100?
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