Factors of 100 and Multiples of 100

Our classes this week worked on finding the factors of 100 and then made comparisons of those factors to factors of multiples of 100. Here are some of our findings.

* The factors of 100 are - 1, 2, 4, 5, 10, 20, 25, 50, 100
* All the factors of 100 can be found by looking at common U.S. coins
100 pennies make a dollar - 100 x 1 = 100
20 nickels make a dollar - 20 x 5 = 100
10 dimes make a dollar - 10 x 10 = 100
4 quarters make a dollar - 4 x 25 = 100
and 2 half dollars make a dollar - 2 x 50 = 100
* 100 is an even, composite, and square number

While discussing the factors of 200, 300, 400, and 500 we made a chart of the factors of 100 compared to its multiples. A copy of the chart is shown below:















Our class observed:

* All the factors of 100 are also factors of all the multiples of 100
* Multiples of 100 have more factors than 100 (not all the factors of 300 are
factors of 100)
* You can use a pattern "rule" to find how many of each factor of 100 is in a
multiple of 100 (ex: If there are 4 25s in 100, then there are 5 x 4
25s in 500 or 20 25s in 500.)