Name__________________________
Section ________________________
Date__________ Time___________
Unit 1: Numbers and Counting
Worksheet #9: Prime Factors and Factor Pairs
Today we are going to explore the relationship between the prime factorization of a number
and all of its factors. For each of the following numbers, please do the following three things:
1) Find all the factors of the number by making a table.
2) Find the prime factorization of the number and write it using exponents.
3) Verify that each of the factors you found in your initial list comes from the prime
factorization by making a chart as we did in class.
Example: 100
Table:
Chart:
Factors: 1, 2, 4, 5, 10, 20,
25, 50, 100
1) 18
Factors:___________________________________
Prime factorization: _________________________
Chart:
Factors:
11  1
1 5  5
1  52  25
2 1  2
2  5  10
2  52  50
22  1  4
22  5  20
22  52  100
2) 75
Factors:_____________________________________
Prime factorization: ___________________________
Chart:
3) 196
Factors:_____________________________________
Prime factorization: ___________________________
Chart:
4) 40
Factors:_____________________________________
Prime factorization: ___________________________
Chart:
5) 108
Factors:_____________________________________
Prime factorization: ___________________________
Chart:
*6) Mickey Mouse was looking at a photo. Someone asked him. “Whose picture are you looking
at?” Mickey replied, “I do not have a brother or a sister, but this man’s father is my father’s son.”
So, whose picture was Mickey looking at?