Download Fundamentals of Math Name Factoring Numbers Date Period To

Fundamentals of Math
Name
Factoring Numbers
Date
Period
To factor means to break down a number into other numbers- when those other numbers are
multiplied back together, you get the original number back. We want ALL of our factors to be prime
numbers: a prime number has only itself and the number 1 as factors.
What are some prime numbers?
One way to show your work for factoring is to use a Factor Tree- like thisFactor 108:
Some people prefer to factor (divide) like this:
Factor 108:
EVEN numbers are easy to start: ALL EVEN numbers divide by ___ .
Let’s factor 12:
After you have factored, pick off all of the numbers at the end of the “branches”So 12 =
Multiples of 5 are also easy- what are some multiples of 5?
ANY number ending in __ or ___ is a multiple of 5.
Let’s factor 45:
After you have factored, pick off all of the numbers at the end of the “branches”So 45 =
For all other numbers, you must first figure out what number we can divide by;
Let’s factor 343:
After you have factored, pick off all of the numbers at the end of the “branches”So 343 =
A.29 Complete for HW: (you must show your work to receive credit)!
Factor each of the following numbers using the factor tree method (or the “division method” if you
prefer): (If a number is Prime, write Prime)
1. 12
2. 27
3. 48
4. 56
5. 100
6. 45
7. 150
8. 840
9. 256
10. 355
11. 212
12. 183
13. 789
14. 29
15. 5260