Factor Rainbows

1
Factor Rainbows

• I can find all the factors
• of a whole number.

2
What is a factor?

• Factoring means to take a number apart. Factors
  are what you multiply together to get a number.
• Example
• If our number is 10, two factors are 2 and 5
  because 2 x 5 is 10.

3
What are Factor Pairs?

• Factor pairs are two numbers that when
• Multiplied together equal your target
• number.
• For example Factor pairs for 10 are...
• 1 x 10 and 2x5
• There are 2 factor pairs for the number ten.

4
Finding Factors

• In order to find all of the factors of a number
  you need to go through all of the numbers that
  can be multiplied together to make that number.
• Our example number 10 has 4 factors...
• 1, 2, 5 and 10 because...
• 1 x 10 10
• 2 x 5 10

It has 4 factors!
5
Factor Rainbows

• What is a factor rainbow? A factor rainbow helps
  you find all of the factors. It is called a
  rainbow because all of the factor pairs connect
  to make a rainbow!

6
How do we do it!?!?!?

• Making a factor rainbow is easy as pie!
• Lets try one
• Find all of the factors for the number 12.
• We start by counting and seeing if a
• number can be multiplied to equal 12.

How many factor pairs are there for the number 12?
3
1
2
4
6
12
3
7
Steps

• Step One Start with 1 and the number itself.
• Step Two Count up by ones to see if you can
  multiply two numbers together to get your target
  number.
• Step Three Stop when you cant get anymore
  numbers in between.
• Step Four Connect the factor pairs!

8
One more time...

• How many factor pairs are there for
• the number 18?

How many factor pairs are there for 18?
3
1
18
2
9
3
6
9
YOU TRY!

• Make factor rainbows for the following
• numbers and tell how many factor pairs
• each number has.
• 15 24
• 20 63
• 35 17