 # FACTORS.

## Presentation on theme: "FACTORS."— Presentation transcript:

FACTORS

Factors are the numbers you multiply together to get a product.
For example, the product 24 has several factors. 24 = 1 x 24 24 = 2 x 12 24 = 3 x 8 24 = 4 x 6 SO, the factors are 1, 2, 3, 4, 6, 8, 12, 24

FINDING FACTORS Start with 1 x the number. Try 2, 3, 4, etc.
When you repeat your factors, cross out the repeat - you’re done at this point. If you get doubles (such as 4 x 4), then you’re done. Repeats or doubles let you know you’re done.

What are the factors of 16? The factors of 16 are 1,2,4,8,16 1 x 16
3 is not a factor, so cross it out 4 x 4 doubles = done The factors of 16 are 1,2,4,8,16

What are the factors of 18? The factors are 1,2,3,6,9,18 1 x 18 2 x 9
Repeat! Cross it out! We’re done! 6 x 3 The factors are 1,2,3,6,9,18

Find all the factors of each number
Find all the factors of each number. List them in order from least to greatest. 25 ______. _______, _______ 27 _____, ______, _______,_______ 12 _____, _____, ______, _______, ______, _______. 15 _______, _______, _______ ,_______. 3 _______, ________.

How to find Prime Factors?
Step 1 – Start with a composite number. 48 Step 2 – Write down a multiplication that equals this number or any pair of factors of this number. 6 x 8 = 48

How to Do Prime Factorization Using a Factor Tree
Step 3 – Find factors of the numbers (factor ) you got in step 2. 48 6 x 8 2 x 3 x 2 x 4

Step 4 – Find factors of these numbers
until all factors are prime numbers. 48 6 x 8 2 x 3 x 2 x 4 2 x 3 x 2 x 2 x 2

2 x 2 x 2 x 2 x 3 Step 6 – Count how many numbers are
the same and write exponents for them. 2 x x 2 x 2 x 3 4 2 x 3 = 48

WORKING TOGETHER!!!!!!!

Prime factor this number
4

Prime factor this number
4 = 4 2 x 2 2 2 = 4

Prime factor this number
6

Prime factor this number
6 = 6 2 x 3

Prime factor this number
22

Prime factor this number
22 2 x 11 = 22

Prime factor this number
12

Prime factor this number
12 = 12 3 x 4 3 x 2 x 2 = 12 2 x 2 x 3 = 12 2 2 x 3 = 12

Prime factor this number
21

Prime factor this number
21 = 21 3 x 7

Find the prime factors of these numbers