FACTORS

Factors are the numbers you multiply together to get a product.

For example, the product 24 has several factors.

24 = 1 x 2424 = 2 x 1224 = 3 x 824 = 4 x 6SO, the factors are 1, 2, 3, 4, 6, 8, 12, 24

FINDING FACTORSStart 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?1 x 16

2 x 8

3 x ?? 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? 1 x 18

2 x 9

3 x 6

4 x ??5 x ??

6 x 3

Repeat! Cross it out! We’re done!

The factors are 1,2,3,6,9,18

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?

48

Step 1 – Start with a composite number.

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.

6 x 8

2 x 3 x 2 x 4

48

Step 4 – Find factors of these numbersuntil all factors are prime numbers.

6 x 8

2 x 3 x 2 x 4

2 x 3 x 2 x 2 x 2

48

Step 6 – Count how many numbers arethe same and write exponents for them.

2 x 2 x 2 x 2 x 3

2 x 3 = 484

WORKING TOGETHER!!!!!!!

Prime factor this number

4

Prime factor this number

42 x 22 = 4

2 = 4

Prime factor this number

6

Prime factor this number

6

2 x 3 = 6

Prime factor this number

22

Prime factor this number

22

2 x 11= 22

Prime factor this number

12

Prime factor this number

12

3 x 4

2 x 3 = 122

= 123 x 2 x 2 = 122 x 2 x 3 = 12

Prime factor this number

21

Prime factor this number

21

3 x 7= 21

Find the prime factors of these numbers