Finding the Prime Factorization of any Number

1
Finding the Prime Factorization of any Number
2
Finding all the Factors for the number below.

• Previously we learned how to find the prime
  factorization of a number.
• To find all the factors of 18, we will use the
  prime factors to help.
• 1 and 18 are factors.

18
2
9
3
3
3
Finding all the Factors for the number below.

• The factors for 18 are 2, 3, 3. Find all the
  possible combinations that can be made with the
  prime numbers
• Choose 1 number at a time. Choose 2.
• What is left?
• Choose 3 this time.
• What is left?

18
x
2
3
3
x
2 ,
3 x 3
3 ,
2 x 3
4
Finding all the Factors for the number below.
18
x
2
3
3
x
All Factors for 18
18
1 ,
2 ,
3 x 3
2 ,
9
3 ,
2 x 3
3 ,
6
All the Factors for 18 are 1, 2, 3, 6, 9, 18
5
Finding all the Factors for the number below.
48
x
2
3
x
2
2
2
x
All Factors for 48
x
48
1 ,
2 ,
2 x 2 x 2 x 3
2 ,
24
3 ,
2 x 2 x 2 x 2
3 ,
16
2 x 2 ,
2 x 2 x 3
4 ,
12
2 x 3 ,
2 x 2 x 2
6 ,
8
All the Factors for 48 are 1, 2, 3, 4, 6, 8, 16,
24 48