Prime FactorizAtion

Prime

Factorization

By May Larenio

Multiple Choice

What is a factor?

• A number or quantity that when multiplied with another produces a given number or expression.

• A number that can be divided by another number without a remainder.

• A Number

• A number expression to solve a multiplication problem

Multiple Choice

Which number is a factor of 18

• 4

• 8

• 6

• 36

Multiple Choice

Which are the factors of 24?

• 1, 2, 3, 8, 12, 24

• 2, 3, 4, 6, 8, 12

• 1, 2, 3, 4, 6, 8, 12, 24

Multiple Choice

What is the missing factor?

4 x _____ = 28

• 12

• 6

• 7

• 9

​Prime and Composite numbers

​Prime numbers are numbers that only have two factors: one and number itself.	​Composite numbers have more than two factors.
​Examples 3, 5, 7, 11, 31	​Examples: 6, 15, 18, 30, 100

Practice​

Directions

Identify each number as prime or composite.

Some text here about the topic of discussion

A Product of Primes

•Every composite number can be expressed as a product of prime numbers.

​•This is called prime factorization.

​

15 is a composite number.

It can be written as a product of primes: 3 x 5

Some text here about the topic of discussion

​Example

To find the prime factorization:

1. Divide the number by the first prime number possible.

2. Circle the prime number, and continue with the other factor.

3. Divide the new factor by a prime number.

4. Continue this process until the only numbers you have left are prime numbers.

​Example: Prime Factorization of 32.

Multiple Choice

Use a number tree to find the prime factorization of 60

• 5 x 3 x 2 x 2

• 7 x 6 x 5

Multiple Choice

Use a number tree to find the prime factorization of 42

• 4 x 4 x 3

• 7 x 3 x 2

Multiple Choice

Use a number tree to find the prime factorization of 72

• 2 x 2 x 2 x 3 x 3

• 4 x 3 x 3 x 2

Multiple Choice

Use a number tree to find the prime factorization of 18

• 3 x 3 x 2

• 3 x 3 x 3