Prime, Composite, Prime Factorization

Factors Factors are the numbers you multiply together to get a product. EX: List the Factors of 24

What are the factors of 7? of 7 are 1 x 7 2 x ?? 3 x ?? 4 x ?? 5 x ?? 6 x ?? 7 x 1 are done.

What are the factors of 16? 1 x 16 2 x 8 3 x ?? 4 x 4 doubles = done The factors of 16 are

Play Factor Race Game

Prime and Composite Numbers have more than two factors. EX: 16 EXAMPLES: 6, 15, 18, 30, 100 Prime numbers are numbers that only have two factors: one, and the number itself. EX: 3 EXAMPLES: 3, 5, 7, 11, 31

In partners can you list at least 3 of each? List some Prime Numbers: List some Composite Numbers:

Prime Factorization- every composite number can be expressed as a product of prime numbers.

Example: Prime Factorization of 100. Now we deal with the 50. Divide it by 2 to get the next factors. 2 is a prime number, so we are done with it. 2 X 50 2 X 25 Both numbers are prime, leaving us with all primes. 5 x 5

What’s the Answer? Now, we just list our factors with multiplication signs between them. Use the circled prime numbers. 2 x 2 x 5 x 5

Exponent Form We have just listed our prime factorization for 100 as being 2 x 2 x 5 x 5. This is repeated multiplication. Repeated multiplication can be expressed with exponents. 2 x 2 can be expressed in exponent form: 22 5 x 5 can be expressed as 52 Put it together, and 2 x 2 x 5 x 5 is more simply put as 22 x 52

Try this on your own: 54

Try this one: 24

PRIME Factorization match up activity