Prime Prime factorization

is a way of simplifying

a composite number

into prime numbers. Prime factors are prime numbers. 36

^

3x12

/ ^

3x4x3

/ ^ \

3x2x2x3 Here is an example of a prime factor tree. Okay, here's how you do it. You now have to

simplify 4 and 6. 2,3,5,7, and 11 are prime numbers. You see, 3 and 2 are

prime. Here is a factor chart. Lets say you want to simplify 24 into prime numbers.

I'm going to use a factor tree. 24

^

6x4 6 and 4 are factors

of 24. 24

^

4x6

^ ^

2x2x2x3 2x2x2x3 is the prime

factorization of 24. Now for some real-life

problems. Skyd has 36 brownies. She wants to cut them into smaller pieces.

But, she wants to be able to cut them up and not have them crumble. She wants to cut them up into small bite-size bits. Here's the answers. 36

^

6x6

^ ^

3x2x3x2 36

^

4x9

^ ^

2x2x3x3 36

^

3x12

^ ^

3x3x4

/ / ^

3x3x2x2 To put that in Either way, both got you

3x3x2x2 for the answer. exponents, it would be 2 and 3 are both prime. Prime numbers are numbers that have two factors; The factors are one and itself. Therefore, any number that is not even, or not divisible by any number is prime.

All even numbers are composite except for 2. 48

24

12

4

2 2

2

3

2 2 and 3 . 2 2 1 IS NOT A PRIME OR A COMPOSITE NUMBER.

ITS ONLY FACTOR IS ONE. 2, 18 36

^

2x18

/ ^

2x2x9

/ / ^

2x2x3x3 Factorization

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