Table of Contents
A Prime Number is a whole number greater than 1 that can not be made by multiplying other whole numbers.
The number that we can make by multiplying other whole numbers is a Composite Number.
Factors are the numbers you multiply together to get another number
4 × 2 = 8
From example above, the factors are 4 and 2
Prime Factorization is a method to find which prime numbers multiply together to make the original number.
Sometimes it is easier to break a number down into any factors you can, then work those factor down to primes.
Factor Tree can help find any factors of the number, then the factors of those numbers, etc, until we can’t factor any more.
Why find Prime Factors?
A prime number can only be divided by 1 or itself, so it cannot be factored any further!
Every other whole number can be broken down into prime number factors.
Unique Prime Factors
There is only one unique set of prime factors for any number.
330 = 2 × 3 × 5 × 11
The prime factors of 330 are 2, 3, 5 and 11
There is no other possible set of prime numbers that can be multiplied to make 330.
This idea is important and called the Fundamental Theorem of Arithmetic.