# Factor

Factors are numbers you can multiply together to get another number:

Example: 2 and 3 are factors of 6, because 2 × 3 = 6.

# Multiple

### more ...

The result of multiplying a number by an integer (not a fraction).

Examples:
12 is a multiple of 3, because 3 × 4 = 12
-6 is a multiple of 3, because 3 × -2 = -6
But 7 is NOT a multiple of 3

# Index Notation

(Note: Index and Power mean the same things as Exponent)
 The exponent (or index or power) of a number sayshow many times to use the number in a multiplication. 102 means 10 × 10 = 100 (It says 10 is used 2 times in the multiplication)

### Example: 103 = 10 × 10 × 10 = 1,000

• In words: 103 could be called "10 to the third power", "10 to the power 3" or simply "10 cubed"

### Example: 104 = 10 × 10 × 10 × 10 = 10,000

• In words: 104 could be called "10 to the fourth power", "10 to the power 4" or "10 to the 4"

## Prime Factorization

"Prime Factorization" is finding which prime numbers multiply together to make the original number.
Here are some examples:

### Example 1: What are the prime factors of 12 ?

It is best to start working from the smallest prime number, which is 2, so let's check:
12 ÷ 2 = 6
Yes, it divided evenly by 2. We have taken the first step!
But 6 is not a prime number, so we need to go further. Let's try 2 again:
6 ÷ 2 = 3
Yes, that worked also. And 3 is a prime number, so we have the answer:
12 = 2 × 2 × 3

As you can see, every factor is a prime number, so the answer must be right.

Note: 12 = 2 × 2 × 3 can also be written using exponents as 12 = 22 × 3