**Investigate index notation and represent whole numbers as products of powers of prime numbers (ACMNA149)**

**LO: To investigate index notation and represent whole numbers using the powers of prime numbers
**

**Know:**

- What factors and multiples are
- Multiplication facts 10 x 10

**Understand:**

- That numbers can be broken down to their prime numbers

**Do:**

- I can break numbers down to their prime factorization.

**Prime Factorization Example**

**Prime Factorization Example**

*Notes:*

## Prime factorization is used to break composite numbers down to only **prime numbers**.

## Remember prime numbers are numbers which only have **2 factors** for example, 17 can only be made by 1 x 17, which makes 17 a prime number.

## One strategy to keep in mind is that with prime factorization, if you completed the process correctly the** answer always ends up the same**. So it doesn’t matter how you start to break the original number down, it will always end up with the same prime factors.

## For example, in the first step of the picture above, 60 can be broken down into 6 x 10 or 2 x 30. In the end, the answer still ends up with 2 x 2 x 3 x 5, so whatever numbers you use to break down prime factorization, it doesn’t matter! This is because of the communitive property.

**Prime Factorization Videos**

**Prime Factorization Videos**

**Practice Questions**

**Practice Questions**

# My Maths 8

pg. 47 Exercise 1H Q. 1-2

pg. 53 Exercise 1I Q. 5, 7, 9-11, 13-15, 20-21