Index Notation and Prime Factorization

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

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

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

Next Lesson – Index Laws