To draw factor tree diagrams that break down numbers into their prime factors. The document provides examples of factorizing the numbers 36, 780, and 2100 by breaking them down into their prime number factors. It also provides additional practice numbers 240, 360, 125, 1400, and 1640 and instructs the reader to draw factor trees for these numbers by factorizing them into their prime factors.

1. Number Aim: To be able to draw a factor tree diagram

2. Prime numbers The first 10 prime numbers are: 3 5 7 11 13 17 19 23 29 2

3. Factor trees 36 4 9 2 2 3 3 36 = 2 × 2 × 3 × 3 = 22× 32

4. Factor trees 780 78 10 39 2 2 5 3 13 780 = 2 × 2 × 3 × 5 × 13 = 22× 3 × 5× 13

5. Factor trees 2100 30 70 6 5 10 7 2 3 2 5 2100 = 2 × 2 × 3 × 5 × 5 × 7 = 22× 3 × 52 × 7

6. Now try these: 240 360 125 1400 1640