The document provides instructions on how to create and use factor trees to factorize numbers. It explains that a factor tree involves repeatedly dividing a number by prime factors until only prime numbers remain. Examples are given to show drawing the factor tree, writing the expanded and simplified forms. Students are then asked to complete factor trees for various numbers and self-assess their understanding of factor trees.

1. Factor
Trees
WHAT: TO BE ABLE TO FACTOR A RANGE OF
NUMBERS AND EXPAND AND SIMPLIFY THE
ANSWER.
WHY: COVERING UNIT 3 B2 WHICH IS
FACTORISING, ALSO FOR NOVEMBER MOCK
EXAM.

2. What is a factor tree?
A factor tree is a easy way of dividing and
using factors.

3. What is a factor tree?
COPY THE BELOW DIAGRAM IN YOUR
BOOK. (DRAW IN PENCIL FILL IN WITH
PEN)
5
110
22
You pick a number
You then pick a prime number that can go into the number you chose. (FACTOR)
For example, 5 goes into 110, 22 times. You put 22 on right and no in circle as it is not
a prime number. Then you circle the prime number which is always to the left of that
number. Watch the animation on the next page, it will explain how to do it.

4. What is a factor tree?
5
120
24
I picked 5, it goes into 120 (factor) and it is a prime number. I then wrote 24 on the right
as it is not a prime number and it is how many 5`s go into 120. Always use and circle
prime numbers on the left.

5. What is a factor tree?
You then carry on until
you get to 2 prime
numbers. So you carry
on dividing.
2 is circled because it
is a prime number.
2
120
245
12

6. What is a factor tree?
2
120
245
12
62
CARRY
ON
DIVIDING

7. What is a factor tree?
2
120
245
12
62
2
3
Now you have divided, you
have ended up with 2 prime
numbers. 6 divided by 2 = 3
Both 2 and 3 are prime numbers
so are in circles. Now you need
to expand an simplify.

8. What is a factor tree?
2
120
245
12
62
2
3
To expand you write out the
numbers in the circles. For this
diagram you would do the following.
5x2x2x2x3
If you type 5x2x2x2x3 into a calculator
you would get 120.
To simplify all you do is take the expanded
version. 5x2x2x2x3 and do the following
1 five = 5
3 two`s = 2 squared
1 three = 3
so simplified version is 5x2 squared x 3

9. What is a factor tree?
So you have got the example in your book,
on your whiteboards answer each of the follwoing
numbers but draw the factor tree, the
expanded and simplified version.

10. What is a factor tree?
165

11. What is a factor tree?
290

12. What is a factor tree?
560

13. What is a factor tree?
1180

14. What is a factor tree?
86428

15. What is a factor tree?
QUESTIONS:
1. 230
2. 450
3. 690
4. 700
5. 1678
6. 4805
7. 6086
8. 9045
9. 13075
10. 123456
EXTENTION/NEXT LESSON STARTER
SWAP BOOKS WITH SOMEONE, PURPLE PEN,
MARK THEIR WORK, IF ANY WRONG CHANGE IN
PURPLE PEN.
DO NEXT
SLIDE
BEFORE
END OF
LESSON

16. What is a factor tree?
WRITE ONE FROM EACH BOX THAT BEST SUITS YOU.
A = CAN DO FACTOR
TREES WITH NO
HELP AND CAN HELP
OTHERS, ALSO I CAN
EXPAND AND SIMPLIFY
B = CAN DO FACTOR
TREES WITH SOME
MISTAKES, BUT MAINLY
INDEPENDANT
C = HAVE TROUBLE DOING
FACTOR TREES BUT I CAN
DO THE BASICS.
1 = I FEEL
CONFIDENT
2 = I FEEL A
MIXTURE OF
CONFIDENCE
AND
HARDNESS
3 = I DO NOT
FEEL
CONFIDENT AT
ALL.
GIVE
YOURSELF
A WWW
AND A EBI
ALSO DO
THE SAME
IN
SOMEONE
ELSES
BOOK.