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GROWING A

FACTOR TREE

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Can we grow a tree of

the factors of 180?

180Can you think of one

FACTOR PAIR for 180 ?

This should be two numbers that multiply

together to give the

Product 180.

You might see that 180 is

an EVEN NUMBER

and that means that 2 is a factor…

2 x = 180� ?

OrYou might

notice that 180 has a ZERO in

its ONES PLACE which means it is a

multiple of 10.

SO…10 x = 180�

OrYou might

notice that 180 has a ZERO in

its ONES PLACE which means it is a

multiple of 10.

SO…10 x = 180�

10 x 18 = 180

10 18

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180

10 18

We “grow” this “tree” downwards

since that is how we write in English (and we can’t be sure how

big it will be - we could run out of paper if we grew

upwards).

NOW

You have to find

FACTOR PAIRS

for 10and18

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10

52

180

18

6 3

2 x 5 = 10 6 x 3 = 18

Find factors for 10 & 18

Click mouse to continue

ARE

WE

DONE

???

2 3 32

5

10

2 6

180

18

3

5

Since 2 and 3 and

5 are PRIME

NUMBERS they do not grow “new branches”. They just

grow down alone.

Since 6 is NOT a prime number -

it is a COMPOSITE NUMBER - it

still has factors. Since it is an

EVEN NUMBER we see

that:

6 = 2 x 3

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2 3 32

5

10

2 6

180

18

3

5… and if we flip it over we can see

why it is called a

tree