Prime Factor Trees
This lesson covers:
- How to draw prime factor trees
- How to express a number as a product of its prime factors
Above is a prime factor tree for the number 210.
What is 210 as a product of its prime factors?
(Remember you should arrange the factors in ascending order)
10 x 21
2 x 3 x 5 x 7
2 x 7 x 3 x 5
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The number 180 can be expressed as: 2 x 2 x 3 x 3 x 5
How would you express this using powers (indices)?
23 x 32 x 5
22 x 32 x 5
2 x 3 x 52
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Express 280 as a product of its prime factors.
24 x 5 x 7
22 x 5 x 7
23 x 5 x 7
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Express 100 as a product of its prime factors.
2 x 22 x 52
24 x 52
22 x 52
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Express 56 as a product of its prime factors.
7 x 22
7 x 2 x 2
23 x 7
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