Factor Trees
A composite number has more than two factors. 6 1 6
2 3
A prime number is greater than 1 and has exactly
5 1 5
two factors, itself and 1.
The factors of a number that are prime are called
prime factors.
Yo u can use a factor tree to help you find all the
prime factors, or the prime factorization, of a number.
Look at these factor trees for 12.
12 12
3 4 6 2
3 2 2 3 2 2
3 and 2 are prime numbers.
So the prime factorization of 12 is 3 2 2.
Copy and complete each factor tree.
- 30 2. 40 3. 54 4. 36
6 5 4 10 6 9 9 ?
? 2 ? ? 2 ?? 3 ??? ????
Draw a factor tree for each number.
- 16 6. 10 7. 20 8. 24 9. 27
- 32 11. 48 12. 35 13. 56 14. 72
6 2 12
3 2 2 12
3 4 12
3 2 2 12
4.2
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