# Prime Factorization - GCF - Factor Trees

Worksheet (Pre-Algebra)

## Prime Factorization - GCF - Factor Trees Worksheet

This worksheet contains problems on prime factorization and Greatest Common Factor. Students must determine whether a number is prime or composite, complete factor trees, find the prime factorization of numbers, and calculate the GCF (greatest common factor) between numbers.

## Lesson:

4. To find prime factorization of numbers, GCF, and construct factor trees

36

3

Yes

## Samples:

Primes
Prime Factorization
Greatest Common Factor

1) List the first eight prime numbers.

2) List the first eight composite numbers.

3) Is the number 1 prime or composite? Explain.

Tell whether the number is prime or composite.

4) 42
5) 41
6) 112
7) 101
8) 57

Write the prime factorization of the number. Write the answer using exponents.

10) 32
11) 42
12) 54
13) 48
14) 94
15) 58
20) 500
21) 850

Find the GCF of the numbers.

22) 16, 28
23) 49, 56
27) 80, 24
28) 70, 28
29) 220, 500
30) 81, 45