Find the Prime Factorization 120

Problem

120

Solution

1. Divide the number by the smallest prime number, which is 2

120÷2=60

2. Continue dividing the result by 2 as long as it remains even.

60÷2=30

30÷2=15

3. Divide the next result by the next smallest prime number, which is 3

15÷3=5

4. Identify that the remaining number, 5 is a prime number.

5÷5=1

5. Collect all the prime factors used in the divisions.

2⋅2⋅2⋅3⋅5

6. Write the factors in exponential form.

2⋅3⋅5

Final Answer

120=2⋅3⋅5

Want more problems? Check here!