# Prime Factor Calculator

Prime Factor Calculator is an online tool that calculates and displays the prime factors of a given number. When prime numbers are multiplied to get the original number then they are known as prime factors.

## What Is a Prime Factor Calculator?

Prime Factor Calculator breaks up a given number into its corresponding prime factors. Prime numbers have only two factors, that is,1 and the number itself. Composite numbers have multiple factors. To use the * prime factor calculator*, enter the number in the given input box.

### Prime Factor Calculator

Note: Enter numbers up to three digits.

## How to Use a Prime Factor Calculator?

Follow the steps given below to determine the prime factors of a number using the prime factor calculator

**Step 1:**Go to Cuemath's online prime factor calculator.**Step 2:**Enter the number in the given input box**Step 3:**Click on**"Calculate"**to find the prime factors of the number entered.**Step 4:**Click on**"Reset"**to clear the field and enter new values.

## How Does Prime Factor Calculator Work?

There are two common methods to find the prime factors of a number. These are given as follows:

**1. Factor Tree Method**

- The given number is considered as the root of the tree. This number will be written at the top of the factor tree.
- Write a corresponding pair of factors of the given composite number. These will form branches of the tree.
- Now write down a pair of factors for each of the two factors from step 2. These will form the next branches of the tree.
- Continue this process till all the composite factors have been broken down into their prime factors.

**2. Division Method**

- The given number is divided by the smallest prime factor. This prime factor should divide the number completely without leaving any remainder.
- The quotient obtained in step 1 is again divided by the smallest prime factor without leaving a remainder.
- Until the quotient becomes 1 repeat step 2.
- All the divisors that were used to perform the division will represent the prime factors of the given number.

## Solved Examples On Prime Factors

**Example 1:** Find the prime factors of 30 and verify the result using the online prime factor calculator.

**Solution:**

Using the Division Method:

Prime factors of 30 are 2, 3, and 5

**Example 2:** Find the prime factors of 192 and verify the result using the online prime factor calculator.

**Solution:**

Using the Factor Tree Method

Prime factors of 192 are 2, 2, 2, 2, 2, 2, and 3

Now, try the prime factor calculator to find the prime factors of the following numbers.

- 196
- 29
- 333

**☛ Math Calculators:**