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# Prime Factorization Calculator

Insert the value and click calculate button to get the prime factors by using this prime factorization calculator.

## Prime Factorization Calculator

Prime factorization calculator is a tool that is used to calculate the prime factors of a given number.

## What is meant by prime factorization?

**Prime factorization **is a mathematical process that involves decomposing a positive integer into its prime factors. Prime factors are the prime numbers that, when multiplied together, result in the original number. To determine the prime factorization of a number, you identify the prime numbers that divide the given number evenly.

## How to find prime factors?

**Example 1: **

Determine the prime factors of **342**.

**Solution**

The Prime Factorization is:

2 × 3 × 3 × 19

**In Exponential Form:**

342 = 2 × 3^{2 }× 19

**CSV Format:**

2, 3, 3, 19

The Prime Factor Tree is:

**Example 2:**

Determine the prime factors of **625**.

**Solution**

**Step 1:**

The Prime Factorization is:

5 × 5 × 5 × 5

**Step 2:**

In Exponential Form:

625 = 5^{4}

CSV Format:

5, 5, 5, 5

**Step 3:**

The Prime Factor Tree is: