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# How do you find the prime factor of a number?

The process of writing a number as the product of prime numbers is prime factorization.

## Answer: The prime factors of a number can be found with the help of the division method or the factor tree method.

We have two ways to prime factorize numbers.

- Factor tree method
- Division method

**Explanation:**

Method 1: Prime factorization using the factor tree method

In the factor tree method, the factors of a number are found and then those numbers are further factorized until we reach the prime numbers. To do the prime factorization of a number using the factor tree method, follow the steps given below:

**Step 1:**Factorize the given number and write down the pair of factors as the next branches of the tree.**Step 2:**Repeat the steps, until we get the prime factors of all the composite factors.

Example: Find the prime factors of 225 using the factor tree method.

Method 2: Division method

The division method can also be used to find the prime factors of a large number by dividing the number by prime numbers. Follow the steps given below to find the prime factors of a number by using the division method:

**Step 1:**Divide the number by the smallest prime number such that the smallest prime number should divide the number completely.**Step 2:**Again, divide the quotient of step 1 by the smallest prime number.**Step 3:**Repeat step 2, until the quotient becomes 1.**Step 4:**Finally, multiply all the prime factors that are the divisors of the division.

Example: Find the prime factors of 225 using the division method.

### Thus, these are the different ways to calculate the prime factors of a given number.

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