In these lessons, examples, and solutions, we will learn how to find prime factors using factor trees and repeated division.

Related Topics:

Prime Factorization using factor trees

More Arithmetic Lessons

Free Math Worksheets

Examples of how to use stacked division to find the prime factorization of a number rather than making a prime factorization tree.

Helpful Divisibility Rules

A number is divisible by 2 if it is even or ends in 0, 2, 4, 6, 8.

A number is divisible by 3 if the sum of the digits is divisible by 3.
A number is divisible by 5 if it ends in 0 or 5.

Example:

Use division to find the prime factorization.

a) 300

b) 693

**Prime Factorization Using Stacked Division**

Example:

Use division to find the prime factorization of 6,552.**Prime Factorization with Upside Down Division**

Prime factors of a number can be found by using upside down division.**Prime Factorization using Division Method**

Example:

Find the prime factorization of the following by the division method

a) 12

b) 480**Prime Factorization with Upside Down Division**
**Examples of prime factorization using repeated division**

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

The** prime factors ** of a number are factors which are prime numbers. We can find the prime factors of a number by repetitive division or stacked division. To find the **prime factorization** of the number, we need to find the prime factors that when multiplied together gives the number.

Related Topics:

Prime Factorization using factor trees

More Arithmetic Lessons

Free Math Worksheets

* Example: *

Find the prime factors of 36.

The following diagrams show Prime Factorization of a number using Factors Trees and using Repeated Division. Scroll down the page for more examples and solutions of prime factorization.The prime factors of 36 are 2 and 3.

We can write 36 as a product of prime factors: 2 × 2 × 3 × 3

To find prime factors using the repetitive division, it is advisable to start with a small prime factor and continue the process with bigger prime factors.

Examples of how to use stacked division to find the prime factorization of a number rather than making a prime factorization tree.

Helpful Divisibility Rules

A number is divisible by 2 if it is even or ends in 0, 2, 4, 6, 8.

A number is divisible by 3 if the sum of the digits is divisible by 3.

Example:

Use division to find the prime factorization.

a) 300

b) 693

Example:

Use division to find the prime factorization of 6,552.

Prime factors of a number can be found by using upside down division.

Example:

Find the prime factorization of the following by the division method

a) 12

b) 480

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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