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Prime factorization using repeated division




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

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More Arithmetic Lessons, Free Math Worksheets

The prime factors of a number are factors which are prime numbers. We can find the prime factors of a number by repetitive division. This method is called prime factorization.

Example:

Find the prime factors of 36.

Solution:

prime factors

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.

Prime Factorization Using Stacked Division

This video provides two examples of how to use stacked division to find the prime factorization of a number rather than making a prime factorization tree.
Prime Factorization Using Stacked Division
This video provides two examples of how to use stacked division to find the prime factorization of a number rather than making a prime factorization tree.



Prime Factorization with Upside Down Division
Prime factors of a number can be found by using upside down division.
Prime Factorization using Division Method
Learn to find prime factors of a number using division method.


 
Prime Factorization with Upside Down Division.
The following video shows more examples of prime factorization using repeated division.


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