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Home >> Factors >> Prime Factors >>

## Prime Factors

 Facts About Factors Prime Factorization Prime Factors Common Factors

Before you learn What are Prime Factors ?
You must first learn - What are Prime Numbers ?

Definition ----- Prime Factors
Factors of a given number which are prime number are called Prime Factors of that given number.

Following examples of Prime Factors can further help to understand this topic:-

Example 1 =Find the Prime Factors of 24
Answer= All Factors of the a given number 24 are 1, 2, 3, 4, 6, 8, 12, 24.
From the above Factors we can see that prime numbers are 2 and 3
So Prime Factors of given number 24 are 2 and 3.

Example 2 =Find the Prime Factors of 15.
Answer= All Factors of the a given number 15 are 1, 3, 5, 15
From the above Factors we can see that prime numbers are 3 and 5
So Prime Factors of given number 15 are 3 and 5.

Example 3 =Find the Prime Factors of 35.
Answer= All Factors of the a given number 35 are 1, 5, 7, 35
From the above Factors we can see that prime numbers are 5 and 7
So Prime Factors of given number 35 are 5 and 7.

Note :- A number can be written as a product of it's Prime Factors.
Example 1 = Given number 12 can be written as a product of it's Prime factors i.e 12 = 2 * 2 * 3.

Example 2 = Given number 15 can be written as a product of it's Prime factors i.e 15 = 3 * 5.

Example 3 = Given number 35 can be written as a product of it's Prime factors i.e 35 = 5 * 7.