##
**Prime
Factors | Prime Factorization | Factor Tree**

###
**Prime
Factors**

The prime numbers among the factors of any number are
called

**prime factors**of that number. For example 1, 2, 3, 4, 6, 12 are factors of 12. Among them 2 and 3 are prime numbers. So, 2 and 3 are prime factors of 12.
Factors and prime factors are totally different. To be
a prime factor, factor must be a prime number, and any number which divide the
particular number is a factor of that number.

###
**Prime
Factorization**

Resolving a number into the product of its all prime
factors is called the

**prime factorization**. For example 12 = 2 × 2 × 3 is the prime factorization of 12. We can find prime factors of any number by division method or factor tree method.###
**Factor
Tree Method**

**Factor Tree**method for prime factorization of 12 is as follows:

And, similar procedure is applied for other numbers for
prime factorization by factor tree method.

###
**Division
Method**

**Division method**for prime factorization of 32 is as follows:

And, similar procedure is applied for other numbers for
prime factorization by division method.

###
*Workout
Examples*

*Workout Examples*

*Example 1: Factorize 180 by factor tree method.*

*Solution:*

*Here, factorizing 180 by factor tree method is as follows:*

*Example 2: Factorize 240 by division method.*

*Solution:*

*Here, factorizing 240 by division method is as follows:**You can comment your questions or problems regarding prime factors and factorization here.*

## 0 comments: