factoring in algebra

A composite number is a number that can be written as  a product of two positive integers other than 1 and the number itself.and also a composite expression also  can be written as two more expression.

For example, x²+3x+2 can be written as a product of (x+1)(x+2)

Factor
To factor a number means to break it up into numbers that can be multiplied together to get the original number. 

EXAMPLES:

   6 = 3 x 2  so, factors of 6 are 3 and 2

   9 = 3 x 3  so, factors of 9 are 3 and 3

Sometimes, numbers can be factored into different combinations.

EXAMPLE,

   8 = 4 x 2 = 2 x 2 x 2

  18 = 9 x 2 = 6 x 3 = 3 x 2 x 3

OR

Mathematics . to express (a mathematical quantity) as a product of two or more quantities of like.

x ²  − y ² = ( x  + y  ) ( x − y  ).