Factoring Expressions
Factoring Expressions

Factors  Multiples 

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This section includes explanations of what Factors Multiples are, prime numbers and composite numbers.

Factors : Factors are the numbers that are multiplied to give a product.

Example : Factors of 10 are 1,2,5,10 because 10 is exactly divisible by 1,2,5,10.

Multiples: They are the products you get when you multiply a number by 1,2,3,4 and so on.

In short we can say that, Multiples are nothing but the table of a given number.

Example : The first 5 multiples of 6 are the table of 6 upto 5.

= 6, 12, 18, 24, 30.

If a is divisible by b, then b is a factor of a, and a is a multiple of b.

Example : 30 = 3 × 10, so 3 and 10 are factors of 30 and 30 is a multiple of 3 and 10.

Properties of Factors Multiples
Property 1 1 is a factor of every number. Example : 34 = 1 x 34
Property 2 Every number is a factor of itself. Example : 18 = 18 x 1
Property 3 Every factor of a number is an exact divisor of that number.
Factors of 6 are 1,2,3,6. Each factors divides 12.
Property 4 Every factor of a number is less than or equal to the number.
Property 5 Factors of a given number are finite.
Example factors of 6 are 1,2,3 and 6 only.
Property 6 Every multiple of a number is greater than or equal to that number.
Example: Multiple of 5 = 5,10,15,20,…
Property 7 Every number is a multiple of itself.
Property 8 The number of multiples of a given number is infinite.

Common Factors or Multiples : Those factors or multiples which are common among the factors (or multiples) of two or more numbers are known as common factors (or multiples).

Factors and Multiples

Factors Multiples
Prime and Composite Numbers
Divisibility rules
Prime Factorization
H.C.F or G.C.F
Application on LCM

Number System