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).

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Factors and Multiples

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

Number System

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