This section includes explanations of what Factors Multiples are, prime numbers and composite numbers.
: Factors are the numbers that are multiplied to give a product.
Factors of 10 are 1,2,5,10 because 10 is exactly divisible by 1,2,5,10.
: 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.
: 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.
30 = 3 × 10, so 3 and 10 are factors of 30 and 30 is a multiple of 3 and 10.
Properties of Factors Multiples
Common Factors or 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.
: 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
• Prime and Composite Numbers
• Divisibility rules
• Prime Factorization
• H.C.F or G.C.F
• Application on LCM