# Factors Multiples

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**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

• L.C.M

• Application on LCM

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