# Grade 5, Maths Olympiad (CBSE) - Factors

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Grade 5 | Maths | Factors, Factors and Multiples, Olympiad, CBSE, ICSE, SOF, ITO

**Factors**

Factors of a number are the numbers which divide the number completely without leaving a remainder. A number can have multiple factors.

**E.g.**

Factors of 12=3 X 4, 1 X 12, 2 X 6, 2 X 2 X 3

**Prime factors:** If factors of a number are prime numbers then they are called prime factors.

**E.g.**

Prime factors of 12=1 X 2 X 2 X 3

**Common factors: **Factor common between two numbers are called common factors.

**E.g. **

9=**1** X **3** X **3**

6=**1** X 2 X **3**

1 and 3 are common between the two numbers thus they are common factors between the two numbers.

**H.C.F.** of two numbers is the greatest common factor which divides the two numbers completely. It is also known as G.C.F or greatest common factor.

**E.g.**

12=**1** X **2** X 2 X **3 , 2 X 6**

18=**1** X **2** X 3 X **3 , 3 X 6**

Common factors between 12 and 18 are 1, 2, 3 and 6. **6** is the **greatest** among all factors so **6 is the H.C.F. of 12 and 18**.

**Co-prime:** If two numbers have only 1 as the common factor they are known as co-prime numbers. E.g. 3 and 5.

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