LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

METHOD OF FINDING FACTORS

**METHOD OF FINDING FACTORS :-**

**1. DIVISION METHOD :-**

**[Here we find the factors by finding the numbers with which they are exactly
divisible by using rules of divisibility.]**

**Example 1: Find all the factors of 30.**

**Ans.)**

**[The divisors and quotients are underlined, these are the factors.]**

**∴ The factors
of 30 are 1, 2, 3, 5, 6, 10, 15, 30.**

**[Arrange the factors in ascending
order - small to big]**

**2. MULTIPLICATION METHOD :-**

**[Here we find the numbers which when multiplied
will give 24. [Use rules of divisibility.]**

**Example 2: Find all the factors of 24.**

**Ans.)**

**∴ The
factors of 24
are 1, 2, 3, 4, 6, 8, 12, 24.**

**[Arrange the factors in ascending order - small to big]**

**3. PRIME FACTORIZATION METHOD :-**

**· In
this method, we divide the number with its Smallest Prime Factor.**

**· Keep on dividing till we get one as a quotient.**

**· We must use PRIME NUMBERS ONLY.**

**Example: Write the prime factorization of 210.**

**Ans.)**

**So, 210 = 2 x 3 x 5 x 7 x 1**

**The factors of 210 is 1, 2, 3, 5, 7.**

**[Arrange the factors in ascending order - small to big]**