Observe the factors of 30, we provide you Positive factors of 30, we provide you Negative factors of 30, we calculate prime factors of 30.

Finding factors
of the numbers is actually something that we use quite a bit when we add
fractions together and when we subtract them when we multiply them will
constantly be meddling with these fractions and trying to use these factors to
make them simpler or change them.

A factor is a number that divides evenly into another number so literally, it's a number that divides evenly into another number.

All the
**Positive** and **Negative** Numbers that can divide into 30 The numbers that can
divide 30 without remainder are called 30.

## How to Calculate Factors of 30

Let’s find the
Factors of 30

**30 ÷ 1= 30**

**30 ÷ 2 = 15**

**30 ÷ 3 = 10**

**30 ÷ 5 = 6**

**30 ÷ 6 = 5**

**30 ÷ 10 = 3**

**30 ÷15 = 2**

**30 ÷ 30 = 1**

1,2,13 and 30
are the Positive factors of 30 whereas -1,-2,-13, and -30 are the Negative
Factors of 30.

## Factor Pairs of 30

When we
multiplied two factors and result will be 30 then we can say Factors pairs of 30.

**1 X 30 = 30**

**2 X 15 = 30**

**3 X 10 = 30**

**5 X 6 = 30**

**6 X 5 = 30**

**10 X 3 = 30**

**15 X 2 = 30**

**30 X 1 = 30**

When we put
minus in front of every factor we get Negative Factor pairs of 30.

**-1 X- 30 = 30**

**-2 X -1****5**** = 30**

**-3 X -10 = 30**

**-5 X - 6 = 30**

**-6 X -5 = 30**

**-10 X -3 = 30**

**-1****5**** X- 2 = 30**

**-30 X -1 = 30**

**Prime Factorization of 30= ****2 X 3 X 5**** = 30**

We need to find all the factors of 30. To do that, all
we have to do is write 30 as all possible products of two numbers. We can start
off with the number 1. 30 can be written as 1 multiplied by 30. This is the
simplest and the most obvious combination. One is always a factor of all
numbers. Then we move on to 2. Is 30 divisible by 2? Yes and the product can be
written as 2 multiplied by 15. Is 30 divisible by 3? Yes, the product can be
written as 3 multiplied by 10. Is 30 divisible by 4? No it isn't, so we cannot
write a product with 4 as one of the numbers. What about 5? Yes, 30 is
divisible by 5.

And the product can be written as 5 multiplied by 6.
Next number is 6 which is already covered here. And the numbers after 6 are
covered here. That's when we know that we have exhausted all possibilities.
These are the only four ways in which we can write 30 as a product of two
numbers. So we can say that these eight numbers individually are the factors of
30. The factors are 1, 2, 3, 5, 6, 10, 15 and 30. How can we define factors
then? Well, the factors of a number are basically exact divisors of that
number.