**Factors of 12 are 1, 2, 3, 4, 6, 12**.

Here is complete detailed methods to find the factors of 12.

Actually, Factor is a number which divides any number completely without leaving remainder.

Or simply we can say that if we multiply two whole numbers (positive & negative) and it gives a product. Then the numbers that we multiply, are the factors of the product.

For example, if we multiply 3 to 4, it gives 12. Here 3 and 4 are called positive factors of 12 and if we multiply -2 to -6, it gives 12. So -2 and -6 are called negative factors of 12.

Table of Contents

## How to Find The Factors of 12 ?

Since factors of 12 are the numbers, which divides 12 completely without leaving remainder. So here we are going to divide 12 by all numbers up to 12. Let’s see the process –

We have to stop the process, if any number of column ‘B’ appears in column ‘A’ or when any element comes in both columns at same level and this element will consider as a factor.

Here we stop the division when 12 appears in column ‘A’, which has already been came in column ‘B’.

Hence, all the factor of 12 in above table are : 1, 2, 3, 4, 6, 12

Similarly, negative factor of 12 are : -1, -2, -3, -4, -6, -12

## What Are The Factors of 12 in Pairs ?

As we saw in above table, 3 multiply by 4 gives 12. So (3, 4) is a factor pair of 12. Let us see how many factor pairs can be achieved –

### Positive Factors of 12

1 x 12 = 12

2 x 6 = 12

3 x 4 = 12

4 x 3 = 12

6 x 2 = 12

12 x 1 = 12

### Negative Factors of 12

Similarly, negative factor pairs of 12 can be written as follows –

-1 x -12 = 12

-2 x -6 = 12

-3 x -4 = 12

-4 x -3 = 12

-6 x -2 = 12

-12 x -1 = 12

Hence, 12 has 6 factor pairs.

## What Are the Prime Factors of 12 ?

Since 12 is itself a prime number, hence it has only one prime factor i.e. 12. Here we will discuss, mainly two methods of factorization to find Prime Factors of any number.

- Division Method
- Factor Tree Method

### Prime Factors of 12 by Division Method

**Step 1 :** Divide the number by the smallest prime number, which divides the number exactly.**Step 2 :** Divide the quotient again by the smallest prime number. If quotient is not exactly divisible by the

smallest prime number, choose next smallest prime number.**Step 3 :** Repeat Step 2 again and again till the quotient becomes 1.**Step 4 :** All the prime numbers used in above process are the prime factors.

Check : Multiply all the prime factors, the multiplication should be the number itself.

Caution : In this method, only prime numbers will be use to divide.

**Steps to calculate prime factors of 12**

- First, divide 12 by least prime number i.e. 2. We got 6 as a quotient.
- Divide 6 by least prime number i.e. 2. We got 3 as a quotient.
- Divide 3 by least prime number i.e. 2. This time 3 didn’t divide completely. So try next prime number 3 to divide.
- We got 1 as quotient.

Here 12 = 2 x 2 x 3 = 2^{ 2} x 3

### Factor Tree of 12

**Step 1 :** Write a number as root of the tree**Step 2 :** Find the factors of the number, each factor will be considered as root again (now, we got 2 new root)**Step 3 :** Repeat step 2 until we can’t factor any more (or until we got prime factor)**Step 4 :** The end nodes are the prime factors.

We can initiate the tree by choosing any two factors. Here we choose 1 and 11 as factors of 11.

We got the same unique nodes in every tree.

The Factor Tree may be made so many types depends upon choosing the initial and middle factors.

## Number of Factors of 12

The **Number of Factors of 12 is **6. To find the number of factors, we use Division Method.

In our example, as we saw above 12 = 2^{ 2} x 3

**Number of factors is = (power + 1)(power + 1)(power + 1)………. **

Hence number of **factors of 1**2 is = (2 + 1)(1 + 1) = 3 x 2 = 6

and if we consider both positive and negative factors, then

total no. of factors = 6 (positive) + 6 (negative) = 12

I hope, this step-by-step tutorial will be helpful to understand factorization method of 12.

## FAQ

### What are the factors or divisors of the number 12?

The factors or divisors of the number 12 are 1, 2, 3, 4, 6, 12.

### What are the prime factors of the number 12?

The prime factors of the number 12 are 2 and 3.

### What is the total number of factors of the number 12?

The total number of factors of the number 12 is 6.

### What is the total number of prime factors of the number 12?

The total number of prime factors of the number 12 is 2.

### What is the sum of all factors of the number 12 including 12?

The sum of all the factors of the number 12 including 12 is 28 (i.e 1 + 2 + 3 + 4 + 6 +12 = 28)

### What is the sum of all factors of the number 12 excluding 12?

The sum of all the factors of the number 12 excluding 12 is 16 (i.e 1 + 2 + 3 + 4 + 6 = 16)

### What are the factor combinations of the number 12?

The factor combinations of the number 12 are (1, 12) , (2, 6) , (3, 4) , (4, 3) , (6, 2) & (12, 1).

### What is the prime factorization of the number 12?

The prime factorization of the number 12 are 2 & 3.

### What is the product of all factors of the number 12?

The product of all factors of number 12 is 1728 (i.e. 1 x 2 x 3 x 4 x 6 x 12 = 1728)

### What is the product of all prime factors of the number 12?

The product of all prime factors of number 12 is 6 (i.e. 2 x 3 = 6).

[…] Factors of 12: 1, 2, 3, 4, 6, 12 […]