# What are all the factors, the prime factorization, and factor pairs of 2028?

To find the factors of 2028, divide 2028 by each number starting with 1 and working up to 2028

## What is a factor in math ?

Factors are the numbers you multiply together to get another number. For example, the factors of 15 are 3 and 5 because 3 × 5 = 15.

The factors of a number can be positive or negative, but they cannot be zero.

The factors of a number can be used to find out if the number is prime or not.

A prime number is a number that has only two factors: itself and 1. For example, the number 7 is prime because its only factors are 7 and 1.

## List all of the factors of 2028 ?

To calculate the factors of 2028 , you can use the division method.

1. Begin by dividing 2028 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 2028.

3. Continue dividing 2028 by larger numbers until you find an odd number that does not divide evenly into 2028 .

4. The numbers that divide evenly into 2028 are the factors of 2028 .

Now let us find how to calculate all the factors of Two thousand twenty-eight :

2028 ÷ 1 = 2028
2028 ÷ 2 = 1014
2028 ÷ 3 = 676
2028 ÷ 4 = 507
2028 ÷ 6 = 338
2028 ÷ 12 = 169
2028 ÷ 13 = 156
2028 ÷ 26 = 78
2028 ÷ 39 = 52
2028 ÷ 52 = 39
2028 ÷ 78 = 26
2028 ÷ 156 = 13
2028 ÷ 169 = 12
2028 ÷ 338 = 6
2028 ÷ 507 = 4
2028 ÷ 676 = 3
2028 ÷ 1014 = 2
2028 ÷ 2028 = 1

As you can see, the factors of 2028 are 1 , 2 , 3 , 4 , 6 , 12 , 13 , 26 , 39 , 52 , 78 , 156 , 169 , 338 , 507 , 676 , 1014 and 2028 .

## How many factors of 2028 are there ?

The factors of 2028 are the numbers that can evenly divide 2028 . These numbers are 1 , 2 , 3 , 4 , 6 , 12 , 13 , 26 , 39 , 52 , 78 , 156 , 169 , 338 , 507 , 676 , 1014 and 2028.

Thus, there are a total of 18 factors of 2028

## What are the factor pairs of 2028 ?

Factor Pairs of 2028 are combinations of two factors that when multiplied together equal 2028. There are many ways to calculate the factor pairs of 2028 .

One easy way is to list out the factors of 2028 :
1 , 2 , 3 , 4 , 6 , 12 , 13 , 26 , 39 , 52 , 78 , 156 , 169 , 338 , 507 , 676 , 1014 , 2028

Then, pair up the factors:
(1,2028),(2,1014),(3,676),(4,507),(6,338),(12,169),(13,156),(26,78) and (39,52) These are the factor pairs of 2028 .

## Prime Factorisation of 2028

There are a few different methods that can be used to calculate the prime factorization of a number. Two of the most common methods are listed below.

1) Use a factor tree :

1. Take the number you want to find the prime factorization of and write it at the top of the page

2. Find the smallest number that goes into the number you are finding the prime factorization of evenly and write it next to the number you are finding the prime factorization of

3. Draw a line under the number you just wrote and the number you are finding the prime factorization of

4. Repeat step 2 with the number you just wrote until that number can no longer be divided evenly

5. The numbers written on the lines will be the prime factors of the number you started with

For example, to calculate the prime factorization of 2028 using a factor tree, we would start by writing 2028 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 2028 would be 2 x 2 x 3 x 13 x 13.

2) Use a factorization method :

There are a few different factorization methods that can be used to calculate the prime factorization of a number.

One common method is to start by dividing the number by the smallest prime number that will divide evenly into it.

Then, continue dividing the number by successively larger prime numbers until the number has been fully factorised.

For example, to calculate the prime factorization of 2028 using this method, we keep dividing until it gives a non-zero remainder.

2028 ÷ 2 = 1014
1014 ÷ 2 = 507
507 ÷ 3 = 169
169 ÷ 13 = 13
13 ÷ 13 = 1

So the prime factors of 2028 are 2 x 2 x 3 x 13 x 13.

## Frequently Asked Questions on Factors

### What are all the factors of 2028 ?

The factors of 2028 are 1 , 2 , 3 , 4 , 6 , 12 , 13 , 26 , 39 , 52 , 78 , 156 , 169 , 338 , 507 , 676 , 1014 and 2028.

### What is the prime factorization of 2028 ?

The prime factorization of 2028 is 2 x 2 x 3 x 13 x 13 or 22 x 31 x 132, where 2 , 3 , 13 are the prime numbers .

### What are the prime factors of 2028 ?

The prime factors of 2028 are 2 , 3 , 13 .

### Is 2028 a prime number ?

A prime number is a number that has only two factors 1 and itself.
2028 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 6 , 12 , 13 , 26 , 39 , 52 , 78 , 156 , 169 , 338 , 507 , 676 , 1014 and 2028.