# What are all the factors, the prime factorization, and factor pairs of 2736?

To find the factors of 2736, divide 2736 by each number starting with 1 and working up to 2736

## 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 2736 ?

To calculate the factors of 2736 , you can use the division method.

1. Begin by dividing 2736 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 2736.

3. Continue dividing 2736 by larger numbers until you find an odd number that does not divide evenly into 2736 .

4. The numbers that divide evenly into 2736 are the factors of 2736 .

Now let us find how to calculate all the factors of Two thousand seven hundred thirty-six :

2736 ÷ 1 = 2736
2736 ÷ 2 = 1368
2736 ÷ 3 = 912
2736 ÷ 4 = 684
2736 ÷ 6 = 456
2736 ÷ 8 = 342
2736 ÷ 9 = 304
2736 ÷ 12 = 228
2736 ÷ 16 = 171
2736 ÷ 18 = 152
2736 ÷ 19 = 144
2736 ÷ 24 = 114
2736 ÷ 36 = 76
2736 ÷ 38 = 72
2736 ÷ 48 = 57
2736 ÷ 57 = 48
2736 ÷ 72 = 38
2736 ÷ 76 = 36
2736 ÷ 114 = 24
2736 ÷ 144 = 19
2736 ÷ 152 = 18
2736 ÷ 171 = 16
2736 ÷ 228 = 12
2736 ÷ 304 = 9
2736 ÷ 342 = 8
2736 ÷ 456 = 6
2736 ÷ 684 = 4
2736 ÷ 912 = 3
2736 ÷ 1368 = 2
2736 ÷ 2736 = 1

As you can see, the factors of 2736 are 1 , 2 , 3 , 4 , 6 , 8 , 9 , 12 , 16 , 18 , 19 , 24 , 36 , 38 , 48 , 57 , 72 , 76 , 114 , 144 , 152 , 171 , 228 , 304 , 342 , 456 , 684 , 912 , 1368 and 2736 .

## How many factors of 2736 are there ?

The factors of 2736 are the numbers that can evenly divide 2736 . These numbers are 1 , 2 , 3 , 4 , 6 , 8 , 9 , 12 , 16 , 18 , 19 , 24 , 36 , 38 , 48 , 57 , 72 , 76 , 114 , 144 , 152 , 171 , 228 , 304 , 342 , 456 , 684 , 912 , 1368 and 2736.

Thus, there are a total of 30 factors of 2736

## What are the factor pairs of 2736 ?

Factor Pairs of 2736 are combinations of two factors that when multiplied together equal 2736. There are many ways to calculate the factor pairs of 2736 .

One easy way is to list out the factors of 2736 :
1 , 2 , 3 , 4 , 6 , 8 , 9 , 12 , 16 , 18 , 19 , 24 , 36 , 38 , 48 , 57 , 72 , 76 , 114 , 144 , 152 , 171 , 228 , 304 , 342 , 456 , 684 , 912 , 1368 , 2736

Then, pair up the factors:
(1,2736),(2,1368),(3,912),(4,684),(6,456),(8,342),(9,304),(12,228),(16,171),(18,152),(19,144),(24,114),(36,76),(38,72) and (48,57) These are the factor pairs of 2736 .

## Prime Factorisation of 2736

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 2736 using a factor tree, we would start by writing 2736 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 2736 would be 2 x 2 x 2 x 2 x 3 x 3 x 19.

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 2736 using this method, we keep dividing until it gives a non-zero remainder.

2736 ÷ 2 = 1368
1368 ÷ 2 = 684
684 ÷ 2 = 342
342 ÷ 2 = 171
171 ÷ 3 = 57
57 ÷ 3 = 19
19 ÷ 19 = 1

So the prime factors of 2736 are 2 x 2 x 2 x 2 x 3 x 3 x 19.

## Frequently Asked Questions on Factors

### What are all the factors of 2736 ?

The factors of 2736 are 1 , 2 , 3 , 4 , 6 , 8 , 9 , 12 , 16 , 18 , 19 , 24 , 36 , 38 , 48 , 57 , 72 , 76 , 114 , 144 , 152 , 171 , 228 , 304 , 342 , 456 , 684 , 912 , 1368 and 2736.

### What is the prime factorization of 2736 ?

The prime factorization of 2736 is 2 x 2 x 2 x 2 x 3 x 3 x 19 or 24 x 32 x 191, where 2 , 3 , 19 are the prime numbers .

### What are the prime factors of 2736 ?

The prime factors of 2736 are 2 , 3 , 19 .

### Is 2736 a prime number ?

A prime number is a number that has only two factors 1 and itself.
2736 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 6 , 8 , 9 , 12 , 16 , 18 , 19 , 24 , 36 , 38 , 48 , 57 , 72 , 76 , 114 , 144 , 152 , 171 , 228 , 304 , 342 , 456 , 684 , 912 , 1368 and 2736.