# What are all the factors, the prime factorization, and factor pairs of 2720?

To find the factors of 2720, divide 2720 by each number starting with 1 and working up to 2720

## 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 2720 ?

To calculate the factors of 2720 , you can use the division method.

1. Begin by dividing 2720 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 2720.

3. Continue dividing 2720 by larger numbers until you find an odd number that does not divide evenly into 2720 .

4. The numbers that divide evenly into 2720 are the factors of 2720 .

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

2720 ÷ 1 = 2720
2720 ÷ 2 = 1360
2720 ÷ 4 = 680
2720 ÷ 5 = 544
2720 ÷ 8 = 340
2720 ÷ 10 = 272
2720 ÷ 16 = 170
2720 ÷ 17 = 160
2720 ÷ 20 = 136
2720 ÷ 32 = 85
2720 ÷ 34 = 80
2720 ÷ 40 = 68
2720 ÷ 68 = 40
2720 ÷ 80 = 34
2720 ÷ 85 = 32
2720 ÷ 136 = 20
2720 ÷ 160 = 17
2720 ÷ 170 = 16
2720 ÷ 272 = 10
2720 ÷ 340 = 8
2720 ÷ 544 = 5
2720 ÷ 680 = 4
2720 ÷ 1360 = 2
2720 ÷ 2720 = 1

As you can see, the factors of 2720 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 17 , 20 , 32 , 34 , 40 , 68 , 80 , 85 , 136 , 160 , 170 , 272 , 340 , 544 , 680 , 1360 and 2720 .

## How many factors of 2720 are there ?

The factors of 2720 are the numbers that can evenly divide 2720 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 17 , 20 , 32 , 34 , 40 , 68 , 80 , 85 , 136 , 160 , 170 , 272 , 340 , 544 , 680 , 1360 and 2720.

Thus, there are a total of 24 factors of 2720

## What are the factor pairs of 2720 ?

Factor Pairs of 2720 are combinations of two factors that when multiplied together equal 2720. There are many ways to calculate the factor pairs of 2720 .

One easy way is to list out the factors of 2720 :
1 , 2 , 4 , 5 , 8 , 10 , 16 , 17 , 20 , 32 , 34 , 40 , 68 , 80 , 85 , 136 , 160 , 170 , 272 , 340 , 544 , 680 , 1360 , 2720

Then, pair up the factors:
(1,2720),(2,1360),(4,680),(5,544),(8,340),(10,272),(16,170),(17,160),(20,136),(32,85),(34,80) and (40,68) These are the factor pairs of 2720 .

## Prime Factorisation of 2720

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 2720 using a factor tree, we would start by writing 2720 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 2720 would be 2 x 2 x 2 x 2 x 2 x 5 x 17.

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 2720 using this method, we keep dividing until it gives a non-zero remainder.

2720 ÷ 2 = 1360
1360 ÷ 2 = 680
680 ÷ 2 = 340
340 ÷ 2 = 170
170 ÷ 2 = 85
85 ÷ 5 = 17
17 ÷ 17 = 1

So the prime factors of 2720 are 2 x 2 x 2 x 2 x 2 x 5 x 17.

## Frequently Asked Questions on Factors

### What are all the factors of 2720 ?

The factors of 2720 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 17 , 20 , 32 , 34 , 40 , 68 , 80 , 85 , 136 , 160 , 170 , 272 , 340 , 544 , 680 , 1360 and 2720.

### What is the prime factorization of 2720 ?

The prime factorization of 2720 is 2 x 2 x 2 x 2 x 2 x 5 x 17 or 25 x 51 x 171, where 2 , 5 , 17 are the prime numbers .

### What are the prime factors of 2720 ?

The prime factors of 2720 are 2 , 5 , 17 .

### Is 2720 a prime number ?

A prime number is a number that has only two factors 1 and itself.
2720 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 8 , 10 , 16 , 17 , 20 , 32 , 34 , 40 , 68 , 80 , 85 , 136 , 160 , 170 , 272 , 340 , 544 , 680 , 1360 and 2720.