# What are all the factors, the prime factorization, and factor pairs of 48800?

To find the factors of 48800, divide 48800 by each number starting with 1 and working up to 48800

## 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 48800 ?

To calculate the factors of 48800 , you can use the division method.

1. Begin by dividing 48800 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 48800.

3. Continue dividing 48800 by larger numbers until you find an odd number that does not divide evenly into 48800 .

4. The numbers that divide evenly into 48800 are the factors of 48800 .

Now let us find how to calculate all the factors of Forty-eight thousand eight hundred :

48800 ÷ 1 = 48800
48800 ÷ 2 = 24400
48800 ÷ 4 = 12200
48800 ÷ 5 = 9760
48800 ÷ 8 = 6100
48800 ÷ 10 = 4880
48800 ÷ 16 = 3050
48800 ÷ 20 = 2440
48800 ÷ 25 = 1952
48800 ÷ 32 = 1525
48800 ÷ 40 = 1220
48800 ÷ 50 = 976
48800 ÷ 61 = 800
48800 ÷ 80 = 610
48800 ÷ 100 = 488
48800 ÷ 122 = 400
48800 ÷ 160 = 305
48800 ÷ 200 = 244
48800 ÷ 244 = 200
48800 ÷ 305 = 160
48800 ÷ 400 = 122
48800 ÷ 488 = 100
48800 ÷ 610 = 80
48800 ÷ 800 = 61
48800 ÷ 976 = 50
48800 ÷ 1220 = 40
48800 ÷ 1525 = 32
48800 ÷ 1952 = 25
48800 ÷ 2440 = 20
48800 ÷ 3050 = 16
48800 ÷ 4880 = 10
48800 ÷ 6100 = 8
48800 ÷ 9760 = 5
48800 ÷ 12200 = 4
48800 ÷ 24400 = 2
48800 ÷ 48800 = 1

As you can see, the factors of 48800 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 61 , 80 , 100 , 122 , 160 , 200 , 244 , 305 , 400 , 488 , 610 , 800 , 976 , 1220 , 1525 , 1952 , 2440 , 3050 , 4880 , 6100 , 9760 , 12200 , 24400 and 48800 .

## How many factors of 48800 are there ?

The factors of 48800 are the numbers that can evenly divide 48800 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 61 , 80 , 100 , 122 , 160 , 200 , 244 , 305 , 400 , 488 , 610 , 800 , 976 , 1220 , 1525 , 1952 , 2440 , 3050 , 4880 , 6100 , 9760 , 12200 , 24400 and 48800.

Thus, there are a total of 36 factors of 48800

## What are the factor pairs of 48800 ?

Factor Pairs of 48800 are combinations of two factors that when multiplied together equal 48800. There are many ways to calculate the factor pairs of 48800 .

One easy way is to list out the factors of 48800 :
1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 61 , 80 , 100 , 122 , 160 , 200 , 244 , 305 , 400 , 488 , 610 , 800 , 976 , 1220 , 1525 , 1952 , 2440 , 3050 , 4880 , 6100 , 9760 , 12200 , 24400 , 48800

Then, pair up the factors:
(1,48800),(2,24400),(4,12200),(5,9760),(8,6100),(10,4880),(16,3050),(20,2440),(25,1952),(32,1525),(40,1220),(50,976),(61,800),(80,610),(100,488),(122,400),(160,305) and (200,244) These are the factor pairs of 48800 .

## Prime Factorisation of 48800

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 48800 using a factor tree, we would start by writing 48800 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 48800 would be 2 x 2 x 2 x 2 x 2 x 5 x 5 x 61.

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 48800 using this method, we keep dividing until it gives a non-zero remainder.

48800 ÷ 2 = 24400
24400 ÷ 2 = 12200
12200 ÷ 2 = 6100
6100 ÷ 2 = 3050
3050 ÷ 2 = 1525
1525 ÷ 5 = 305
305 ÷ 5 = 61
61 ÷ 61 = 1

So the prime factors of 48800 are 2 x 2 x 2 x 2 x 2 x 5 x 5 x 61.

## Frequently Asked Questions on Factors

### What are all the factors of 48800 ?

The factors of 48800 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 61 , 80 , 100 , 122 , 160 , 200 , 244 , 305 , 400 , 488 , 610 , 800 , 976 , 1220 , 1525 , 1952 , 2440 , 3050 , 4880 , 6100 , 9760 , 12200 , 24400 and 48800.

### What is the prime factorization of 48800 ?

The prime factorization of 48800 is 2 x 2 x 2 x 2 x 2 x 5 x 5 x 61 or 25 x 52 x 611, where 2 , 5 , 61 are the prime numbers .

### What are the prime factors of 48800 ?

The prime factors of 48800 are 2 , 5 , 61 .

### Is 48800 a prime number ?

A prime number is a number that has only two factors 1 and itself.
48800 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 61 , 80 , 100 , 122 , 160 , 200 , 244 , 305 , 400 , 488 , 610 , 800 , 976 , 1220 , 1525 , 1952 , 2440 , 3050 , 4880 , 6100 , 9760 , 12200 , 24400 and 48800.