# What are all the factors, the prime factorization, and factor pairs of 49200?

To find the factors of 49200, divide 49200 by each number starting with 1 and working up to 49200

## 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 49200 ?

To calculate the factors of 49200 , you can use the division method.

1. Begin by dividing 49200 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 49200.

3. Continue dividing 49200 by larger numbers until you find an odd number that does not divide evenly into 49200 .

4. The numbers that divide evenly into 49200 are the factors of 49200 .

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

49200 ÷ 1 = 49200
49200 ÷ 2 = 24600
49200 ÷ 3 = 16400
49200 ÷ 4 = 12300
49200 ÷ 5 = 9840
49200 ÷ 6 = 8200
49200 ÷ 8 = 6150
49200 ÷ 10 = 4920
49200 ÷ 12 = 4100
49200 ÷ 15 = 3280
49200 ÷ 16 = 3075
49200 ÷ 20 = 2460
49200 ÷ 24 = 2050
49200 ÷ 25 = 1968
49200 ÷ 30 = 1640
49200 ÷ 40 = 1230
49200 ÷ 41 = 1200
49200 ÷ 48 = 1025
49200 ÷ 50 = 984
49200 ÷ 60 = 820
49200 ÷ 75 = 656
49200 ÷ 80 = 615
49200 ÷ 82 = 600
49200 ÷ 100 = 492
49200 ÷ 120 = 410
49200 ÷ 123 = 400
49200 ÷ 150 = 328
49200 ÷ 164 = 300
49200 ÷ 200 = 246
49200 ÷ 205 = 240
49200 ÷ 240 = 205
49200 ÷ 246 = 200
49200 ÷ 300 = 164
49200 ÷ 328 = 150
49200 ÷ 400 = 123
49200 ÷ 410 = 120
49200 ÷ 492 = 100
49200 ÷ 600 = 82
49200 ÷ 615 = 80
49200 ÷ 656 = 75
49200 ÷ 820 = 60
49200 ÷ 984 = 50
49200 ÷ 1025 = 48
49200 ÷ 1200 = 41
49200 ÷ 1230 = 40
49200 ÷ 1640 = 30
49200 ÷ 1968 = 25
49200 ÷ 2050 = 24
49200 ÷ 2460 = 20
49200 ÷ 3075 = 16
49200 ÷ 3280 = 15
49200 ÷ 4100 = 12
49200 ÷ 4920 = 10
49200 ÷ 6150 = 8
49200 ÷ 8200 = 6
49200 ÷ 9840 = 5
49200 ÷ 12300 = 4
49200 ÷ 16400 = 3
49200 ÷ 24600 = 2
49200 ÷ 49200 = 1

As you can see, the factors of 49200 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 25 , 30 , 40 , 41 , 48 , 50 , 60 , 75 , 80 , 82 , 100 , 120 , 123 , 150 , 164 , 200 , 205 , 240 , 246 , 300 , 328 , 400 , 410 , 492 , 600 , 615 , 656 , 820 , 984 , 1025 , 1200 , 1230 , 1640 , 1968 , 2050 , 2460 , 3075 , 3280 , 4100 , 4920 , 6150 , 8200 , 9840 , 12300 , 16400 , 24600 and 49200 .

## How many factors of 49200 are there ?

The factors of 49200 are the numbers that can evenly divide 49200 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 25 , 30 , 40 , 41 , 48 , 50 , 60 , 75 , 80 , 82 , 100 , 120 , 123 , 150 , 164 , 200 , 205 , 240 , 246 , 300 , 328 , 400 , 410 , 492 , 600 , 615 , 656 , 820 , 984 , 1025 , 1200 , 1230 , 1640 , 1968 , 2050 , 2460 , 3075 , 3280 , 4100 , 4920 , 6150 , 8200 , 9840 , 12300 , 16400 , 24600 and 49200.

Thus, there are a total of 60 factors of 49200

## What are the factor pairs of 49200 ?

Factor Pairs of 49200 are combinations of two factors that when multiplied together equal 49200. There are many ways to calculate the factor pairs of 49200 .

One easy way is to list out the factors of 49200 :
1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 25 , 30 , 40 , 41 , 48 , 50 , 60 , 75 , 80 , 82 , 100 , 120 , 123 , 150 , 164 , 200 , 205 , 240 , 246 , 300 , 328 , 400 , 410 , 492 , 600 , 615 , 656 , 820 , 984 , 1025 , 1200 , 1230 , 1640 , 1968 , 2050 , 2460 , 3075 , 3280 , 4100 , 4920 , 6150 , 8200 , 9840 , 12300 , 16400 , 24600 , 49200

Then, pair up the factors:
(1,49200),(2,24600),(3,16400),(4,12300),(5,9840),(6,8200),(8,6150),(10,4920),(12,4100),(15,3280),(16,3075),(20,2460),(24,2050),(25,1968),(30,1640),(40,1230),(41,1200),(48,1025),(50,984),(60,820),(75,656),(80,615),(82,600),(100,492),(120,410),(123,400),(150,328),(164,300),(200,246) and (205,240) These are the factor pairs of 49200 .

## Prime Factorisation of 49200

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 49200 using a factor tree, we would start by writing 49200 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 49200 would be 2 x 2 x 2 x 2 x 3 x 5 x 5 x 41.

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 49200 using this method, we keep dividing until it gives a non-zero remainder.

49200 ÷ 2 = 24600
24600 ÷ 2 = 12300
12300 ÷ 2 = 6150
6150 ÷ 2 = 3075
3075 ÷ 3 = 1025
1025 ÷ 5 = 205
205 ÷ 5 = 41
41 ÷ 41 = 1

So the prime factors of 49200 are 2 x 2 x 2 x 2 x 3 x 5 x 5 x 41.

## Frequently Asked Questions on Factors

### What are all the factors of 49200 ?

The factors of 49200 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 25 , 30 , 40 , 41 , 48 , 50 , 60 , 75 , 80 , 82 , 100 , 120 , 123 , 150 , 164 , 200 , 205 , 240 , 246 , 300 , 328 , 400 , 410 , 492 , 600 , 615 , 656 , 820 , 984 , 1025 , 1200 , 1230 , 1640 , 1968 , 2050 , 2460 , 3075 , 3280 , 4100 , 4920 , 6150 , 8200 , 9840 , 12300 , 16400 , 24600 and 49200.

### What is the prime factorization of 49200 ?

The prime factorization of 49200 is 2 x 2 x 2 x 2 x 3 x 5 x 5 x 41 or 24 x 31 x 52 x 411, where 2 , 3 , 5 , 41 are the prime numbers .

### What are the prime factors of 49200 ?

The prime factors of 49200 are 2 , 3 , 5 , 41 .

### Is 49200 a prime number ?

A prime number is a number that has only two factors 1 and itself.
49200 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 25 , 30 , 40 , 41 , 48 , 50 , 60 , 75 , 80 , 82 , 100 , 120 , 123 , 150 , 164 , 200 , 205 , 240 , 246 , 300 , 328 , 400 , 410 , 492 , 600 , 615 , 656 , 820 , 984 , 1025 , 1200 , 1230 , 1640 , 1968 , 2050 , 2460 , 3075 , 3280 , 4100 , 4920 , 6150 , 8200 , 9840 , 12300 , 16400 , 24600 and 49200.