# What are all the factors, the prime factorization, and factor pairs of 484000?

To find the factors of 484000, divide 484000 by each number starting with 1 and working up to 484000

## 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 484000 ?

To calculate the factors of 484000 , you can use the division method.

1. Begin by dividing 484000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 484000.

3. Continue dividing 484000 by larger numbers until you find an odd number that does not divide evenly into 484000 .

4. The numbers that divide evenly into 484000 are the factors of 484000 .

Now let us find how to calculate all the factors of Four hundred eighty-four thousand :

484000 ÷ 1 = 484000
484000 ÷ 2 = 242000
484000 ÷ 4 = 121000
484000 ÷ 5 = 96800
484000 ÷ 8 = 60500
484000 ÷ 10 = 48400
484000 ÷ 11 = 44000
484000 ÷ 16 = 30250
484000 ÷ 20 = 24200
484000 ÷ 22 = 22000
484000 ÷ 25 = 19360
484000 ÷ 32 = 15125
484000 ÷ 40 = 12100
484000 ÷ 44 = 11000
484000 ÷ 50 = 9680
484000 ÷ 55 = 8800
484000 ÷ 80 = 6050
484000 ÷ 88 = 5500
484000 ÷ 100 = 4840
484000 ÷ 110 = 4400
484000 ÷ 121 = 4000
484000 ÷ 125 = 3872
484000 ÷ 160 = 3025
484000 ÷ 176 = 2750
484000 ÷ 200 = 2420
484000 ÷ 220 = 2200
484000 ÷ 242 = 2000
484000 ÷ 250 = 1936
484000 ÷ 275 = 1760
484000 ÷ 352 = 1375
484000 ÷ 400 = 1210
484000 ÷ 440 = 1100
484000 ÷ 484 = 1000
484000 ÷ 500 = 968
484000 ÷ 550 = 880
484000 ÷ 605 = 800
484000 ÷ 800 = 605
484000 ÷ 880 = 550
484000 ÷ 968 = 500
484000 ÷ 1000 = 484
484000 ÷ 1100 = 440
484000 ÷ 1210 = 400
484000 ÷ 1375 = 352
484000 ÷ 1760 = 275
484000 ÷ 1936 = 250
484000 ÷ 2000 = 242
484000 ÷ 2200 = 220
484000 ÷ 2420 = 200
484000 ÷ 2750 = 176
484000 ÷ 3025 = 160
484000 ÷ 3872 = 125
484000 ÷ 4000 = 121
484000 ÷ 4400 = 110
484000 ÷ 4840 = 100
484000 ÷ 5500 = 88
484000 ÷ 6050 = 80
484000 ÷ 8800 = 55
484000 ÷ 9680 = 50
484000 ÷ 11000 = 44
484000 ÷ 12100 = 40
484000 ÷ 15125 = 32
484000 ÷ 19360 = 25
484000 ÷ 22000 = 22
484000 ÷ 24200 = 20
484000 ÷ 30250 = 16
484000 ÷ 44000 = 11
484000 ÷ 48400 = 10
484000 ÷ 60500 = 8
484000 ÷ 96800 = 5
484000 ÷ 121000 = 4
484000 ÷ 242000 = 2
484000 ÷ 484000 = 1

As you can see, the factors of 484000 are 1 , 2 , 4 , 5 , 8 , 10 , 11 , 16 , 20 , 22 , 25 , 32 , 40 , 44 , 50 , 55 , 80 , 88 , 100 , 110 , 121 , 125 , 160 , 176 , 200 , 220 , 242 , 250 , 275 , 352 , 400 , 440 , 484 , 500 , 550 , 605 , 800 , 880 , 968 , 1000 , 1100 , 1210 , 1375 , 1760 , 1936 , 2000 , 2200 , 2420 , 2750 , 3025 , 3872 , 4000 , 4400 , 4840 , 5500 , 6050 , 8800 , 9680 , 11000 , 12100 , 15125 , 19360 , 22000 , 24200 , 30250 , 44000 , 48400 , 60500 , 96800 , 121000 , 242000 and 484000 .

## How many factors of 484000 are there ?

The factors of 484000 are the numbers that can evenly divide 484000 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 11 , 16 , 20 , 22 , 25 , 32 , 40 , 44 , 50 , 55 , 80 , 88 , 100 , 110 , 121 , 125 , 160 , 176 , 200 , 220 , 242 , 250 , 275 , 352 , 400 , 440 , 484 , 500 , 550 , 605 , 800 , 880 , 968 , 1000 , 1100 , 1210 , 1375 , 1760 , 1936 , 2000 , 2200 , 2420 , 2750 , 3025 , 3872 , 4000 , 4400 , 4840 , 5500 , 6050 , 8800 , 9680 , 11000 , 12100 , 15125 , 19360 , 22000 , 24200 , 30250 , 44000 , 48400 , 60500 , 96800 , 121000 , 242000 and 484000.

Thus, there are a total of 72 factors of 484000

## What are the factor pairs of 484000 ?

Factor Pairs of 484000 are combinations of two factors that when multiplied together equal 484000. There are many ways to calculate the factor pairs of 484000 .

One easy way is to list out the factors of 484000 :
1 , 2 , 4 , 5 , 8 , 10 , 11 , 16 , 20 , 22 , 25 , 32 , 40 , 44 , 50 , 55 , 80 , 88 , 100 , 110 , 121 , 125 , 160 , 176 , 200 , 220 , 242 , 250 , 275 , 352 , 400 , 440 , 484 , 500 , 550 , 605 , 800 , 880 , 968 , 1000 , 1100 , 1210 , 1375 , 1760 , 1936 , 2000 , 2200 , 2420 , 2750 , 3025 , 3872 , 4000 , 4400 , 4840 , 5500 , 6050 , 8800 , 9680 , 11000 , 12100 , 15125 , 19360 , 22000 , 24200 , 30250 , 44000 , 48400 , 60500 , 96800 , 121000 , 242000 , 484000

Then, pair up the factors:
(1,484000),(2,242000),(4,121000),(5,96800),(8,60500),(10,48400),(11,44000),(16,30250),(20,24200),(22,22000),(25,19360),(32,15125),(40,12100),(44,11000),(50,9680),(55,8800),(80,6050),(88,5500),(100,4840),(110,4400),(121,4000),(125,3872),(160,3025),(176,2750),(200,2420),(220,2200),(242,2000),(250,1936),(275,1760),(352,1375),(400,1210),(440,1100),(484,1000),(500,968),(550,880) and (605,800) These are the factor pairs of 484000 .

## Prime Factorisation of 484000

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 484000 using a factor tree, we would start by writing 484000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 484000 would be 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 11 x 11.

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 484000 using this method, we keep dividing until it gives a non-zero remainder.

484000 ÷ 2 = 242000
242000 ÷ 2 = 121000
121000 ÷ 2 = 60500
60500 ÷ 2 = 30250
30250 ÷ 2 = 15125
15125 ÷ 5 = 3025
3025 ÷ 5 = 605
605 ÷ 5 = 121
121 ÷ 11 = 11
11 ÷ 11 = 1

So the prime factors of 484000 are 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 11 x 11.

## Frequently Asked Questions on Factors

### What are all the factors of 484000 ?

The factors of 484000 are 1 , 2 , 4 , 5 , 8 , 10 , 11 , 16 , 20 , 22 , 25 , 32 , 40 , 44 , 50 , 55 , 80 , 88 , 100 , 110 , 121 , 125 , 160 , 176 , 200 , 220 , 242 , 250 , 275 , 352 , 400 , 440 , 484 , 500 , 550 , 605 , 800 , 880 , 968 , 1000 , 1100 , 1210 , 1375 , 1760 , 1936 , 2000 , 2200 , 2420 , 2750 , 3025 , 3872 , 4000 , 4400 , 4840 , 5500 , 6050 , 8800 , 9680 , 11000 , 12100 , 15125 , 19360 , 22000 , 24200 , 30250 , 44000 , 48400 , 60500 , 96800 , 121000 , 242000 and 484000.

### What is the prime factorization of 484000 ?

The prime factorization of 484000 is 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 11 x 11 or 25 x 53 x 112, where 2 , 5 , 11 are the prime numbers .

### What are the prime factors of 484000 ?

The prime factors of 484000 are 2 , 5 , 11 .

### Is 484000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
484000 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 8 , 10 , 11 , 16 , 20 , 22 , 25 , 32 , 40 , 44 , 50 , 55 , 80 , 88 , 100 , 110 , 121 , 125 , 160 , 176 , 200 , 220 , 242 , 250 , 275 , 352 , 400 , 440 , 484 , 500 , 550 , 605 , 800 , 880 , 968 , 1000 , 1100 , 1210 , 1375 , 1760 , 1936 , 2000 , 2200 , 2420 , 2750 , 3025 , 3872 , 4000 , 4400 , 4840 , 5500 , 6050 , 8800 , 9680 , 11000 , 12100 , 15125 , 19360 , 22000 , 24200 , 30250 , 44000 , 48400 , 60500 , 96800 , 121000 , 242000 and 484000.