# What are all the factors, the prime factorization, and factor pairs of 524000?

To find the factors of 524000, divide 524000 by each number starting with 1 and working up to 524000

## 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 524000 ?

To calculate the factors of 524000 , you can use the division method.

1. Begin by dividing 524000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 524000.

3. Continue dividing 524000 by larger numbers until you find an odd number that does not divide evenly into 524000 .

4. The numbers that divide evenly into 524000 are the factors of 524000 .

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

524000 ÷ 1 = 524000
524000 ÷ 2 = 262000
524000 ÷ 4 = 131000
524000 ÷ 5 = 104800
524000 ÷ 8 = 65500
524000 ÷ 10 = 52400
524000 ÷ 16 = 32750
524000 ÷ 20 = 26200
524000 ÷ 25 = 20960
524000 ÷ 32 = 16375
524000 ÷ 40 = 13100
524000 ÷ 50 = 10480
524000 ÷ 80 = 6550
524000 ÷ 100 = 5240
524000 ÷ 125 = 4192
524000 ÷ 131 = 4000
524000 ÷ 160 = 3275
524000 ÷ 200 = 2620
524000 ÷ 250 = 2096
524000 ÷ 262 = 2000
524000 ÷ 400 = 1310
524000 ÷ 500 = 1048
524000 ÷ 524 = 1000
524000 ÷ 655 = 800
524000 ÷ 800 = 655
524000 ÷ 1000 = 524
524000 ÷ 1048 = 500
524000 ÷ 1310 = 400
524000 ÷ 2000 = 262
524000 ÷ 2096 = 250
524000 ÷ 2620 = 200
524000 ÷ 3275 = 160
524000 ÷ 4000 = 131
524000 ÷ 4192 = 125
524000 ÷ 5240 = 100
524000 ÷ 6550 = 80
524000 ÷ 10480 = 50
524000 ÷ 13100 = 40
524000 ÷ 16375 = 32
524000 ÷ 20960 = 25
524000 ÷ 26200 = 20
524000 ÷ 32750 = 16
524000 ÷ 52400 = 10
524000 ÷ 65500 = 8
524000 ÷ 104800 = 5
524000 ÷ 131000 = 4
524000 ÷ 262000 = 2
524000 ÷ 524000 = 1

As you can see, the factors of 524000 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 80 , 100 , 125 , 131 , 160 , 200 , 250 , 262 , 400 , 500 , 524 , 655 , 800 , 1000 , 1048 , 1310 , 2000 , 2096 , 2620 , 3275 , 4000 , 4192 , 5240 , 6550 , 10480 , 13100 , 16375 , 20960 , 26200 , 32750 , 52400 , 65500 , 104800 , 131000 , 262000 and 524000 .

## How many factors of 524000 are there ?

The factors of 524000 are the numbers that can evenly divide 524000 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 80 , 100 , 125 , 131 , 160 , 200 , 250 , 262 , 400 , 500 , 524 , 655 , 800 , 1000 , 1048 , 1310 , 2000 , 2096 , 2620 , 3275 , 4000 , 4192 , 5240 , 6550 , 10480 , 13100 , 16375 , 20960 , 26200 , 32750 , 52400 , 65500 , 104800 , 131000 , 262000 and 524000.

Thus, there are a total of 48 factors of 524000

## What are the factor pairs of 524000 ?

Factor Pairs of 524000 are combinations of two factors that when multiplied together equal 524000. There are many ways to calculate the factor pairs of 524000 .

One easy way is to list out the factors of 524000 :
1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 80 , 100 , 125 , 131 , 160 , 200 , 250 , 262 , 400 , 500 , 524 , 655 , 800 , 1000 , 1048 , 1310 , 2000 , 2096 , 2620 , 3275 , 4000 , 4192 , 5240 , 6550 , 10480 , 13100 , 16375 , 20960 , 26200 , 32750 , 52400 , 65500 , 104800 , 131000 , 262000 , 524000

Then, pair up the factors:
(1,524000),(2,262000),(4,131000),(5,104800),(8,65500),(10,52400),(16,32750),(20,26200),(25,20960),(32,16375),(40,13100),(50,10480),(80,6550),(100,5240),(125,4192),(131,4000),(160,3275),(200,2620),(250,2096),(262,2000),(400,1310),(500,1048),(524,1000) and (655,800) These are the factor pairs of 524000 .

## Prime Factorisation of 524000

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 524000 using a factor tree, we would start by writing 524000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 524000 would be 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 131.

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 524000 using this method, we keep dividing until it gives a non-zero remainder.

524000 ÷ 2 = 262000
262000 ÷ 2 = 131000
131000 ÷ 2 = 65500
65500 ÷ 2 = 32750
32750 ÷ 2 = 16375
16375 ÷ 5 = 3275
3275 ÷ 5 = 655
655 ÷ 5 = 131
131 ÷ 131 = 1

So the prime factors of 524000 are 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 131.

## Frequently Asked Questions on Factors

### What are all the factors of 524000 ?

The factors of 524000 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 80 , 100 , 125 , 131 , 160 , 200 , 250 , 262 , 400 , 500 , 524 , 655 , 800 , 1000 , 1048 , 1310 , 2000 , 2096 , 2620 , 3275 , 4000 , 4192 , 5240 , 6550 , 10480 , 13100 , 16375 , 20960 , 26200 , 32750 , 52400 , 65500 , 104800 , 131000 , 262000 and 524000.

### What is the prime factorization of 524000 ?

The prime factorization of 524000 is 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 131 or 25 x 53 x 1311, where 2 , 5 , 131 are the prime numbers .

### What are the prime factors of 524000 ?

The prime factors of 524000 are 2 , 5 , 131 .

### Is 524000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
524000 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 80 , 100 , 125 , 131 , 160 , 200 , 250 , 262 , 400 , 500 , 524 , 655 , 800 , 1000 , 1048 , 1310 , 2000 , 2096 , 2620 , 3275 , 4000 , 4192 , 5240 , 6550 , 10480 , 13100 , 16375 , 20960 , 26200 , 32750 , 52400 , 65500 , 104800 , 131000 , 262000 and 524000.