# What are all the factors, the prime factorization, and factor pairs of 736000?

To find the factors of 736000, divide 736000 by each number starting with 1 and working up to 736000

## 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 736000 ?

To calculate the factors of 736000 , you can use the division method.

1. Begin by dividing 736000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 736000.

3. Continue dividing 736000 by larger numbers until you find an odd number that does not divide evenly into 736000 .

4. The numbers that divide evenly into 736000 are the factors of 736000 .

Now let us find how to calculate all the factors of Seven hundred thirty-six thousand :

736000 ÷ 1 = 736000
736000 ÷ 2 = 368000
736000 ÷ 4 = 184000
736000 ÷ 5 = 147200
736000 ÷ 8 = 92000
736000 ÷ 10 = 73600
736000 ÷ 16 = 46000
736000 ÷ 20 = 36800
736000 ÷ 23 = 32000
736000 ÷ 25 = 29440
736000 ÷ 32 = 23000
736000 ÷ 40 = 18400
736000 ÷ 46 = 16000
736000 ÷ 50 = 14720
736000 ÷ 64 = 11500
736000 ÷ 80 = 9200
736000 ÷ 92 = 8000
736000 ÷ 100 = 7360
736000 ÷ 115 = 6400
736000 ÷ 125 = 5888
736000 ÷ 128 = 5750
736000 ÷ 160 = 4600
736000 ÷ 184 = 4000
736000 ÷ 200 = 3680
736000 ÷ 230 = 3200
736000 ÷ 250 = 2944
736000 ÷ 256 = 2875
736000 ÷ 320 = 2300
736000 ÷ 368 = 2000
736000 ÷ 400 = 1840
736000 ÷ 460 = 1600
736000 ÷ 500 = 1472
736000 ÷ 575 = 1280
736000 ÷ 640 = 1150
736000 ÷ 736 = 1000
736000 ÷ 800 = 920
736000 ÷ 920 = 800
736000 ÷ 1000 = 736
736000 ÷ 1150 = 640
736000 ÷ 1280 = 575
736000 ÷ 1472 = 500
736000 ÷ 1600 = 460
736000 ÷ 1840 = 400
736000 ÷ 2000 = 368
736000 ÷ 2300 = 320
736000 ÷ 2875 = 256
736000 ÷ 2944 = 250
736000 ÷ 3200 = 230
736000 ÷ 3680 = 200
736000 ÷ 4000 = 184
736000 ÷ 4600 = 160
736000 ÷ 5750 = 128
736000 ÷ 5888 = 125
736000 ÷ 6400 = 115
736000 ÷ 7360 = 100
736000 ÷ 8000 = 92
736000 ÷ 9200 = 80
736000 ÷ 11500 = 64
736000 ÷ 14720 = 50
736000 ÷ 16000 = 46
736000 ÷ 18400 = 40
736000 ÷ 23000 = 32
736000 ÷ 29440 = 25
736000 ÷ 32000 = 23
736000 ÷ 36800 = 20
736000 ÷ 46000 = 16
736000 ÷ 73600 = 10
736000 ÷ 92000 = 8
736000 ÷ 147200 = 5
736000 ÷ 184000 = 4
736000 ÷ 368000 = 2
736000 ÷ 736000 = 1

As you can see, the factors of 736000 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 23 , 25 , 32 , 40 , 46 , 50 , 64 , 80 , 92 , 100 , 115 , 125 , 128 , 160 , 184 , 200 , 230 , 250 , 256 , 320 , 368 , 400 , 460 , 500 , 575 , 640 , 736 , 800 , 920 , 1000 , 1150 , 1280 , 1472 , 1600 , 1840 , 2000 , 2300 , 2875 , 2944 , 3200 , 3680 , 4000 , 4600 , 5750 , 5888 , 6400 , 7360 , 8000 , 9200 , 11500 , 14720 , 16000 , 18400 , 23000 , 29440 , 32000 , 36800 , 46000 , 73600 , 92000 , 147200 , 184000 , 368000 and 736000 .

## How many factors of 736000 are there ?

The factors of 736000 are the numbers that can evenly divide 736000 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 23 , 25 , 32 , 40 , 46 , 50 , 64 , 80 , 92 , 100 , 115 , 125 , 128 , 160 , 184 , 200 , 230 , 250 , 256 , 320 , 368 , 400 , 460 , 500 , 575 , 640 , 736 , 800 , 920 , 1000 , 1150 , 1280 , 1472 , 1600 , 1840 , 2000 , 2300 , 2875 , 2944 , 3200 , 3680 , 4000 , 4600 , 5750 , 5888 , 6400 , 7360 , 8000 , 9200 , 11500 , 14720 , 16000 , 18400 , 23000 , 29440 , 32000 , 36800 , 46000 , 73600 , 92000 , 147200 , 184000 , 368000 and 736000.

Thus, there are a total of 72 factors of 736000

## What are the factor pairs of 736000 ?

Factor Pairs of 736000 are combinations of two factors that when multiplied together equal 736000. There are many ways to calculate the factor pairs of 736000 .

One easy way is to list out the factors of 736000 :
1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 23 , 25 , 32 , 40 , 46 , 50 , 64 , 80 , 92 , 100 , 115 , 125 , 128 , 160 , 184 , 200 , 230 , 250 , 256 , 320 , 368 , 400 , 460 , 500 , 575 , 640 , 736 , 800 , 920 , 1000 , 1150 , 1280 , 1472 , 1600 , 1840 , 2000 , 2300 , 2875 , 2944 , 3200 , 3680 , 4000 , 4600 , 5750 , 5888 , 6400 , 7360 , 8000 , 9200 , 11500 , 14720 , 16000 , 18400 , 23000 , 29440 , 32000 , 36800 , 46000 , 73600 , 92000 , 147200 , 184000 , 368000 , 736000

Then, pair up the factors:
(1,736000),(2,368000),(4,184000),(5,147200),(8,92000),(10,73600),(16,46000),(20,36800),(23,32000),(25,29440),(32,23000),(40,18400),(46,16000),(50,14720),(64,11500),(80,9200),(92,8000),(100,7360),(115,6400),(125,5888),(128,5750),(160,4600),(184,4000),(200,3680),(230,3200),(250,2944),(256,2875),(320,2300),(368,2000),(400,1840),(460,1600),(500,1472),(575,1280),(640,1150),(736,1000) and (800,920) These are the factor pairs of 736000 .

## Prime Factorisation of 736000

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 736000 using a factor tree, we would start by writing 736000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 736000 would be 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 23.

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 736000 using this method, we keep dividing until it gives a non-zero remainder.

736000 ÷ 2 = 368000
368000 ÷ 2 = 184000
184000 ÷ 2 = 92000
92000 ÷ 2 = 46000
46000 ÷ 2 = 23000
23000 ÷ 2 = 11500
11500 ÷ 2 = 5750
5750 ÷ 2 = 2875
2875 ÷ 5 = 575
575 ÷ 5 = 115
115 ÷ 5 = 23
23 ÷ 23 = 1

So the prime factors of 736000 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 23.

## Frequently Asked Questions on Factors

### What are all the factors of 736000 ?

The factors of 736000 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 23 , 25 , 32 , 40 , 46 , 50 , 64 , 80 , 92 , 100 , 115 , 125 , 128 , 160 , 184 , 200 , 230 , 250 , 256 , 320 , 368 , 400 , 460 , 500 , 575 , 640 , 736 , 800 , 920 , 1000 , 1150 , 1280 , 1472 , 1600 , 1840 , 2000 , 2300 , 2875 , 2944 , 3200 , 3680 , 4000 , 4600 , 5750 , 5888 , 6400 , 7360 , 8000 , 9200 , 11500 , 14720 , 16000 , 18400 , 23000 , 29440 , 32000 , 36800 , 46000 , 73600 , 92000 , 147200 , 184000 , 368000 and 736000.

### What is the prime factorization of 736000 ?

The prime factorization of 736000 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 23 or 28 x 53 x 231, where 2 , 5 , 23 are the prime numbers .

### What are the prime factors of 736000 ?

The prime factors of 736000 are 2 , 5 , 23 .

### Is 736000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
736000 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 23 , 25 , 32 , 40 , 46 , 50 , 64 , 80 , 92 , 100 , 115 , 125 , 128 , 160 , 184 , 200 , 230 , 250 , 256 , 320 , 368 , 400 , 460 , 500 , 575 , 640 , 736 , 800 , 920 , 1000 , 1150 , 1280 , 1472 , 1600 , 1840 , 2000 , 2300 , 2875 , 2944 , 3200 , 3680 , 4000 , 4600 , 5750 , 5888 , 6400 , 7360 , 8000 , 9200 , 11500 , 14720 , 16000 , 18400 , 23000 , 29440 , 32000 , 36800 , 46000 , 73600 , 92000 , 147200 , 184000 , 368000 and 736000.