# What are all the factors, the prime factorization, and factor pairs of 23400?

To find the factors of 23400, divide 23400 by each number starting with 1 and working up to 23400

## 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 23400 ?

To calculate the factors of 23400 , you can use the division method.

1. Begin by dividing 23400 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 23400.

3. Continue dividing 23400 by larger numbers until you find an odd number that does not divide evenly into 23400 .

4. The numbers that divide evenly into 23400 are the factors of 23400 .

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

23400 ÷ 1 = 23400
23400 ÷ 2 = 11700
23400 ÷ 3 = 7800
23400 ÷ 4 = 5850
23400 ÷ 5 = 4680
23400 ÷ 6 = 3900
23400 ÷ 8 = 2925
23400 ÷ 9 = 2600
23400 ÷ 10 = 2340
23400 ÷ 12 = 1950
23400 ÷ 13 = 1800
23400 ÷ 15 = 1560
23400 ÷ 18 = 1300
23400 ÷ 20 = 1170
23400 ÷ 24 = 975
23400 ÷ 25 = 936
23400 ÷ 26 = 900
23400 ÷ 30 = 780
23400 ÷ 36 = 650
23400 ÷ 39 = 600
23400 ÷ 40 = 585
23400 ÷ 45 = 520
23400 ÷ 50 = 468
23400 ÷ 52 = 450
23400 ÷ 60 = 390
23400 ÷ 65 = 360
23400 ÷ 72 = 325
23400 ÷ 75 = 312
23400 ÷ 78 = 300
23400 ÷ 90 = 260
23400 ÷ 100 = 234
23400 ÷ 104 = 225
23400 ÷ 117 = 200
23400 ÷ 120 = 195
23400 ÷ 130 = 180
23400 ÷ 150 = 156
23400 ÷ 156 = 150
23400 ÷ 180 = 130
23400 ÷ 195 = 120
23400 ÷ 200 = 117
23400 ÷ 225 = 104
23400 ÷ 234 = 100
23400 ÷ 260 = 90
23400 ÷ 300 = 78
23400 ÷ 312 = 75
23400 ÷ 325 = 72
23400 ÷ 360 = 65
23400 ÷ 390 = 60
23400 ÷ 450 = 52
23400 ÷ 468 = 50
23400 ÷ 520 = 45
23400 ÷ 585 = 40
23400 ÷ 600 = 39
23400 ÷ 650 = 36
23400 ÷ 780 = 30
23400 ÷ 900 = 26
23400 ÷ 936 = 25
23400 ÷ 975 = 24
23400 ÷ 1170 = 20
23400 ÷ 1300 = 18
23400 ÷ 1560 = 15
23400 ÷ 1800 = 13
23400 ÷ 1950 = 12
23400 ÷ 2340 = 10
23400 ÷ 2600 = 9
23400 ÷ 2925 = 8
23400 ÷ 3900 = 6
23400 ÷ 4680 = 5
23400 ÷ 5850 = 4
23400 ÷ 7800 = 3
23400 ÷ 11700 = 2
23400 ÷ 23400 = 1

As you can see, the factors of 23400 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 13 , 15 , 18 , 20 , 24 , 25 , 26 , 30 , 36 , 39 , 40 , 45 , 50 , 52 , 60 , 65 , 72 , 75 , 78 , 90 , 100 , 104 , 117 , 120 , 130 , 150 , 156 , 180 , 195 , 200 , 225 , 234 , 260 , 300 , 312 , 325 , 360 , 390 , 450 , 468 , 520 , 585 , 600 , 650 , 780 , 900 , 936 , 975 , 1170 , 1300 , 1560 , 1800 , 1950 , 2340 , 2600 , 2925 , 3900 , 4680 , 5850 , 7800 , 11700 and 23400 .

## How many factors of 23400 are there ?

The factors of 23400 are the numbers that can evenly divide 23400 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 13 , 15 , 18 , 20 , 24 , 25 , 26 , 30 , 36 , 39 , 40 , 45 , 50 , 52 , 60 , 65 , 72 , 75 , 78 , 90 , 100 , 104 , 117 , 120 , 130 , 150 , 156 , 180 , 195 , 200 , 225 , 234 , 260 , 300 , 312 , 325 , 360 , 390 , 450 , 468 , 520 , 585 , 600 , 650 , 780 , 900 , 936 , 975 , 1170 , 1300 , 1560 , 1800 , 1950 , 2340 , 2600 , 2925 , 3900 , 4680 , 5850 , 7800 , 11700 and 23400.

Thus, there are a total of 72 factors of 23400

## What are the factor pairs of 23400 ?

Factor Pairs of 23400 are combinations of two factors that when multiplied together equal 23400. There are many ways to calculate the factor pairs of 23400 .

One easy way is to list out the factors of 23400 :
1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 13 , 15 , 18 , 20 , 24 , 25 , 26 , 30 , 36 , 39 , 40 , 45 , 50 , 52 , 60 , 65 , 72 , 75 , 78 , 90 , 100 , 104 , 117 , 120 , 130 , 150 , 156 , 180 , 195 , 200 , 225 , 234 , 260 , 300 , 312 , 325 , 360 , 390 , 450 , 468 , 520 , 585 , 600 , 650 , 780 , 900 , 936 , 975 , 1170 , 1300 , 1560 , 1800 , 1950 , 2340 , 2600 , 2925 , 3900 , 4680 , 5850 , 7800 , 11700 , 23400

Then, pair up the factors:
(1,23400),(2,11700),(3,7800),(4,5850),(5,4680),(6,3900),(8,2925),(9,2600),(10,2340),(12,1950),(13,1800),(15,1560),(18,1300),(20,1170),(24,975),(25,936),(26,900),(30,780),(36,650),(39,600),(40,585),(45,520),(50,468),(52,450),(60,390),(65,360),(72,325),(75,312),(78,300),(90,260),(100,234),(104,225),(117,200),(120,195),(130,180) and (150,156) These are the factor pairs of 23400 .

## Prime Factorisation of 23400

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 23400 using a factor tree, we would start by writing 23400 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 23400 would be 2 x 2 x 2 x 3 x 3 x 5 x 5 x 13.

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 23400 using this method, we keep dividing until it gives a non-zero remainder.

23400 ÷ 2 = 11700
11700 ÷ 2 = 5850
5850 ÷ 2 = 2925
2925 ÷ 3 = 975
975 ÷ 3 = 325
325 ÷ 5 = 65
65 ÷ 5 = 13
13 ÷ 13 = 1

So the prime factors of 23400 are 2 x 2 x 2 x 3 x 3 x 5 x 5 x 13.

## Frequently Asked Questions on Factors

### What are all the factors of 23400 ?

The factors of 23400 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 13 , 15 , 18 , 20 , 24 , 25 , 26 , 30 , 36 , 39 , 40 , 45 , 50 , 52 , 60 , 65 , 72 , 75 , 78 , 90 , 100 , 104 , 117 , 120 , 130 , 150 , 156 , 180 , 195 , 200 , 225 , 234 , 260 , 300 , 312 , 325 , 360 , 390 , 450 , 468 , 520 , 585 , 600 , 650 , 780 , 900 , 936 , 975 , 1170 , 1300 , 1560 , 1800 , 1950 , 2340 , 2600 , 2925 , 3900 , 4680 , 5850 , 7800 , 11700 and 23400.

### What is the prime factorization of 23400 ?

The prime factorization of 23400 is 2 x 2 x 2 x 3 x 3 x 5 x 5 x 13 or 23 x 32 x 52 x 131, where 2 , 3 , 5 , 13 are the prime numbers .

### What are the prime factors of 23400 ?

The prime factors of 23400 are 2 , 3 , 5 , 13 .

### Is 23400 a prime number ?

A prime number is a number that has only two factors 1 and itself.
23400 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 12 , 13 , 15 , 18 , 20 , 24 , 25 , 26 , 30 , 36 , 39 , 40 , 45 , 50 , 52 , 60 , 65 , 72 , 75 , 78 , 90 , 100 , 104 , 117 , 120 , 130 , 150 , 156 , 180 , 195 , 200 , 225 , 234 , 260 , 300 , 312 , 325 , 360 , 390 , 450 , 468 , 520 , 585 , 600 , 650 , 780 , 900 , 936 , 975 , 1170 , 1300 , 1560 , 1800 , 1950 , 2340 , 2600 , 2925 , 3900 , 4680 , 5850 , 7800 , 11700 and 23400.