# What are all the factors, the prime factorization, and factor pairs of 123000?

To find the factors of 123000, divide 123000 by each number starting with 1 and working up to 123000

## 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 123000 ?

To calculate the factors of 123000 , you can use the division method.

1. Begin by dividing 123000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 123000.

3. Continue dividing 123000 by larger numbers until you find an odd number that does not divide evenly into 123000 .

4. The numbers that divide evenly into 123000 are the factors of 123000 .

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

123000 ÷ 1 = 123000
123000 ÷ 2 = 61500
123000 ÷ 3 = 41000
123000 ÷ 4 = 30750
123000 ÷ 5 = 24600
123000 ÷ 6 = 20500
123000 ÷ 8 = 15375
123000 ÷ 10 = 12300
123000 ÷ 12 = 10250
123000 ÷ 15 = 8200
123000 ÷ 20 = 6150
123000 ÷ 24 = 5125
123000 ÷ 25 = 4920
123000 ÷ 30 = 4100
123000 ÷ 40 = 3075
123000 ÷ 41 = 3000
123000 ÷ 50 = 2460
123000 ÷ 60 = 2050
123000 ÷ 75 = 1640
123000 ÷ 82 = 1500
123000 ÷ 100 = 1230
123000 ÷ 120 = 1025
123000 ÷ 123 = 1000
123000 ÷ 125 = 984
123000 ÷ 150 = 820
123000 ÷ 164 = 750
123000 ÷ 200 = 615
123000 ÷ 205 = 600
123000 ÷ 246 = 500
123000 ÷ 250 = 492
123000 ÷ 300 = 410
123000 ÷ 328 = 375
123000 ÷ 375 = 328
123000 ÷ 410 = 300
123000 ÷ 492 = 250
123000 ÷ 500 = 246
123000 ÷ 600 = 205
123000 ÷ 615 = 200
123000 ÷ 750 = 164
123000 ÷ 820 = 150
123000 ÷ 984 = 125
123000 ÷ 1000 = 123
123000 ÷ 1025 = 120
123000 ÷ 1230 = 100
123000 ÷ 1500 = 82
123000 ÷ 1640 = 75
123000 ÷ 2050 = 60
123000 ÷ 2460 = 50
123000 ÷ 3000 = 41
123000 ÷ 3075 = 40
123000 ÷ 4100 = 30
123000 ÷ 4920 = 25
123000 ÷ 5125 = 24
123000 ÷ 6150 = 20
123000 ÷ 8200 = 15
123000 ÷ 10250 = 12
123000 ÷ 12300 = 10
123000 ÷ 15375 = 8
123000 ÷ 20500 = 6
123000 ÷ 24600 = 5
123000 ÷ 30750 = 4
123000 ÷ 41000 = 3
123000 ÷ 61500 = 2
123000 ÷ 123000 = 1

As you can see, the factors of 123000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 20 , 24 , 25 , 30 , 40 , 41 , 50 , 60 , 75 , 82 , 100 , 120 , 123 , 125 , 150 , 164 , 200 , 205 , 246 , 250 , 300 , 328 , 375 , 410 , 492 , 500 , 600 , 615 , 750 , 820 , 984 , 1000 , 1025 , 1230 , 1500 , 1640 , 2050 , 2460 , 3000 , 3075 , 4100 , 4920 , 5125 , 6150 , 8200 , 10250 , 12300 , 15375 , 20500 , 24600 , 30750 , 41000 , 61500 and 123000 .

## How many factors of 123000 are there ?

The factors of 123000 are the numbers that can evenly divide 123000 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 20 , 24 , 25 , 30 , 40 , 41 , 50 , 60 , 75 , 82 , 100 , 120 , 123 , 125 , 150 , 164 , 200 , 205 , 246 , 250 , 300 , 328 , 375 , 410 , 492 , 500 , 600 , 615 , 750 , 820 , 984 , 1000 , 1025 , 1230 , 1500 , 1640 , 2050 , 2460 , 3000 , 3075 , 4100 , 4920 , 5125 , 6150 , 8200 , 10250 , 12300 , 15375 , 20500 , 24600 , 30750 , 41000 , 61500 and 123000.

Thus, there are a total of 64 factors of 123000

## What are the factor pairs of 123000 ?

Factor Pairs of 123000 are combinations of two factors that when multiplied together equal 123000. There are many ways to calculate the factor pairs of 123000 .

One easy way is to list out the factors of 123000 :
1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 20 , 24 , 25 , 30 , 40 , 41 , 50 , 60 , 75 , 82 , 100 , 120 , 123 , 125 , 150 , 164 , 200 , 205 , 246 , 250 , 300 , 328 , 375 , 410 , 492 , 500 , 600 , 615 , 750 , 820 , 984 , 1000 , 1025 , 1230 , 1500 , 1640 , 2050 , 2460 , 3000 , 3075 , 4100 , 4920 , 5125 , 6150 , 8200 , 10250 , 12300 , 15375 , 20500 , 24600 , 30750 , 41000 , 61500 , 123000

Then, pair up the factors:
(1,123000),(2,61500),(3,41000),(4,30750),(5,24600),(6,20500),(8,15375),(10,12300),(12,10250),(15,8200),(20,6150),(24,5125),(25,4920),(30,4100),(40,3075),(41,3000),(50,2460),(60,2050),(75,1640),(82,1500),(100,1230),(120,1025),(123,1000),(125,984),(150,820),(164,750),(200,615),(205,600),(246,500),(250,492),(300,410) and (328,375) These are the factor pairs of 123000 .

## Prime Factorisation of 123000

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 123000 using a factor tree, we would start by writing 123000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 123000 would be 2 x 2 x 2 x 3 x 5 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 123000 using this method, we keep dividing until it gives a non-zero remainder.

123000 ÷ 2 = 61500
61500 ÷ 2 = 30750
30750 ÷ 2 = 15375
15375 ÷ 3 = 5125
5125 ÷ 5 = 1025
1025 ÷ 5 = 205
205 ÷ 5 = 41
41 ÷ 41 = 1

So the prime factors of 123000 are 2 x 2 x 2 x 3 x 5 x 5 x 5 x 41.

## Frequently Asked Questions on Factors

### What are all the factors of 123000 ?

The factors of 123000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 20 , 24 , 25 , 30 , 40 , 41 , 50 , 60 , 75 , 82 , 100 , 120 , 123 , 125 , 150 , 164 , 200 , 205 , 246 , 250 , 300 , 328 , 375 , 410 , 492 , 500 , 600 , 615 , 750 , 820 , 984 , 1000 , 1025 , 1230 , 1500 , 1640 , 2050 , 2460 , 3000 , 3075 , 4100 , 4920 , 5125 , 6150 , 8200 , 10250 , 12300 , 15375 , 20500 , 24600 , 30750 , 41000 , 61500 and 123000.

### What is the prime factorization of 123000 ?

The prime factorization of 123000 is 2 x 2 x 2 x 3 x 5 x 5 x 5 x 41 or 23 x 31 x 53 x 411, where 2 , 3 , 5 , 41 are the prime numbers .

### What are the prime factors of 123000 ?

The prime factors of 123000 are 2 , 3 , 5 , 41 .

### Is 123000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
123000 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 20 , 24 , 25 , 30 , 40 , 41 , 50 , 60 , 75 , 82 , 100 , 120 , 123 , 125 , 150 , 164 , 200 , 205 , 246 , 250 , 300 , 328 , 375 , 410 , 492 , 500 , 600 , 615 , 750 , 820 , 984 , 1000 , 1025 , 1230 , 1500 , 1640 , 2050 , 2460 , 3000 , 3075 , 4100 , 4920 , 5125 , 6150 , 8200 , 10250 , 12300 , 15375 , 20500 , 24600 , 30750 , 41000 , 61500 and 123000.