What Are The Factors Of 123000 - Factor Pairs & Prime Factorization

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.