# What are all the factors, the prime factorization, and factor pairs of 123500?

To find the factors of 123500, divide 123500 by each number starting with 1 and working up to 123500

## 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 123500 ?

To calculate the factors of 123500 , you can use the division method.

1. Begin by dividing 123500 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 123500.

3. Continue dividing 123500 by larger numbers until you find an odd number that does not divide evenly into 123500 .

4. The numbers that divide evenly into 123500 are the factors of 123500 .

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

123500 ÷ 1 = 123500
123500 ÷ 2 = 61750
123500 ÷ 4 = 30875
123500 ÷ 5 = 24700
123500 ÷ 10 = 12350
123500 ÷ 13 = 9500
123500 ÷ 19 = 6500
123500 ÷ 20 = 6175
123500 ÷ 25 = 4940
123500 ÷ 26 = 4750
123500 ÷ 38 = 3250
123500 ÷ 50 = 2470
123500 ÷ 52 = 2375
123500 ÷ 65 = 1900
123500 ÷ 76 = 1625
123500 ÷ 95 = 1300
123500 ÷ 100 = 1235
123500 ÷ 125 = 988
123500 ÷ 130 = 950
123500 ÷ 190 = 650
123500 ÷ 247 = 500
123500 ÷ 250 = 494
123500 ÷ 260 = 475
123500 ÷ 325 = 380
123500 ÷ 380 = 325
123500 ÷ 475 = 260
123500 ÷ 494 = 250
123500 ÷ 500 = 247
123500 ÷ 650 = 190
123500 ÷ 950 = 130
123500 ÷ 988 = 125
123500 ÷ 1235 = 100
123500 ÷ 1300 = 95
123500 ÷ 1625 = 76
123500 ÷ 1900 = 65
123500 ÷ 2375 = 52
123500 ÷ 2470 = 50
123500 ÷ 3250 = 38
123500 ÷ 4750 = 26
123500 ÷ 4940 = 25
123500 ÷ 6175 = 20
123500 ÷ 6500 = 19
123500 ÷ 9500 = 13
123500 ÷ 12350 = 10
123500 ÷ 24700 = 5
123500 ÷ 30875 = 4
123500 ÷ 61750 = 2
123500 ÷ 123500 = 1

As you can see, the factors of 123500 are 1 , 2 , 4 , 5 , 10 , 13 , 19 , 20 , 25 , 26 , 38 , 50 , 52 , 65 , 76 , 95 , 100 , 125 , 130 , 190 , 247 , 250 , 260 , 325 , 380 , 475 , 494 , 500 , 650 , 950 , 988 , 1235 , 1300 , 1625 , 1900 , 2375 , 2470 , 3250 , 4750 , 4940 , 6175 , 6500 , 9500 , 12350 , 24700 , 30875 , 61750 and 123500 .

## How many factors of 123500 are there ?

The factors of 123500 are the numbers that can evenly divide 123500 . These numbers are 1 , 2 , 4 , 5 , 10 , 13 , 19 , 20 , 25 , 26 , 38 , 50 , 52 , 65 , 76 , 95 , 100 , 125 , 130 , 190 , 247 , 250 , 260 , 325 , 380 , 475 , 494 , 500 , 650 , 950 , 988 , 1235 , 1300 , 1625 , 1900 , 2375 , 2470 , 3250 , 4750 , 4940 , 6175 , 6500 , 9500 , 12350 , 24700 , 30875 , 61750 and 123500.

Thus, there are a total of 48 factors of 123500

## What are the factor pairs of 123500 ?

Factor Pairs of 123500 are combinations of two factors that when multiplied together equal 123500. There are many ways to calculate the factor pairs of 123500 .

One easy way is to list out the factors of 123500 :
1 , 2 , 4 , 5 , 10 , 13 , 19 , 20 , 25 , 26 , 38 , 50 , 52 , 65 , 76 , 95 , 100 , 125 , 130 , 190 , 247 , 250 , 260 , 325 , 380 , 475 , 494 , 500 , 650 , 950 , 988 , 1235 , 1300 , 1625 , 1900 , 2375 , 2470 , 3250 , 4750 , 4940 , 6175 , 6500 , 9500 , 12350 , 24700 , 30875 , 61750 , 123500

Then, pair up the factors:
(1,123500),(2,61750),(4,30875),(5,24700),(10,12350),(13,9500),(19,6500),(20,6175),(25,4940),(26,4750),(38,3250),(50,2470),(52,2375),(65,1900),(76,1625),(95,1300),(100,1235),(125,988),(130,950),(190,650),(247,500),(250,494),(260,475) and (325,380) These are the factor pairs of 123500 .

## Prime Factorisation of 123500

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 123500 using a factor tree, we would start by writing 123500 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 123500 would be 2 x 2 x 5 x 5 x 5 x 13 x 19.

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 123500 using this method, we keep dividing until it gives a non-zero remainder.

123500 ÷ 2 = 61750
61750 ÷ 2 = 30875
30875 ÷ 5 = 6175
6175 ÷ 5 = 1235
1235 ÷ 5 = 247
247 ÷ 13 = 19
19 ÷ 19 = 1

So the prime factors of 123500 are 2 x 2 x 5 x 5 x 5 x 13 x 19.

## Frequently Asked Questions on Factors

### What are all the factors of 123500 ?

The factors of 123500 are 1 , 2 , 4 , 5 , 10 , 13 , 19 , 20 , 25 , 26 , 38 , 50 , 52 , 65 , 76 , 95 , 100 , 125 , 130 , 190 , 247 , 250 , 260 , 325 , 380 , 475 , 494 , 500 , 650 , 950 , 988 , 1235 , 1300 , 1625 , 1900 , 2375 , 2470 , 3250 , 4750 , 4940 , 6175 , 6500 , 9500 , 12350 , 24700 , 30875 , 61750 and 123500.

### What is the prime factorization of 123500 ?

The prime factorization of 123500 is 2 x 2 x 5 x 5 x 5 x 13 x 19 or 22 x 53 x 131 x 191, where 2 , 5 , 13 , 19 are the prime numbers .

### What are the prime factors of 123500 ?

The prime factors of 123500 are 2 , 5 , 13 , 19 .

### Is 123500 a prime number ?

A prime number is a number that has only two factors 1 and itself.
123500 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 10 , 13 , 19 , 20 , 25 , 26 , 38 , 50 , 52 , 65 , 76 , 95 , 100 , 125 , 130 , 190 , 247 , 250 , 260 , 325 , 380 , 475 , 494 , 500 , 650 , 950 , 988 , 1235 , 1300 , 1625 , 1900 , 2375 , 2470 , 3250 , 4750 , 4940 , 6175 , 6500 , 9500 , 12350 , 24700 , 30875 , 61750 and 123500.