# What are all the factors, the prime factorization, and factor pairs of 121500?

To find the factors of 121500, divide 121500 by each number starting with 1 and working up to 121500

## 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 121500 ?

To calculate the factors of 121500 , you can use the division method.

1. Begin by dividing 121500 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 121500.

3. Continue dividing 121500 by larger numbers until you find an odd number that does not divide evenly into 121500 .

4. The numbers that divide evenly into 121500 are the factors of 121500 .

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

121500 ÷ 1 = 121500
121500 ÷ 2 = 60750
121500 ÷ 3 = 40500
121500 ÷ 4 = 30375
121500 ÷ 5 = 24300
121500 ÷ 6 = 20250
121500 ÷ 9 = 13500
121500 ÷ 10 = 12150
121500 ÷ 12 = 10125
121500 ÷ 15 = 8100
121500 ÷ 18 = 6750
121500 ÷ 20 = 6075
121500 ÷ 25 = 4860
121500 ÷ 27 = 4500
121500 ÷ 30 = 4050
121500 ÷ 36 = 3375
121500 ÷ 45 = 2700
121500 ÷ 50 = 2430
121500 ÷ 54 = 2250
121500 ÷ 60 = 2025
121500 ÷ 75 = 1620
121500 ÷ 81 = 1500
121500 ÷ 90 = 1350
121500 ÷ 100 = 1215
121500 ÷ 108 = 1125
121500 ÷ 125 = 972
121500 ÷ 135 = 900
121500 ÷ 150 = 810
121500 ÷ 162 = 750
121500 ÷ 180 = 675
121500 ÷ 225 = 540
121500 ÷ 243 = 500
121500 ÷ 250 = 486
121500 ÷ 270 = 450
121500 ÷ 300 = 405
121500 ÷ 324 = 375
121500 ÷ 375 = 324
121500 ÷ 405 = 300
121500 ÷ 450 = 270
121500 ÷ 486 = 250
121500 ÷ 500 = 243
121500 ÷ 540 = 225
121500 ÷ 675 = 180
121500 ÷ 750 = 162
121500 ÷ 810 = 150
121500 ÷ 900 = 135
121500 ÷ 972 = 125
121500 ÷ 1125 = 108
121500 ÷ 1215 = 100
121500 ÷ 1350 = 90
121500 ÷ 1500 = 81
121500 ÷ 1620 = 75
121500 ÷ 2025 = 60
121500 ÷ 2250 = 54
121500 ÷ 2430 = 50
121500 ÷ 2700 = 45
121500 ÷ 3375 = 36
121500 ÷ 4050 = 30
121500 ÷ 4500 = 27
121500 ÷ 4860 = 25
121500 ÷ 6075 = 20
121500 ÷ 6750 = 18
121500 ÷ 8100 = 15
121500 ÷ 10125 = 12
121500 ÷ 12150 = 10
121500 ÷ 13500 = 9
121500 ÷ 20250 = 6
121500 ÷ 24300 = 5
121500 ÷ 30375 = 4
121500 ÷ 40500 = 3
121500 ÷ 60750 = 2
121500 ÷ 121500 = 1

As you can see, the factors of 121500 are 1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 25 , 27 , 30 , 36 , 45 , 50 , 54 , 60 , 75 , 81 , 90 , 100 , 108 , 125 , 135 , 150 , 162 , 180 , 225 , 243 , 250 , 270 , 300 , 324 , 375 , 405 , 450 , 486 , 500 , 540 , 675 , 750 , 810 , 900 , 972 , 1125 , 1215 , 1350 , 1500 , 1620 , 2025 , 2250 , 2430 , 2700 , 3375 , 4050 , 4500 , 4860 , 6075 , 6750 , 8100 , 10125 , 12150 , 13500 , 20250 , 24300 , 30375 , 40500 , 60750 and 121500 .

## How many factors of 121500 are there ?

The factors of 121500 are the numbers that can evenly divide 121500 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 25 , 27 , 30 , 36 , 45 , 50 , 54 , 60 , 75 , 81 , 90 , 100 , 108 , 125 , 135 , 150 , 162 , 180 , 225 , 243 , 250 , 270 , 300 , 324 , 375 , 405 , 450 , 486 , 500 , 540 , 675 , 750 , 810 , 900 , 972 , 1125 , 1215 , 1350 , 1500 , 1620 , 2025 , 2250 , 2430 , 2700 , 3375 , 4050 , 4500 , 4860 , 6075 , 6750 , 8100 , 10125 , 12150 , 13500 , 20250 , 24300 , 30375 , 40500 , 60750 and 121500.

Thus, there are a total of 72 factors of 121500

## What are the factor pairs of 121500 ?

Factor Pairs of 121500 are combinations of two factors that when multiplied together equal 121500. There are many ways to calculate the factor pairs of 121500 .

One easy way is to list out the factors of 121500 :
1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 25 , 27 , 30 , 36 , 45 , 50 , 54 , 60 , 75 , 81 , 90 , 100 , 108 , 125 , 135 , 150 , 162 , 180 , 225 , 243 , 250 , 270 , 300 , 324 , 375 , 405 , 450 , 486 , 500 , 540 , 675 , 750 , 810 , 900 , 972 , 1125 , 1215 , 1350 , 1500 , 1620 , 2025 , 2250 , 2430 , 2700 , 3375 , 4050 , 4500 , 4860 , 6075 , 6750 , 8100 , 10125 , 12150 , 13500 , 20250 , 24300 , 30375 , 40500 , 60750 , 121500

Then, pair up the factors:
(1,121500),(2,60750),(3,40500),(4,30375),(5,24300),(6,20250),(9,13500),(10,12150),(12,10125),(15,8100),(18,6750),(20,6075),(25,4860),(27,4500),(30,4050),(36,3375),(45,2700),(50,2430),(54,2250),(60,2025),(75,1620),(81,1500),(90,1350),(100,1215),(108,1125),(125,972),(135,900),(150,810),(162,750),(180,675),(225,540),(243,500),(250,486),(270,450),(300,405) and (324,375) These are the factor pairs of 121500 .

## Prime Factorisation of 121500

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 121500 using a factor tree, we would start by writing 121500 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 121500 would be 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 5 x 5.

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 121500 using this method, we keep dividing until it gives a non-zero remainder.

121500 ÷ 2 = 60750
60750 ÷ 2 = 30375
30375 ÷ 3 = 10125
10125 ÷ 3 = 3375
3375 ÷ 3 = 1125
1125 ÷ 3 = 375
375 ÷ 3 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1

So the prime factors of 121500 are 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 5 x 5.

## Frequently Asked Questions on Factors

### What are all the factors of 121500 ?

The factors of 121500 are 1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 25 , 27 , 30 , 36 , 45 , 50 , 54 , 60 , 75 , 81 , 90 , 100 , 108 , 125 , 135 , 150 , 162 , 180 , 225 , 243 , 250 , 270 , 300 , 324 , 375 , 405 , 450 , 486 , 500 , 540 , 675 , 750 , 810 , 900 , 972 , 1125 , 1215 , 1350 , 1500 , 1620 , 2025 , 2250 , 2430 , 2700 , 3375 , 4050 , 4500 , 4860 , 6075 , 6750 , 8100 , 10125 , 12150 , 13500 , 20250 , 24300 , 30375 , 40500 , 60750 and 121500.

### What is the prime factorization of 121500 ?

The prime factorization of 121500 is 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 5 x 5 or 22 x 35 x 53, where 2 , 3 , 5 are the prime numbers .

### What are the prime factors of 121500 ?

The prime factors of 121500 are 2 , 3 , 5 .

### Is 121500 a prime number ?

A prime number is a number that has only two factors 1 and itself.
121500 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 25 , 27 , 30 , 36 , 45 , 50 , 54 , 60 , 75 , 81 , 90 , 100 , 108 , 125 , 135 , 150 , 162 , 180 , 225 , 243 , 250 , 270 , 300 , 324 , 375 , 405 , 450 , 486 , 500 , 540 , 675 , 750 , 810 , 900 , 972 , 1125 , 1215 , 1350 , 1500 , 1620 , 2025 , 2250 , 2430 , 2700 , 3375 , 4050 , 4500 , 4860 , 6075 , 6750 , 8100 , 10125 , 12150 , 13500 , 20250 , 24300 , 30375 , 40500 , 60750 and 121500.