# What are all the factors, the prime factorization, and factor pairs of 118500?

To find the factors of 118500, divide 118500 by each number starting with 1 and working up to 118500

## 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 118500 ?

To calculate the factors of 118500 , you can use the division method.

1. Begin by dividing 118500 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 118500.

3. Continue dividing 118500 by larger numbers until you find an odd number that does not divide evenly into 118500 .

4. The numbers that divide evenly into 118500 are the factors of 118500 .

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

118500 ÷ 1 = 118500
118500 ÷ 2 = 59250
118500 ÷ 3 = 39500
118500 ÷ 4 = 29625
118500 ÷ 5 = 23700
118500 ÷ 6 = 19750
118500 ÷ 10 = 11850
118500 ÷ 12 = 9875
118500 ÷ 15 = 7900
118500 ÷ 20 = 5925
118500 ÷ 25 = 4740
118500 ÷ 30 = 3950
118500 ÷ 50 = 2370
118500 ÷ 60 = 1975
118500 ÷ 75 = 1580
118500 ÷ 79 = 1500
118500 ÷ 100 = 1185
118500 ÷ 125 = 948
118500 ÷ 150 = 790
118500 ÷ 158 = 750
118500 ÷ 237 = 500
118500 ÷ 250 = 474
118500 ÷ 300 = 395
118500 ÷ 316 = 375
118500 ÷ 375 = 316
118500 ÷ 395 = 300
118500 ÷ 474 = 250
118500 ÷ 500 = 237
118500 ÷ 750 = 158
118500 ÷ 790 = 150
118500 ÷ 948 = 125
118500 ÷ 1185 = 100
118500 ÷ 1500 = 79
118500 ÷ 1580 = 75
118500 ÷ 1975 = 60
118500 ÷ 2370 = 50
118500 ÷ 3950 = 30
118500 ÷ 4740 = 25
118500 ÷ 5925 = 20
118500 ÷ 7900 = 15
118500 ÷ 9875 = 12
118500 ÷ 11850 = 10
118500 ÷ 19750 = 6
118500 ÷ 23700 = 5
118500 ÷ 29625 = 4
118500 ÷ 39500 = 3
118500 ÷ 59250 = 2
118500 ÷ 118500 = 1

As you can see, the factors of 118500 are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 20 , 25 , 30 , 50 , 60 , 75 , 79 , 100 , 125 , 150 , 158 , 237 , 250 , 300 , 316 , 375 , 395 , 474 , 500 , 750 , 790 , 948 , 1185 , 1500 , 1580 , 1975 , 2370 , 3950 , 4740 , 5925 , 7900 , 9875 , 11850 , 19750 , 23700 , 29625 , 39500 , 59250 and 118500 .

## How many factors of 118500 are there ?

The factors of 118500 are the numbers that can evenly divide 118500 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 20 , 25 , 30 , 50 , 60 , 75 , 79 , 100 , 125 , 150 , 158 , 237 , 250 , 300 , 316 , 375 , 395 , 474 , 500 , 750 , 790 , 948 , 1185 , 1500 , 1580 , 1975 , 2370 , 3950 , 4740 , 5925 , 7900 , 9875 , 11850 , 19750 , 23700 , 29625 , 39500 , 59250 and 118500.

Thus, there are a total of 48 factors of 118500

## What are the factor pairs of 118500 ?

Factor Pairs of 118500 are combinations of two factors that when multiplied together equal 118500. There are many ways to calculate the factor pairs of 118500 .

One easy way is to list out the factors of 118500 :
1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 20 , 25 , 30 , 50 , 60 , 75 , 79 , 100 , 125 , 150 , 158 , 237 , 250 , 300 , 316 , 375 , 395 , 474 , 500 , 750 , 790 , 948 , 1185 , 1500 , 1580 , 1975 , 2370 , 3950 , 4740 , 5925 , 7900 , 9875 , 11850 , 19750 , 23700 , 29625 , 39500 , 59250 , 118500

Then, pair up the factors:
(1,118500),(2,59250),(3,39500),(4,29625),(5,23700),(6,19750),(10,11850),(12,9875),(15,7900),(20,5925),(25,4740),(30,3950),(50,2370),(60,1975),(75,1580),(79,1500),(100,1185),(125,948),(150,790),(158,750),(237,500),(250,474),(300,395) and (316,375) These are the factor pairs of 118500 .

## Prime Factorisation of 118500

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 118500 using a factor tree, we would start by writing 118500 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 118500 would be 2 x 2 x 3 x 5 x 5 x 5 x 79.

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 118500 using this method, we keep dividing until it gives a non-zero remainder.

118500 ÷ 2 = 59250
59250 ÷ 2 = 29625
29625 ÷ 3 = 9875
9875 ÷ 5 = 1975
1975 ÷ 5 = 395
395 ÷ 5 = 79
79 ÷ 79 = 1

So the prime factors of 118500 are 2 x 2 x 3 x 5 x 5 x 5 x 79.

## Frequently Asked Questions on Factors

### What are all the factors of 118500 ?

The factors of 118500 are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 20 , 25 , 30 , 50 , 60 , 75 , 79 , 100 , 125 , 150 , 158 , 237 , 250 , 300 , 316 , 375 , 395 , 474 , 500 , 750 , 790 , 948 , 1185 , 1500 , 1580 , 1975 , 2370 , 3950 , 4740 , 5925 , 7900 , 9875 , 11850 , 19750 , 23700 , 29625 , 39500 , 59250 and 118500.

### What is the prime factorization of 118500 ?

The prime factorization of 118500 is 2 x 2 x 3 x 5 x 5 x 5 x 79 or 22 x 31 x 53 x 791, where 2 , 3 , 5 , 79 are the prime numbers .

### What are the prime factors of 118500 ?

The prime factors of 118500 are 2 , 3 , 5 , 79 .

### Is 118500 a prime number ?

A prime number is a number that has only two factors 1 and itself.
118500 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 20 , 25 , 30 , 50 , 60 , 75 , 79 , 100 , 125 , 150 , 158 , 237 , 250 , 300 , 316 , 375 , 395 , 474 , 500 , 750 , 790 , 948 , 1185 , 1500 , 1580 , 1975 , 2370 , 3950 , 4740 , 5925 , 7900 , 9875 , 11850 , 19750 , 23700 , 29625 , 39500 , 59250 and 118500.