# What are all the factors, the prime factorization, and factor pairs of 142500?

To find the factors of 142500, divide 142500 by each number starting with 1 and working up to 142500

## 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 142500 ?

To calculate the factors of 142500 , you can use the division method.

1. Begin by dividing 142500 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 142500.

3. Continue dividing 142500 by larger numbers until you find an odd number that does not divide evenly into 142500 .

4. The numbers that divide evenly into 142500 are the factors of 142500 .

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

142500 ÷ 1 = 142500
142500 ÷ 2 = 71250
142500 ÷ 3 = 47500
142500 ÷ 4 = 35625
142500 ÷ 5 = 28500
142500 ÷ 6 = 23750
142500 ÷ 10 = 14250
142500 ÷ 12 = 11875
142500 ÷ 15 = 9500
142500 ÷ 19 = 7500
142500 ÷ 20 = 7125
142500 ÷ 25 = 5700
142500 ÷ 30 = 4750
142500 ÷ 38 = 3750
142500 ÷ 50 = 2850
142500 ÷ 57 = 2500
142500 ÷ 60 = 2375
142500 ÷ 75 = 1900
142500 ÷ 76 = 1875
142500 ÷ 95 = 1500
142500 ÷ 100 = 1425
142500 ÷ 114 = 1250
142500 ÷ 125 = 1140
142500 ÷ 150 = 950
142500 ÷ 190 = 750
142500 ÷ 228 = 625
142500 ÷ 250 = 570
142500 ÷ 285 = 500
142500 ÷ 300 = 475
142500 ÷ 375 = 380
142500 ÷ 380 = 375
142500 ÷ 475 = 300
142500 ÷ 500 = 285
142500 ÷ 570 = 250
142500 ÷ 625 = 228
142500 ÷ 750 = 190
142500 ÷ 950 = 150
142500 ÷ 1140 = 125
142500 ÷ 1250 = 114
142500 ÷ 1425 = 100
142500 ÷ 1500 = 95
142500 ÷ 1875 = 76
142500 ÷ 1900 = 75
142500 ÷ 2375 = 60
142500 ÷ 2500 = 57
142500 ÷ 2850 = 50
142500 ÷ 3750 = 38
142500 ÷ 4750 = 30
142500 ÷ 5700 = 25
142500 ÷ 7125 = 20
142500 ÷ 7500 = 19
142500 ÷ 9500 = 15
142500 ÷ 11875 = 12
142500 ÷ 14250 = 10
142500 ÷ 23750 = 6
142500 ÷ 28500 = 5
142500 ÷ 35625 = 4
142500 ÷ 47500 = 3
142500 ÷ 71250 = 2
142500 ÷ 142500 = 1

As you can see, the factors of 142500 are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 19 , 20 , 25 , 30 , 38 , 50 , 57 , 60 , 75 , 76 , 95 , 100 , 114 , 125 , 150 , 190 , 228 , 250 , 285 , 300 , 375 , 380 , 475 , 500 , 570 , 625 , 750 , 950 , 1140 , 1250 , 1425 , 1500 , 1875 , 1900 , 2375 , 2500 , 2850 , 3750 , 4750 , 5700 , 7125 , 7500 , 9500 , 11875 , 14250 , 23750 , 28500 , 35625 , 47500 , 71250 and 142500 .

## How many factors of 142500 are there ?

The factors of 142500 are the numbers that can evenly divide 142500 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 19 , 20 , 25 , 30 , 38 , 50 , 57 , 60 , 75 , 76 , 95 , 100 , 114 , 125 , 150 , 190 , 228 , 250 , 285 , 300 , 375 , 380 , 475 , 500 , 570 , 625 , 750 , 950 , 1140 , 1250 , 1425 , 1500 , 1875 , 1900 , 2375 , 2500 , 2850 , 3750 , 4750 , 5700 , 7125 , 7500 , 9500 , 11875 , 14250 , 23750 , 28500 , 35625 , 47500 , 71250 and 142500.

Thus, there are a total of 60 factors of 142500

## What are the factor pairs of 142500 ?

Factor Pairs of 142500 are combinations of two factors that when multiplied together equal 142500. There are many ways to calculate the factor pairs of 142500 .

One easy way is to list out the factors of 142500 :
1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 19 , 20 , 25 , 30 , 38 , 50 , 57 , 60 , 75 , 76 , 95 , 100 , 114 , 125 , 150 , 190 , 228 , 250 , 285 , 300 , 375 , 380 , 475 , 500 , 570 , 625 , 750 , 950 , 1140 , 1250 , 1425 , 1500 , 1875 , 1900 , 2375 , 2500 , 2850 , 3750 , 4750 , 5700 , 7125 , 7500 , 9500 , 11875 , 14250 , 23750 , 28500 , 35625 , 47500 , 71250 , 142500

Then, pair up the factors:
(1,142500),(2,71250),(3,47500),(4,35625),(5,28500),(6,23750),(10,14250),(12,11875),(15,9500),(19,7500),(20,7125),(25,5700),(30,4750),(38,3750),(50,2850),(57,2500),(60,2375),(75,1900),(76,1875),(95,1500),(100,1425),(114,1250),(125,1140),(150,950),(190,750),(228,625),(250,570),(285,500),(300,475) and (375,380) These are the factor pairs of 142500 .

## Prime Factorisation of 142500

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 142500 using a factor tree, we would start by writing 142500 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 142500 would be 2 x 2 x 3 x 5 x 5 x 5 x 5 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 142500 using this method, we keep dividing until it gives a non-zero remainder.

142500 ÷ 2 = 71250
71250 ÷ 2 = 35625
35625 ÷ 3 = 11875
11875 ÷ 5 = 2375
2375 ÷ 5 = 475
475 ÷ 5 = 95
95 ÷ 5 = 19
19 ÷ 19 = 1

So the prime factors of 142500 are 2 x 2 x 3 x 5 x 5 x 5 x 5 x 19.

## Frequently Asked Questions on Factors

### What are all the factors of 142500 ?

The factors of 142500 are 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 19 , 20 , 25 , 30 , 38 , 50 , 57 , 60 , 75 , 76 , 95 , 100 , 114 , 125 , 150 , 190 , 228 , 250 , 285 , 300 , 375 , 380 , 475 , 500 , 570 , 625 , 750 , 950 , 1140 , 1250 , 1425 , 1500 , 1875 , 1900 , 2375 , 2500 , 2850 , 3750 , 4750 , 5700 , 7125 , 7500 , 9500 , 11875 , 14250 , 23750 , 28500 , 35625 , 47500 , 71250 and 142500.

### What is the prime factorization of 142500 ?

The prime factorization of 142500 is 2 x 2 x 3 x 5 x 5 x 5 x 5 x 19 or 22 x 31 x 54 x 191, where 2 , 3 , 5 , 19 are the prime numbers .

### What are the prime factors of 142500 ?

The prime factors of 142500 are 2 , 3 , 5 , 19 .

### Is 142500 a prime number ?

A prime number is a number that has only two factors 1 and itself.
142500 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 5 , 6 , 10 , 12 , 15 , 19 , 20 , 25 , 30 , 38 , 50 , 57 , 60 , 75 , 76 , 95 , 100 , 114 , 125 , 150 , 190 , 228 , 250 , 285 , 300 , 375 , 380 , 475 , 500 , 570 , 625 , 750 , 950 , 1140 , 1250 , 1425 , 1500 , 1875 , 1900 , 2375 , 2500 , 2850 , 3750 , 4750 , 5700 , 7125 , 7500 , 9500 , 11875 , 14250 , 23750 , 28500 , 35625 , 47500 , 71250 and 142500.