# What are all the factors, the prime factorization, and factor pairs of 159500?

To find the factors of 159500, divide 159500 by each number starting with 1 and working up to 159500

## 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 159500 ?

To calculate the factors of 159500 , you can use the division method.

1. Begin by dividing 159500 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 159500.

3. Continue dividing 159500 by larger numbers until you find an odd number that does not divide evenly into 159500 .

4. The numbers that divide evenly into 159500 are the factors of 159500 .

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

159500 ÷ 1 = 159500
159500 ÷ 2 = 79750
159500 ÷ 4 = 39875
159500 ÷ 5 = 31900
159500 ÷ 10 = 15950
159500 ÷ 11 = 14500
159500 ÷ 20 = 7975
159500 ÷ 22 = 7250
159500 ÷ 25 = 6380
159500 ÷ 29 = 5500
159500 ÷ 44 = 3625
159500 ÷ 50 = 3190
159500 ÷ 55 = 2900
159500 ÷ 58 = 2750
159500 ÷ 100 = 1595
159500 ÷ 110 = 1450
159500 ÷ 116 = 1375
159500 ÷ 125 = 1276
159500 ÷ 145 = 1100
159500 ÷ 220 = 725
159500 ÷ 250 = 638
159500 ÷ 275 = 580
159500 ÷ 290 = 550
159500 ÷ 319 = 500
159500 ÷ 500 = 319
159500 ÷ 550 = 290
159500 ÷ 580 = 275
159500 ÷ 638 = 250
159500 ÷ 725 = 220
159500 ÷ 1100 = 145
159500 ÷ 1276 = 125
159500 ÷ 1375 = 116
159500 ÷ 1450 = 110
159500 ÷ 1595 = 100
159500 ÷ 2750 = 58
159500 ÷ 2900 = 55
159500 ÷ 3190 = 50
159500 ÷ 3625 = 44
159500 ÷ 5500 = 29
159500 ÷ 6380 = 25
159500 ÷ 7250 = 22
159500 ÷ 7975 = 20
159500 ÷ 14500 = 11
159500 ÷ 15950 = 10
159500 ÷ 31900 = 5
159500 ÷ 39875 = 4
159500 ÷ 79750 = 2
159500 ÷ 159500 = 1

As you can see, the factors of 159500 are 1 , 2 , 4 , 5 , 10 , 11 , 20 , 22 , 25 , 29 , 44 , 50 , 55 , 58 , 100 , 110 , 116 , 125 , 145 , 220 , 250 , 275 , 290 , 319 , 500 , 550 , 580 , 638 , 725 , 1100 , 1276 , 1375 , 1450 , 1595 , 2750 , 2900 , 3190 , 3625 , 5500 , 6380 , 7250 , 7975 , 14500 , 15950 , 31900 , 39875 , 79750 and 159500 .

## How many factors of 159500 are there ?

The factors of 159500 are the numbers that can evenly divide 159500 . These numbers are 1 , 2 , 4 , 5 , 10 , 11 , 20 , 22 , 25 , 29 , 44 , 50 , 55 , 58 , 100 , 110 , 116 , 125 , 145 , 220 , 250 , 275 , 290 , 319 , 500 , 550 , 580 , 638 , 725 , 1100 , 1276 , 1375 , 1450 , 1595 , 2750 , 2900 , 3190 , 3625 , 5500 , 6380 , 7250 , 7975 , 14500 , 15950 , 31900 , 39875 , 79750 and 159500.

Thus, there are a total of 48 factors of 159500

## What are the factor pairs of 159500 ?

Factor Pairs of 159500 are combinations of two factors that when multiplied together equal 159500. There are many ways to calculate the factor pairs of 159500 .

One easy way is to list out the factors of 159500 :
1 , 2 , 4 , 5 , 10 , 11 , 20 , 22 , 25 , 29 , 44 , 50 , 55 , 58 , 100 , 110 , 116 , 125 , 145 , 220 , 250 , 275 , 290 , 319 , 500 , 550 , 580 , 638 , 725 , 1100 , 1276 , 1375 , 1450 , 1595 , 2750 , 2900 , 3190 , 3625 , 5500 , 6380 , 7250 , 7975 , 14500 , 15950 , 31900 , 39875 , 79750 , 159500

Then, pair up the factors:
(1,159500),(2,79750),(4,39875),(5,31900),(10,15950),(11,14500),(20,7975),(22,7250),(25,6380),(29,5500),(44,3625),(50,3190),(55,2900),(58,2750),(100,1595),(110,1450),(116,1375),(125,1276),(145,1100),(220,725),(250,638),(275,580),(290,550) and (319,500) These are the factor pairs of 159500 .

## Prime Factorisation of 159500

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 159500 using a factor tree, we would start by writing 159500 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 159500 would be 2 x 2 x 5 x 5 x 5 x 11 x 29.

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 159500 using this method, we keep dividing until it gives a non-zero remainder.

159500 ÷ 2 = 79750
79750 ÷ 2 = 39875
39875 ÷ 5 = 7975
7975 ÷ 5 = 1595
1595 ÷ 5 = 319
319 ÷ 11 = 29
29 ÷ 29 = 1

So the prime factors of 159500 are 2 x 2 x 5 x 5 x 5 x 11 x 29.

## Frequently Asked Questions on Factors

### What are all the factors of 159500 ?

The factors of 159500 are 1 , 2 , 4 , 5 , 10 , 11 , 20 , 22 , 25 , 29 , 44 , 50 , 55 , 58 , 100 , 110 , 116 , 125 , 145 , 220 , 250 , 275 , 290 , 319 , 500 , 550 , 580 , 638 , 725 , 1100 , 1276 , 1375 , 1450 , 1595 , 2750 , 2900 , 3190 , 3625 , 5500 , 6380 , 7250 , 7975 , 14500 , 15950 , 31900 , 39875 , 79750 and 159500.

### What is the prime factorization of 159500 ?

The prime factorization of 159500 is 2 x 2 x 5 x 5 x 5 x 11 x 29 or 22 x 53 x 111 x 291, where 2 , 5 , 11 , 29 are the prime numbers .

### What are the prime factors of 159500 ?

The prime factors of 159500 are 2 , 5 , 11 , 29 .

### Is 159500 a prime number ?

A prime number is a number that has only two factors 1 and itself.
159500 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 10 , 11 , 20 , 22 , 25 , 29 , 44 , 50 , 55 , 58 , 100 , 110 , 116 , 125 , 145 , 220 , 250 , 275 , 290 , 319 , 500 , 550 , 580 , 638 , 725 , 1100 , 1276 , 1375 , 1450 , 1595 , 2750 , 2900 , 3190 , 3625 , 5500 , 6380 , 7250 , 7975 , 14500 , 15950 , 31900 , 39875 , 79750 and 159500.