# What are all the factors, the prime factorization, and factor pairs of 359000?

To find the factors of 359000, divide 359000 by each number starting with 1 and working up to 359000

## 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 359000 ?

To calculate the factors of 359000 , you can use the division method.

1. Begin by dividing 359000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 359000.

3. Continue dividing 359000 by larger numbers until you find an odd number that does not divide evenly into 359000 .

4. The numbers that divide evenly into 359000 are the factors of 359000 .

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

359000 ÷ 1 = 359000
359000 ÷ 2 = 179500
359000 ÷ 4 = 89750
359000 ÷ 5 = 71800
359000 ÷ 8 = 44875
359000 ÷ 10 = 35900
359000 ÷ 20 = 17950
359000 ÷ 25 = 14360
359000 ÷ 40 = 8975
359000 ÷ 50 = 7180
359000 ÷ 100 = 3590
359000 ÷ 125 = 2872
359000 ÷ 200 = 1795
359000 ÷ 250 = 1436
359000 ÷ 359 = 1000
359000 ÷ 500 = 718
359000 ÷ 718 = 500
359000 ÷ 1000 = 359
359000 ÷ 1436 = 250
359000 ÷ 1795 = 200
359000 ÷ 2872 = 125
359000 ÷ 3590 = 100
359000 ÷ 7180 = 50
359000 ÷ 8975 = 40
359000 ÷ 14360 = 25
359000 ÷ 17950 = 20
359000 ÷ 35900 = 10
359000 ÷ 44875 = 8
359000 ÷ 71800 = 5
359000 ÷ 89750 = 4
359000 ÷ 179500 = 2
359000 ÷ 359000 = 1

As you can see, the factors of 359000 are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 200 , 250 , 359 , 500 , 718 , 1000 , 1436 , 1795 , 2872 , 3590 , 7180 , 8975 , 14360 , 17950 , 35900 , 44875 , 71800 , 89750 , 179500 and 359000 .

## How many factors of 359000 are there ?

The factors of 359000 are the numbers that can evenly divide 359000 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 200 , 250 , 359 , 500 , 718 , 1000 , 1436 , 1795 , 2872 , 3590 , 7180 , 8975 , 14360 , 17950 , 35900 , 44875 , 71800 , 89750 , 179500 and 359000.

Thus, there are a total of 32 factors of 359000

## What are the factor pairs of 359000 ?

Factor Pairs of 359000 are combinations of two factors that when multiplied together equal 359000. There are many ways to calculate the factor pairs of 359000 .

One easy way is to list out the factors of 359000 :
1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 200 , 250 , 359 , 500 , 718 , 1000 , 1436 , 1795 , 2872 , 3590 , 7180 , 8975 , 14360 , 17950 , 35900 , 44875 , 71800 , 89750 , 179500 , 359000

Then, pair up the factors:
(1,359000),(2,179500),(4,89750),(5,71800),(8,44875),(10,35900),(20,17950),(25,14360),(40,8975),(50,7180),(100,3590),(125,2872),(200,1795),(250,1436),(359,1000) and (500,718) These are the factor pairs of 359000 .

## Prime Factorisation of 359000

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 359000 using a factor tree, we would start by writing 359000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 359000 would be 2 x 2 x 2 x 5 x 5 x 5 x 359.

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 359000 using this method, we keep dividing until it gives a non-zero remainder.

359000 ÷ 2 = 179500
179500 ÷ 2 = 89750
89750 ÷ 2 = 44875
44875 ÷ 5 = 8975
8975 ÷ 5 = 1795
1795 ÷ 5 = 359
359 ÷ 359 = 1

So the prime factors of 359000 are 2 x 2 x 2 x 5 x 5 x 5 x 359.

## Frequently Asked Questions on Factors

### What are all the factors of 359000 ?

The factors of 359000 are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 200 , 250 , 359 , 500 , 718 , 1000 , 1436 , 1795 , 2872 , 3590 , 7180 , 8975 , 14360 , 17950 , 35900 , 44875 , 71800 , 89750 , 179500 and 359000.

### What is the prime factorization of 359000 ?

The prime factorization of 359000 is 2 x 2 x 2 x 5 x 5 x 5 x 359 or 23 x 53 x 3591, where 2 , 5 , 359 are the prime numbers .

### What are the prime factors of 359000 ?

The prime factors of 359000 are 2 , 5 , 359 .

### Is 359000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
359000 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 200 , 250 , 359 , 500 , 718 , 1000 , 1436 , 1795 , 2872 , 3590 , 7180 , 8975 , 14360 , 17950 , 35900 , 44875 , 71800 , 89750 , 179500 and 359000.