# What are all the factors, the prime factorization, and factor pairs of 389000?

To find the factors of 389000, divide 389000 by each number starting with 1 and working up to 389000

## 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 389000 ?

To calculate the factors of 389000 , you can use the division method.

1. Begin by dividing 389000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 389000.

3. Continue dividing 389000 by larger numbers until you find an odd number that does not divide evenly into 389000 .

4. The numbers that divide evenly into 389000 are the factors of 389000 .

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

389000 ÷ 1 = 389000
389000 ÷ 2 = 194500
389000 ÷ 4 = 97250
389000 ÷ 5 = 77800
389000 ÷ 8 = 48625
389000 ÷ 10 = 38900
389000 ÷ 20 = 19450
389000 ÷ 25 = 15560
389000 ÷ 40 = 9725
389000 ÷ 50 = 7780
389000 ÷ 100 = 3890
389000 ÷ 125 = 3112
389000 ÷ 200 = 1945
389000 ÷ 250 = 1556
389000 ÷ 389 = 1000
389000 ÷ 500 = 778
389000 ÷ 778 = 500
389000 ÷ 1000 = 389
389000 ÷ 1556 = 250
389000 ÷ 1945 = 200
389000 ÷ 3112 = 125
389000 ÷ 3890 = 100
389000 ÷ 7780 = 50
389000 ÷ 9725 = 40
389000 ÷ 15560 = 25
389000 ÷ 19450 = 20
389000 ÷ 38900 = 10
389000 ÷ 48625 = 8
389000 ÷ 77800 = 5
389000 ÷ 97250 = 4
389000 ÷ 194500 = 2
389000 ÷ 389000 = 1

As you can see, the factors of 389000 are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 200 , 250 , 389 , 500 , 778 , 1000 , 1556 , 1945 , 3112 , 3890 , 7780 , 9725 , 15560 , 19450 , 38900 , 48625 , 77800 , 97250 , 194500 and 389000 .

## How many factors of 389000 are there ?

The factors of 389000 are the numbers that can evenly divide 389000 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 200 , 250 , 389 , 500 , 778 , 1000 , 1556 , 1945 , 3112 , 3890 , 7780 , 9725 , 15560 , 19450 , 38900 , 48625 , 77800 , 97250 , 194500 and 389000.

Thus, there are a total of 32 factors of 389000

## What are the factor pairs of 389000 ?

Factor Pairs of 389000 are combinations of two factors that when multiplied together equal 389000. There are many ways to calculate the factor pairs of 389000 .

One easy way is to list out the factors of 389000 :
1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 200 , 250 , 389 , 500 , 778 , 1000 , 1556 , 1945 , 3112 , 3890 , 7780 , 9725 , 15560 , 19450 , 38900 , 48625 , 77800 , 97250 , 194500 , 389000

Then, pair up the factors:
(1,389000),(2,194500),(4,97250),(5,77800),(8,48625),(10,38900),(20,19450),(25,15560),(40,9725),(50,7780),(100,3890),(125,3112),(200,1945),(250,1556),(389,1000) and (500,778) These are the factor pairs of 389000 .

## Prime Factorisation of 389000

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 389000 using a factor tree, we would start by writing 389000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 389000 would be 2 x 2 x 2 x 5 x 5 x 5 x 389.

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 389000 using this method, we keep dividing until it gives a non-zero remainder.

389000 ÷ 2 = 194500
194500 ÷ 2 = 97250
97250 ÷ 2 = 48625
48625 ÷ 5 = 9725
9725 ÷ 5 = 1945
1945 ÷ 5 = 389
389 ÷ 389 = 1

So the prime factors of 389000 are 2 x 2 x 2 x 5 x 5 x 5 x 389.

## Frequently Asked Questions on Factors

### What are all the factors of 389000 ?

The factors of 389000 are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 200 , 250 , 389 , 500 , 778 , 1000 , 1556 , 1945 , 3112 , 3890 , 7780 , 9725 , 15560 , 19450 , 38900 , 48625 , 77800 , 97250 , 194500 and 389000.

### What is the prime factorization of 389000 ?

The prime factorization of 389000 is 2 x 2 x 2 x 5 x 5 x 5 x 389 or 23 x 53 x 3891, where 2 , 5 , 389 are the prime numbers .

### What are the prime factors of 389000 ?

The prime factors of 389000 are 2 , 5 , 389 .

### Is 389000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
389000 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 , 389 , 500 , 778 , 1000 , 1556 , 1945 , 3112 , 3890 , 7780 , 9725 , 15560 , 19450 , 38900 , 48625 , 77800 , 97250 , 194500 and 389000.