# What are all the factors, the prime factorization, and factor pairs of 789000?

To find the factors of 789000, divide 789000 by each number starting with 1 and working up to 789000

## 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 789000 ?

To calculate the factors of 789000 , you can use the division method.

1. Begin by dividing 789000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 789000.

3. Continue dividing 789000 by larger numbers until you find an odd number that does not divide evenly into 789000 .

4. The numbers that divide evenly into 789000 are the factors of 789000 .

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

789000 ÷ 1 = 789000
789000 ÷ 2 = 394500
789000 ÷ 3 = 263000
789000 ÷ 4 = 197250
789000 ÷ 5 = 157800
789000 ÷ 6 = 131500
789000 ÷ 8 = 98625
789000 ÷ 10 = 78900
789000 ÷ 12 = 65750
789000 ÷ 15 = 52600
789000 ÷ 20 = 39450
789000 ÷ 24 = 32875
789000 ÷ 25 = 31560
789000 ÷ 30 = 26300
789000 ÷ 40 = 19725
789000 ÷ 50 = 15780
789000 ÷ 60 = 13150
789000 ÷ 75 = 10520
789000 ÷ 100 = 7890
789000 ÷ 120 = 6575
789000 ÷ 125 = 6312
789000 ÷ 150 = 5260
789000 ÷ 200 = 3945
789000 ÷ 250 = 3156
789000 ÷ 263 = 3000
789000 ÷ 300 = 2630
789000 ÷ 375 = 2104
789000 ÷ 500 = 1578
789000 ÷ 526 = 1500
789000 ÷ 600 = 1315
789000 ÷ 750 = 1052
789000 ÷ 789 = 1000
789000 ÷ 1000 = 789
789000 ÷ 1052 = 750
789000 ÷ 1315 = 600
789000 ÷ 1500 = 526
789000 ÷ 1578 = 500
789000 ÷ 2104 = 375
789000 ÷ 2630 = 300
789000 ÷ 3000 = 263
789000 ÷ 3156 = 250
789000 ÷ 3945 = 200
789000 ÷ 5260 = 150
789000 ÷ 6312 = 125
789000 ÷ 6575 = 120
789000 ÷ 7890 = 100
789000 ÷ 10520 = 75
789000 ÷ 13150 = 60
789000 ÷ 15780 = 50
789000 ÷ 19725 = 40
789000 ÷ 26300 = 30
789000 ÷ 31560 = 25
789000 ÷ 32875 = 24
789000 ÷ 39450 = 20
789000 ÷ 52600 = 15
789000 ÷ 65750 = 12
789000 ÷ 78900 = 10
789000 ÷ 98625 = 8
789000 ÷ 131500 = 6
789000 ÷ 157800 = 5
789000 ÷ 197250 = 4
789000 ÷ 263000 = 3
789000 ÷ 394500 = 2
789000 ÷ 789000 = 1

As you can see, the factors of 789000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 20 , 24 , 25 , 30 , 40 , 50 , 60 , 75 , 100 , 120 , 125 , 150 , 200 , 250 , 263 , 300 , 375 , 500 , 526 , 600 , 750 , 789 , 1000 , 1052 , 1315 , 1500 , 1578 , 2104 , 2630 , 3000 , 3156 , 3945 , 5260 , 6312 , 6575 , 7890 , 10520 , 13150 , 15780 , 19725 , 26300 , 31560 , 32875 , 39450 , 52600 , 65750 , 78900 , 98625 , 131500 , 157800 , 197250 , 263000 , 394500 and 789000 .

## How many factors of 789000 are there ?

The factors of 789000 are the numbers that can evenly divide 789000 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 20 , 24 , 25 , 30 , 40 , 50 , 60 , 75 , 100 , 120 , 125 , 150 , 200 , 250 , 263 , 300 , 375 , 500 , 526 , 600 , 750 , 789 , 1000 , 1052 , 1315 , 1500 , 1578 , 2104 , 2630 , 3000 , 3156 , 3945 , 5260 , 6312 , 6575 , 7890 , 10520 , 13150 , 15780 , 19725 , 26300 , 31560 , 32875 , 39450 , 52600 , 65750 , 78900 , 98625 , 131500 , 157800 , 197250 , 263000 , 394500 and 789000.

Thus, there are a total of 64 factors of 789000

## What are the factor pairs of 789000 ?

Factor Pairs of 789000 are combinations of two factors that when multiplied together equal 789000. There are many ways to calculate the factor pairs of 789000 .

One easy way is to list out the factors of 789000 :
1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 20 , 24 , 25 , 30 , 40 , 50 , 60 , 75 , 100 , 120 , 125 , 150 , 200 , 250 , 263 , 300 , 375 , 500 , 526 , 600 , 750 , 789 , 1000 , 1052 , 1315 , 1500 , 1578 , 2104 , 2630 , 3000 , 3156 , 3945 , 5260 , 6312 , 6575 , 7890 , 10520 , 13150 , 15780 , 19725 , 26300 , 31560 , 32875 , 39450 , 52600 , 65750 , 78900 , 98625 , 131500 , 157800 , 197250 , 263000 , 394500 , 789000

Then, pair up the factors:
(1,789000),(2,394500),(3,263000),(4,197250),(5,157800),(6,131500),(8,98625),(10,78900),(12,65750),(15,52600),(20,39450),(24,32875),(25,31560),(30,26300),(40,19725),(50,15780),(60,13150),(75,10520),(100,7890),(120,6575),(125,6312),(150,5260),(200,3945),(250,3156),(263,3000),(300,2630),(375,2104),(500,1578),(526,1500),(600,1315),(750,1052) and (789,1000) These are the factor pairs of 789000 .

## Prime Factorisation of 789000

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 789000 using a factor tree, we would start by writing 789000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 789000 would be 2 x 2 x 2 x 3 x 5 x 5 x 5 x 263.

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 789000 using this method, we keep dividing until it gives a non-zero remainder.

789000 ÷ 2 = 394500
394500 ÷ 2 = 197250
197250 ÷ 2 = 98625
98625 ÷ 3 = 32875
32875 ÷ 5 = 6575
6575 ÷ 5 = 1315
1315 ÷ 5 = 263
263 ÷ 263 = 1

So the prime factors of 789000 are 2 x 2 x 2 x 3 x 5 x 5 x 5 x 263.

## Frequently Asked Questions on Factors

### What are all the factors of 789000 ?

The factors of 789000 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 20 , 24 , 25 , 30 , 40 , 50 , 60 , 75 , 100 , 120 , 125 , 150 , 200 , 250 , 263 , 300 , 375 , 500 , 526 , 600 , 750 , 789 , 1000 , 1052 , 1315 , 1500 , 1578 , 2104 , 2630 , 3000 , 3156 , 3945 , 5260 , 6312 , 6575 , 7890 , 10520 , 13150 , 15780 , 19725 , 26300 , 31560 , 32875 , 39450 , 52600 , 65750 , 78900 , 98625 , 131500 , 157800 , 197250 , 263000 , 394500 and 789000.

### What is the prime factorization of 789000 ?

The prime factorization of 789000 is 2 x 2 x 2 x 3 x 5 x 5 x 5 x 263 or 23 x 31 x 53 x 2631, where 2 , 3 , 5 , 263 are the prime numbers .

### What are the prime factors of 789000 ?

The prime factors of 789000 are 2 , 3 , 5 , 263 .

### Is 789000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
789000 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 20 , 24 , 25 , 30 , 40 , 50 , 60 , 75 , 100 , 120 , 125 , 150 , 200 , 250 , 263 , 300 , 375 , 500 , 526 , 600 , 750 , 789 , 1000 , 1052 , 1315 , 1500 , 1578 , 2104 , 2630 , 3000 , 3156 , 3945 , 5260 , 6312 , 6575 , 7890 , 10520 , 13150 , 15780 , 19725 , 26300 , 31560 , 32875 , 39450 , 52600 , 65750 , 78900 , 98625 , 131500 , 157800 , 197250 , 263000 , 394500 and 789000.