# What are all the factors, the prime factorization, and factor pairs of 788000?

To find the factors of 788000, divide 788000 by each number starting with 1 and working up to 788000

## 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 788000 ?

To calculate the factors of 788000 , you can use the division method.

1. Begin by dividing 788000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 788000.

3. Continue dividing 788000 by larger numbers until you find an odd number that does not divide evenly into 788000 .

4. The numbers that divide evenly into 788000 are the factors of 788000 .

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

788000 ÷ 1 = 788000
788000 ÷ 2 = 394000
788000 ÷ 4 = 197000
788000 ÷ 5 = 157600
788000 ÷ 8 = 98500
788000 ÷ 10 = 78800
788000 ÷ 16 = 49250
788000 ÷ 20 = 39400
788000 ÷ 25 = 31520
788000 ÷ 32 = 24625
788000 ÷ 40 = 19700
788000 ÷ 50 = 15760
788000 ÷ 80 = 9850
788000 ÷ 100 = 7880
788000 ÷ 125 = 6304
788000 ÷ 160 = 4925
788000 ÷ 197 = 4000
788000 ÷ 200 = 3940
788000 ÷ 250 = 3152
788000 ÷ 394 = 2000
788000 ÷ 400 = 1970
788000 ÷ 500 = 1576
788000 ÷ 788 = 1000
788000 ÷ 800 = 985
788000 ÷ 985 = 800
788000 ÷ 1000 = 788
788000 ÷ 1576 = 500
788000 ÷ 1970 = 400
788000 ÷ 2000 = 394
788000 ÷ 3152 = 250
788000 ÷ 3940 = 200
788000 ÷ 4000 = 197
788000 ÷ 4925 = 160
788000 ÷ 6304 = 125
788000 ÷ 7880 = 100
788000 ÷ 9850 = 80
788000 ÷ 15760 = 50
788000 ÷ 19700 = 40
788000 ÷ 24625 = 32
788000 ÷ 31520 = 25
788000 ÷ 39400 = 20
788000 ÷ 49250 = 16
788000 ÷ 78800 = 10
788000 ÷ 98500 = 8
788000 ÷ 157600 = 5
788000 ÷ 197000 = 4
788000 ÷ 394000 = 2
788000 ÷ 788000 = 1

As you can see, the factors of 788000 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 80 , 100 , 125 , 160 , 197 , 200 , 250 , 394 , 400 , 500 , 788 , 800 , 985 , 1000 , 1576 , 1970 , 2000 , 3152 , 3940 , 4000 , 4925 , 6304 , 7880 , 9850 , 15760 , 19700 , 24625 , 31520 , 39400 , 49250 , 78800 , 98500 , 157600 , 197000 , 394000 and 788000 .

## How many factors of 788000 are there ?

The factors of 788000 are the numbers that can evenly divide 788000 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 80 , 100 , 125 , 160 , 197 , 200 , 250 , 394 , 400 , 500 , 788 , 800 , 985 , 1000 , 1576 , 1970 , 2000 , 3152 , 3940 , 4000 , 4925 , 6304 , 7880 , 9850 , 15760 , 19700 , 24625 , 31520 , 39400 , 49250 , 78800 , 98500 , 157600 , 197000 , 394000 and 788000.

Thus, there are a total of 48 factors of 788000

## What are the factor pairs of 788000 ?

Factor Pairs of 788000 are combinations of two factors that when multiplied together equal 788000. There are many ways to calculate the factor pairs of 788000 .

One easy way is to list out the factors of 788000 :
1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 80 , 100 , 125 , 160 , 197 , 200 , 250 , 394 , 400 , 500 , 788 , 800 , 985 , 1000 , 1576 , 1970 , 2000 , 3152 , 3940 , 4000 , 4925 , 6304 , 7880 , 9850 , 15760 , 19700 , 24625 , 31520 , 39400 , 49250 , 78800 , 98500 , 157600 , 197000 , 394000 , 788000

Then, pair up the factors:
(1,788000),(2,394000),(4,197000),(5,157600),(8,98500),(10,78800),(16,49250),(20,39400),(25,31520),(32,24625),(40,19700),(50,15760),(80,9850),(100,7880),(125,6304),(160,4925),(197,4000),(200,3940),(250,3152),(394,2000),(400,1970),(500,1576),(788,1000) and (800,985) These are the factor pairs of 788000 .

## Prime Factorisation of 788000

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 788000 using a factor tree, we would start by writing 788000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 788000 would be 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 197.

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 788000 using this method, we keep dividing until it gives a non-zero remainder.

788000 ÷ 2 = 394000
394000 ÷ 2 = 197000
197000 ÷ 2 = 98500
98500 ÷ 2 = 49250
49250 ÷ 2 = 24625
24625 ÷ 5 = 4925
4925 ÷ 5 = 985
985 ÷ 5 = 197
197 ÷ 197 = 1

So the prime factors of 788000 are 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 197.

## Frequently Asked Questions on Factors

### What are all the factors of 788000 ?

The factors of 788000 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 80 , 100 , 125 , 160 , 197 , 200 , 250 , 394 , 400 , 500 , 788 , 800 , 985 , 1000 , 1576 , 1970 , 2000 , 3152 , 3940 , 4000 , 4925 , 6304 , 7880 , 9850 , 15760 , 19700 , 24625 , 31520 , 39400 , 49250 , 78800 , 98500 , 157600 , 197000 , 394000 and 788000.

### What is the prime factorization of 788000 ?

The prime factorization of 788000 is 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 197 or 25 x 53 x 1971, where 2 , 5 , 197 are the prime numbers .

### What are the prime factors of 788000 ?

The prime factors of 788000 are 2 , 5 , 197 .

### Is 788000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
788000 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 80 , 100 , 125 , 160 , 197 , 200 , 250 , 394 , 400 , 500 , 788 , 800 , 985 , 1000 , 1576 , 1970 , 2000 , 3152 , 3940 , 4000 , 4925 , 6304 , 7880 , 9850 , 15760 , 19700 , 24625 , 31520 , 39400 , 49250 , 78800 , 98500 , 157600 , 197000 , 394000 and 788000.