# What are all the factors, the prime factorization, and factor pairs of 772000?

To find the factors of 772000, divide 772000 by each number starting with 1 and working up to 772000

## 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 772000 ?

To calculate the factors of 772000 , you can use the division method.

1. Begin by dividing 772000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 772000.

3. Continue dividing 772000 by larger numbers until you find an odd number that does not divide evenly into 772000 .

4. The numbers that divide evenly into 772000 are the factors of 772000 .

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

772000 ÷ 1 = 772000
772000 ÷ 2 = 386000
772000 ÷ 4 = 193000
772000 ÷ 5 = 154400
772000 ÷ 8 = 96500
772000 ÷ 10 = 77200
772000 ÷ 16 = 48250
772000 ÷ 20 = 38600
772000 ÷ 25 = 30880
772000 ÷ 32 = 24125
772000 ÷ 40 = 19300
772000 ÷ 50 = 15440
772000 ÷ 80 = 9650
772000 ÷ 100 = 7720
772000 ÷ 125 = 6176
772000 ÷ 160 = 4825
772000 ÷ 193 = 4000
772000 ÷ 200 = 3860
772000 ÷ 250 = 3088
772000 ÷ 386 = 2000
772000 ÷ 400 = 1930
772000 ÷ 500 = 1544
772000 ÷ 772 = 1000
772000 ÷ 800 = 965
772000 ÷ 965 = 800
772000 ÷ 1000 = 772
772000 ÷ 1544 = 500
772000 ÷ 1930 = 400
772000 ÷ 2000 = 386
772000 ÷ 3088 = 250
772000 ÷ 3860 = 200
772000 ÷ 4000 = 193
772000 ÷ 4825 = 160
772000 ÷ 6176 = 125
772000 ÷ 7720 = 100
772000 ÷ 9650 = 80
772000 ÷ 15440 = 50
772000 ÷ 19300 = 40
772000 ÷ 24125 = 32
772000 ÷ 30880 = 25
772000 ÷ 38600 = 20
772000 ÷ 48250 = 16
772000 ÷ 77200 = 10
772000 ÷ 96500 = 8
772000 ÷ 154400 = 5
772000 ÷ 193000 = 4
772000 ÷ 386000 = 2
772000 ÷ 772000 = 1

As you can see, the factors of 772000 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 80 , 100 , 125 , 160 , 193 , 200 , 250 , 386 , 400 , 500 , 772 , 800 , 965 , 1000 , 1544 , 1930 , 2000 , 3088 , 3860 , 4000 , 4825 , 6176 , 7720 , 9650 , 15440 , 19300 , 24125 , 30880 , 38600 , 48250 , 77200 , 96500 , 154400 , 193000 , 386000 and 772000 .

## How many factors of 772000 are there ?

The factors of 772000 are the numbers that can evenly divide 772000 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 80 , 100 , 125 , 160 , 193 , 200 , 250 , 386 , 400 , 500 , 772 , 800 , 965 , 1000 , 1544 , 1930 , 2000 , 3088 , 3860 , 4000 , 4825 , 6176 , 7720 , 9650 , 15440 , 19300 , 24125 , 30880 , 38600 , 48250 , 77200 , 96500 , 154400 , 193000 , 386000 and 772000.

Thus, there are a total of 48 factors of 772000

## What are the factor pairs of 772000 ?

Factor Pairs of 772000 are combinations of two factors that when multiplied together equal 772000. There are many ways to calculate the factor pairs of 772000 .

One easy way is to list out the factors of 772000 :
1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 80 , 100 , 125 , 160 , 193 , 200 , 250 , 386 , 400 , 500 , 772 , 800 , 965 , 1000 , 1544 , 1930 , 2000 , 3088 , 3860 , 4000 , 4825 , 6176 , 7720 , 9650 , 15440 , 19300 , 24125 , 30880 , 38600 , 48250 , 77200 , 96500 , 154400 , 193000 , 386000 , 772000

Then, pair up the factors:
(1,772000),(2,386000),(4,193000),(5,154400),(8,96500),(10,77200),(16,48250),(20,38600),(25,30880),(32,24125),(40,19300),(50,15440),(80,9650),(100,7720),(125,6176),(160,4825),(193,4000),(200,3860),(250,3088),(386,2000),(400,1930),(500,1544),(772,1000) and (800,965) These are the factor pairs of 772000 .

## Prime Factorisation of 772000

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 772000 using a factor tree, we would start by writing 772000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 772000 would be 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 193.

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 772000 using this method, we keep dividing until it gives a non-zero remainder.

772000 ÷ 2 = 386000
386000 ÷ 2 = 193000
193000 ÷ 2 = 96500
96500 ÷ 2 = 48250
48250 ÷ 2 = 24125
24125 ÷ 5 = 4825
4825 ÷ 5 = 965
965 ÷ 5 = 193
193 ÷ 193 = 1

So the prime factors of 772000 are 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 193.

## Frequently Asked Questions on Factors

### What are all the factors of 772000 ?

The factors of 772000 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 80 , 100 , 125 , 160 , 193 , 200 , 250 , 386 , 400 , 500 , 772 , 800 , 965 , 1000 , 1544 , 1930 , 2000 , 3088 , 3860 , 4000 , 4825 , 6176 , 7720 , 9650 , 15440 , 19300 , 24125 , 30880 , 38600 , 48250 , 77200 , 96500 , 154400 , 193000 , 386000 and 772000.

### What is the prime factorization of 772000 ?

The prime factorization of 772000 is 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 193 or 25 x 53 x 1931, where 2 , 5 , 193 are the prime numbers .

### What are the prime factors of 772000 ?

The prime factors of 772000 are 2 , 5 , 193 .

### Is 772000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
772000 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 , 193 , 200 , 250 , 386 , 400 , 500 , 772 , 800 , 965 , 1000 , 1544 , 1930 , 2000 , 3088 , 3860 , 4000 , 4825 , 6176 , 7720 , 9650 , 15440 , 19300 , 24125 , 30880 , 38600 , 48250 , 77200 , 96500 , 154400 , 193000 , 386000 and 772000.