# What are all the factors, the prime factorization, and factor pairs of 982000?

To find the factors of 982000, divide 982000 by each number starting with 1 and working up to 982000

## 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 982000 ?

To calculate the factors of 982000 , you can use the division method.

1. Begin by dividing 982000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 982000.

3. Continue dividing 982000 by larger numbers until you find an odd number that does not divide evenly into 982000 .

4. The numbers that divide evenly into 982000 are the factors of 982000 .

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

982000 ÷ 1 = 982000
982000 ÷ 2 = 491000
982000 ÷ 4 = 245500
982000 ÷ 5 = 196400
982000 ÷ 8 = 122750
982000 ÷ 10 = 98200
982000 ÷ 16 = 61375
982000 ÷ 20 = 49100
982000 ÷ 25 = 39280
982000 ÷ 40 = 24550
982000 ÷ 50 = 19640
982000 ÷ 80 = 12275
982000 ÷ 100 = 9820
982000 ÷ 125 = 7856
982000 ÷ 200 = 4910
982000 ÷ 250 = 3928
982000 ÷ 400 = 2455
982000 ÷ 491 = 2000
982000 ÷ 500 = 1964
982000 ÷ 982 = 1000
982000 ÷ 1000 = 982
982000 ÷ 1964 = 500
982000 ÷ 2000 = 491
982000 ÷ 2455 = 400
982000 ÷ 3928 = 250
982000 ÷ 4910 = 200
982000 ÷ 7856 = 125
982000 ÷ 9820 = 100
982000 ÷ 12275 = 80
982000 ÷ 19640 = 50
982000 ÷ 24550 = 40
982000 ÷ 39280 = 25
982000 ÷ 49100 = 20
982000 ÷ 61375 = 16
982000 ÷ 98200 = 10
982000 ÷ 122750 = 8
982000 ÷ 196400 = 5
982000 ÷ 245500 = 4
982000 ÷ 491000 = 2
982000 ÷ 982000 = 1

As you can see, the factors of 982000 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 40 , 50 , 80 , 100 , 125 , 200 , 250 , 400 , 491 , 500 , 982 , 1000 , 1964 , 2000 , 2455 , 3928 , 4910 , 7856 , 9820 , 12275 , 19640 , 24550 , 39280 , 49100 , 61375 , 98200 , 122750 , 196400 , 245500 , 491000 and 982000 .

## How many factors of 982000 are there ?

The factors of 982000 are the numbers that can evenly divide 982000 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 40 , 50 , 80 , 100 , 125 , 200 , 250 , 400 , 491 , 500 , 982 , 1000 , 1964 , 2000 , 2455 , 3928 , 4910 , 7856 , 9820 , 12275 , 19640 , 24550 , 39280 , 49100 , 61375 , 98200 , 122750 , 196400 , 245500 , 491000 and 982000.

Thus, there are a total of 40 factors of 982000

## What are the factor pairs of 982000 ?

Factor Pairs of 982000 are combinations of two factors that when multiplied together equal 982000. There are many ways to calculate the factor pairs of 982000 .

One easy way is to list out the factors of 982000 :
1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 40 , 50 , 80 , 100 , 125 , 200 , 250 , 400 , 491 , 500 , 982 , 1000 , 1964 , 2000 , 2455 , 3928 , 4910 , 7856 , 9820 , 12275 , 19640 , 24550 , 39280 , 49100 , 61375 , 98200 , 122750 , 196400 , 245500 , 491000 , 982000

Then, pair up the factors:
(1,982000),(2,491000),(4,245500),(5,196400),(8,122750),(10,98200),(16,61375),(20,49100),(25,39280),(40,24550),(50,19640),(80,12275),(100,9820),(125,7856),(200,4910),(250,3928),(400,2455),(491,2000),(500,1964) and (982,1000) These are the factor pairs of 982000 .

## Prime Factorisation of 982000

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 982000 using a factor tree, we would start by writing 982000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 982000 would be 2 x 2 x 2 x 2 x 5 x 5 x 5 x 491.

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 982000 using this method, we keep dividing until it gives a non-zero remainder.

982000 ÷ 2 = 491000
491000 ÷ 2 = 245500
245500 ÷ 2 = 122750
122750 ÷ 2 = 61375
61375 ÷ 5 = 12275
12275 ÷ 5 = 2455
2455 ÷ 5 = 491
491 ÷ 491 = 1

So the prime factors of 982000 are 2 x 2 x 2 x 2 x 5 x 5 x 5 x 491.

## Frequently Asked Questions on Factors

### What are all the factors of 982000 ?

The factors of 982000 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 40 , 50 , 80 , 100 , 125 , 200 , 250 , 400 , 491 , 500 , 982 , 1000 , 1964 , 2000 , 2455 , 3928 , 4910 , 7856 , 9820 , 12275 , 19640 , 24550 , 39280 , 49100 , 61375 , 98200 , 122750 , 196400 , 245500 , 491000 and 982000.

### What is the prime factorization of 982000 ?

The prime factorization of 982000 is 2 x 2 x 2 x 2 x 5 x 5 x 5 x 491 or 24 x 53 x 4911, where 2 , 5 , 491 are the prime numbers .

### What are the prime factors of 982000 ?

The prime factors of 982000 are 2 , 5 , 491 .

### Is 982000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
982000 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 40 , 50 , 80 , 100 , 125 , 200 , 250 , 400 , 491 , 500 , 982 , 1000 , 1964 , 2000 , 2455 , 3928 , 4910 , 7856 , 9820 , 12275 , 19640 , 24550 , 39280 , 49100 , 61375 , 98200 , 122750 , 196400 , 245500 , 491000 and 982000.