# What are all the factors, the prime factorization, and factor pairs of 998000?

To find the factors of 998000, divide 998000 by each number starting with 1 and working up to 998000

## 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 998000 ?

To calculate the factors of 998000 , you can use the division method.

1. Begin by dividing 998000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 998000.

3. Continue dividing 998000 by larger numbers until you find an odd number that does not divide evenly into 998000 .

4. The numbers that divide evenly into 998000 are the factors of 998000 .

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

998000 ÷ 1 = 998000
998000 ÷ 2 = 499000
998000 ÷ 4 = 249500
998000 ÷ 5 = 199600
998000 ÷ 8 = 124750
998000 ÷ 10 = 99800
998000 ÷ 16 = 62375
998000 ÷ 20 = 49900
998000 ÷ 25 = 39920
998000 ÷ 40 = 24950
998000 ÷ 50 = 19960
998000 ÷ 80 = 12475
998000 ÷ 100 = 9980
998000 ÷ 125 = 7984
998000 ÷ 200 = 4990
998000 ÷ 250 = 3992
998000 ÷ 400 = 2495
998000 ÷ 499 = 2000
998000 ÷ 500 = 1996
998000 ÷ 998 = 1000
998000 ÷ 1000 = 998
998000 ÷ 1996 = 500
998000 ÷ 2000 = 499
998000 ÷ 2495 = 400
998000 ÷ 3992 = 250
998000 ÷ 4990 = 200
998000 ÷ 7984 = 125
998000 ÷ 9980 = 100
998000 ÷ 12475 = 80
998000 ÷ 19960 = 50
998000 ÷ 24950 = 40
998000 ÷ 39920 = 25
998000 ÷ 49900 = 20
998000 ÷ 62375 = 16
998000 ÷ 99800 = 10
998000 ÷ 124750 = 8
998000 ÷ 199600 = 5
998000 ÷ 249500 = 4
998000 ÷ 499000 = 2
998000 ÷ 998000 = 1

As you can see, the factors of 998000 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 40 , 50 , 80 , 100 , 125 , 200 , 250 , 400 , 499 , 500 , 998 , 1000 , 1996 , 2000 , 2495 , 3992 , 4990 , 7984 , 9980 , 12475 , 19960 , 24950 , 39920 , 49900 , 62375 , 99800 , 124750 , 199600 , 249500 , 499000 and 998000 .

## How many factors of 998000 are there ?

The factors of 998000 are the numbers that can evenly divide 998000 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 40 , 50 , 80 , 100 , 125 , 200 , 250 , 400 , 499 , 500 , 998 , 1000 , 1996 , 2000 , 2495 , 3992 , 4990 , 7984 , 9980 , 12475 , 19960 , 24950 , 39920 , 49900 , 62375 , 99800 , 124750 , 199600 , 249500 , 499000 and 998000.

Thus, there are a total of 40 factors of 998000

## What are the factor pairs of 998000 ?

Factor Pairs of 998000 are combinations of two factors that when multiplied together equal 998000. There are many ways to calculate the factor pairs of 998000 .

One easy way is to list out the factors of 998000 :
1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 40 , 50 , 80 , 100 , 125 , 200 , 250 , 400 , 499 , 500 , 998 , 1000 , 1996 , 2000 , 2495 , 3992 , 4990 , 7984 , 9980 , 12475 , 19960 , 24950 , 39920 , 49900 , 62375 , 99800 , 124750 , 199600 , 249500 , 499000 , 998000

Then, pair up the factors:
(1,998000),(2,499000),(4,249500),(5,199600),(8,124750),(10,99800),(16,62375),(20,49900),(25,39920),(40,24950),(50,19960),(80,12475),(100,9980),(125,7984),(200,4990),(250,3992),(400,2495),(499,2000),(500,1996) and (998,1000) These are the factor pairs of 998000 .

## Prime Factorisation of 998000

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 998000 using a factor tree, we would start by writing 998000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 998000 would be 2 x 2 x 2 x 2 x 5 x 5 x 5 x 499.

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 998000 using this method, we keep dividing until it gives a non-zero remainder.

998000 ÷ 2 = 499000
499000 ÷ 2 = 249500
249500 ÷ 2 = 124750
124750 ÷ 2 = 62375
62375 ÷ 5 = 12475
12475 ÷ 5 = 2495
2495 ÷ 5 = 499
499 ÷ 499 = 1

So the prime factors of 998000 are 2 x 2 x 2 x 2 x 5 x 5 x 5 x 499.

## Frequently Asked Questions on Factors

### What are all the factors of 998000 ?

The factors of 998000 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 40 , 50 , 80 , 100 , 125 , 200 , 250 , 400 , 499 , 500 , 998 , 1000 , 1996 , 2000 , 2495 , 3992 , 4990 , 7984 , 9980 , 12475 , 19960 , 24950 , 39920 , 49900 , 62375 , 99800 , 124750 , 199600 , 249500 , 499000 and 998000.

### What is the prime factorization of 998000 ?

The prime factorization of 998000 is 2 x 2 x 2 x 2 x 5 x 5 x 5 x 499 or 24 x 53 x 4991, where 2 , 5 , 499 are the prime numbers .

### What are the prime factors of 998000 ?

The prime factors of 998000 are 2 , 5 , 499 .

### Is 998000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
998000 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 , 499 , 500 , 998 , 1000 , 1996 , 2000 , 2495 , 3992 , 4990 , 7984 , 9980 , 12475 , 19960 , 24950 , 39920 , 49900 , 62375 , 99800 , 124750 , 199600 , 249500 , 499000 and 998000.