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

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.

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 .

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

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 .

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.

998000 in French

998000 in English