Q: What are the factor combinations of the number 18,450,983?

 A:
Positive:   1 x 1845098331 x 59519371 x 25987383 x 222301101 x 1826832201 x 83832573 x 71713131 x 5893
Negative: -1 x -18450983-31 x -595193-71 x -259873-83 x -222301-101 x -182683-2201 x -8383-2573 x -7171-3131 x -5893


How do I find the factor combinations of the number 18,450,983?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 18,450,983, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 18,450,983
-1 -18,450,983

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 18,450,983.

Example:
1 x 18,450,983 = 18,450,983
and
-1 x -18,450,983 = 18,450,983
Notice both answers equal 18,450,983

With that explanation out of the way, let's continue. Next, we take the number 18,450,983 and divide it by 2:

18,450,983 ÷ 2 = 9,225,491.5

If the quotient is a whole number, then 2 and 9,225,491.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 18,450,983
-1 -18,450,983

Now, we try dividing 18,450,983 by 3:

18,450,983 ÷ 3 = 6,150,327.6667

If the quotient is a whole number, then 3 and 6,150,327.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 18,450,983
-1 -18,450,983

Let's try dividing by 4:

18,450,983 ÷ 4 = 4,612,745.75

If the quotient is a whole number, then 4 and 4,612,745.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 18,450,983
-1 18,450,983
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

13171831012,2012,5733,1315,8937,1718,383182,683222,301259,873595,19318,450,983
-1-31-71-83-101-2,201-2,573-3,131-5,893-7,171-8,383-182,683-222,301-259,873-595,193-18,450,983

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