Q: What are the factor combinations of the number 20,083,613?

 A:
Positive:   1 x 2008361311 x 182578317 x 1181389187 x 107399211 x 95183509 x 394572321 x 86533587 x 5599
Negative: -1 x -20083613-11 x -1825783-17 x -1181389-187 x -107399-211 x -95183-509 x -39457-2321 x -8653-3587 x -5599


How do I find the factor combinations of the number 20,083,613?

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 20,083,613, 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 20,083,613
-1 -20,083,613

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 20,083,613.

Example:
1 x 20,083,613 = 20,083,613
and
-1 x -20,083,613 = 20,083,613
Notice both answers equal 20,083,613

With that explanation out of the way, let's continue. Next, we take the number 20,083,613 and divide it by 2:

20,083,613 ÷ 2 = 10,041,806.5

If the quotient is a whole number, then 2 and 10,041,806.5 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 20,083,613
-1 -20,083,613

Now, we try dividing 20,083,613 by 3:

20,083,613 ÷ 3 = 6,694,537.6667

If the quotient is a whole number, then 3 and 6,694,537.6667 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 20,083,613
-1 -20,083,613

Let's try dividing by 4:

20,083,613 ÷ 4 = 5,020,903.25

If the quotient is a whole number, then 4 and 5,020,903.25 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 20,083,613
-1 20,083,613
Keep dividing by the next highest number until you cannot divide anymore.

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

111171872115092,3213,5875,5998,65339,45795,183107,3991,181,3891,825,78320,083,613
-1-11-17-187-211-509-2,321-3,587-5,599-8,653-39,457-95,183-107,399-1,181,389-1,825,783-20,083,613

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