Q: What are the factor combinations of the number 20,084,327?

 A:
Positive:   1 x 2008432717 x 118143129 x 692563493 x 40739
Negative: -1 x -20084327-17 x -1181431-29 x -692563-493 x -40739


How do I find the factor combinations of the number 20,084,327?

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 20,084,327, 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 20,084,327
-1 -20,084,327

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 20,084,327.

Example:
1 x 20,084,327 = 20,084,327
and
-1 x -20,084,327 = 20,084,327
Notice both answers equal 20,084,327

With that explanation out of the way, let's continue. Next, we take the number 20,084,327 and divide it by 2:

20,084,327 ÷ 2 = 10,042,163.5

If the quotient is a whole number, then 2 and 10,042,163.5 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 20,084,327
-1 -20,084,327

Now, we try dividing 20,084,327 by 3:

20,084,327 ÷ 3 = 6,694,775.6667

If the quotient is a whole number, then 3 and 6,694,775.6667 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 20,084,327
-1 -20,084,327

Let's try dividing by 4:

20,084,327 ÷ 4 = 5,021,081.75

If the quotient is a whole number, then 4 and 5,021,081.75 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 20,084,327
-1 20,084,327
Keep dividing by the next highest number until you cannot divide anymore.

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

1172949340,739692,5631,181,43120,084,327
-1-17-29-493-40,739-692,563-1,181,431-20,084,327

More Examples

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