Q: What are the factor combinations of the number 20,323,331?

 A:
Positive:   1 x 203233317 x 290333319 x 106964941 x 495691133 x 152807287 x 70813779 x 260893727 x 5453
Negative: -1 x -20323331-7 x -2903333-19 x -1069649-41 x -495691-133 x -152807-287 x -70813-779 x -26089-3727 x -5453


How do I find the factor combinations of the number 20,323,331?

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 20,323,331, 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 20,323,331
-1 -20,323,331

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 20,323,331.

Example:
1 x 20,323,331 = 20,323,331
and
-1 x -20,323,331 = 20,323,331
Notice both answers equal 20,323,331

With that explanation out of the way, let's continue. Next, we take the number 20,323,331 and divide it by 2:

20,323,331 ÷ 2 = 10,161,665.5

If the quotient is a whole number, then 2 and 10,161,665.5 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 20,323,331
-1 -20,323,331

Now, we try dividing 20,323,331 by 3:

20,323,331 ÷ 3 = 6,774,443.6667

If the quotient is a whole number, then 3 and 6,774,443.6667 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 20,323,331
-1 -20,323,331

Let's try dividing by 4:

20,323,331 ÷ 4 = 5,080,832.75

If the quotient is a whole number, then 4 and 5,080,832.75 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 20,323,331
-1 20,323,331
Keep dividing by the next highest number until you cannot divide anymore.

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

1719411332877793,7275,45326,08970,813152,807495,6911,069,6492,903,33320,323,331
-1-7-19-41-133-287-779-3,727-5,453-26,089-70,813-152,807-495,691-1,069,649-2,903,333-20,323,331

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