Q: What are the factor combinations of the number 20,321,399?

 A:
Positive:   1 x 203213997 x 290305731 x 65552937 x 549227217 x 93647259 x 784611147 x 177172531 x 8029
Negative: -1 x -20321399-7 x -2903057-31 x -655529-37 x -549227-217 x -93647-259 x -78461-1147 x -17717-2531 x -8029


How do I find the factor combinations of the number 20,321,399?

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 20,321,399, 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 20,321,399
-1 -20,321,399

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 20,321,399.

Example:
1 x 20,321,399 = 20,321,399
and
-1 x -20,321,399 = 20,321,399
Notice both answers equal 20,321,399

With that explanation out of the way, let's continue. Next, we take the number 20,321,399 and divide it by 2:

20,321,399 ÷ 2 = 10,160,699.5

If the quotient is a whole number, then 2 and 10,160,699.5 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 20,321,399
-1 -20,321,399

Now, we try dividing 20,321,399 by 3:

20,321,399 ÷ 3 = 6,773,799.6667

If the quotient is a whole number, then 3 and 6,773,799.6667 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 20,321,399
-1 -20,321,399

Let's try dividing by 4:

20,321,399 ÷ 4 = 5,080,349.75

If the quotient is a whole number, then 4 and 5,080,349.75 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 20,321,399
-1 20,321,399
Keep dividing by the next highest number until you cannot divide anymore.

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

1731372172591,1472,5318,02917,71778,46193,647549,227655,5292,903,05720,321,399
-1-7-31-37-217-259-1,147-2,531-8,029-17,717-78,461-93,647-549,227-655,529-2,903,057-20,321,399

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 20,321,399:


Ask a Question