Q: What are the factor combinations of the number 201,220,327?

 A:
Positive:   1 x 2012203277 x 2874576111 x 1829275777 x 26132511451 x 1386771801 x 11172710157 x 1981112607 x 15961
Negative: -1 x -201220327-7 x -28745761-11 x -18292757-77 x -2613251-1451 x -138677-1801 x -111727-10157 x -19811-12607 x -15961


How do I find the factor combinations of the number 201,220,327?

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 201,220,327, 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.

1 201,220,327
-1 -201,220,327

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 201,220,327.

Example:
1 x 201,220,327 = 201,220,327
and
-1 x -201,220,327 = 201,220,327
Notice both answers equal 201,220,327

With that explanation out of the way, let's continue. Next, we take the number 201,220,327 and divide it by 2:

201,220,327 ÷ 2 = 100,610,163.5

If the quotient is a whole number, then 2 and 100,610,163.5 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:

1 201,220,327
-1 -201,220,327

Now, we try dividing 201,220,327 by 3:

201,220,327 ÷ 3 = 67,073,442.3333

If the quotient is a whole number, then 3 and 67,073,442.3333 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:

1 201,220,327
-1 -201,220,327

Let's try dividing by 4:

201,220,327 ÷ 4 = 50,305,081.75

If the quotient is a whole number, then 4 and 50,305,081.75 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:

1 201,220,327
-1 201,220,327
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771,4511,80110,15712,60715,96119,811111,727138,6772,613,25118,292,75728,745,761201,220,327
-1-7-11-77-1,451-1,801-10,157-12,607-15,961-19,811-111,727-138,677-2,613,251-18,292,757-28,745,761-201,220,327

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 201,220,327:


Ask a Question