Q: What are the factor combinations of the number 222,513,425?

 A:
Positive:   1 x 2225134255 x 4450268517 x 1308902525 x 890053785 x 2617805383 x 580975425 x 5235611367 x 1627751915 x 1161956511 x 341756835 x 325559575 x 23239
Negative: -1 x -222513425-5 x -44502685-17 x -13089025-25 x -8900537-85 x -2617805-383 x -580975-425 x -523561-1367 x -162775-1915 x -116195-6511 x -34175-6835 x -32555-9575 x -23239


How do I find the factor combinations of the number 222,513,425?

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 222,513,425, 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.

1 222,513,425
-1 -222,513,425

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 222,513,425.

Example:
1 x 222,513,425 = 222,513,425
and
-1 x -222,513,425 = 222,513,425
Notice both answers equal 222,513,425

With that explanation out of the way, let's continue. Next, we take the number 222,513,425 and divide it by 2:

222,513,425 ÷ 2 = 111,256,712.5

If the quotient is a whole number, then 2 and 111,256,712.5 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:

1 222,513,425
-1 -222,513,425

Now, we try dividing 222,513,425 by 3:

222,513,425 ÷ 3 = 74,171,141.6667

If the quotient is a whole number, then 3 and 74,171,141.6667 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:

1 222,513,425
-1 -222,513,425

Let's try dividing by 4:

222,513,425 ÷ 4 = 55,628,356.25

If the quotient is a whole number, then 4 and 55,628,356.25 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:

1 222,513,425
-1 222,513,425
Keep dividing by the next highest number until you cannot divide anymore.

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

151725853834251,3671,9156,5116,8359,57523,23932,55534,175116,195162,775523,561580,9752,617,8058,900,53713,089,02544,502,685222,513,425
-1-5-17-25-85-383-425-1,367-1,915-6,511-6,835-9,575-23,239-32,555-34,175-116,195-162,775-523,561-580,975-2,617,805-8,900,537-13,089,025-44,502,685-222,513,425

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