Q: What are the factor combinations of the number 200,223,331?

 A:
Positive:   1 x 2002233317 x 2860333311 x 1820212117 x 1177784377 x 2600303119 x 1682549187 x 10707131309 x 152959
Negative: -1 x -200223331-7 x -28603333-11 x -18202121-17 x -11777843-77 x -2600303-119 x -1682549-187 x -1070713-1309 x -152959


How do I find the factor combinations of the number 200,223,331?

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 200,223,331, 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.

1 200,223,331
-1 -200,223,331

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 200,223,331.

Example:
1 x 200,223,331 = 200,223,331
and
-1 x -200,223,331 = 200,223,331
Notice both answers equal 200,223,331

With that explanation out of the way, let's continue. Next, we take the number 200,223,331 and divide it by 2:

200,223,331 ÷ 2 = 100,111,665.5

If the quotient is a whole number, then 2 and 100,111,665.5 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:

1 200,223,331
-1 -200,223,331

Now, we try dividing 200,223,331 by 3:

200,223,331 ÷ 3 = 66,741,110.3333

If the quotient is a whole number, then 3 and 66,741,110.3333 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:

1 200,223,331
-1 -200,223,331

Let's try dividing by 4:

200,223,331 ÷ 4 = 50,055,832.75

If the quotient is a whole number, then 4 and 50,055,832.75 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:

1 200,223,331
-1 200,223,331
Keep dividing by the next highest number until you cannot divide anymore.

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

171117771191871,309152,9591,070,7131,682,5492,600,30311,777,84318,202,12128,603,333200,223,331
-1-7-11-17-77-119-187-1,309-152,959-1,070,713-1,682,549-2,600,303-11,777,843-18,202,121-28,603,333-200,223,331

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