Q: What are the factor combinations of the number 222,006,317?

 A:
Positive:   1 x 22200631713 x 1707740919 x 1168454389 x 2494453247 x 8988111157 x 1918811691 x 13128710099 x 21983
Negative: -1 x -222006317-13 x -17077409-19 x -11684543-89 x -2494453-247 x -898811-1157 x -191881-1691 x -131287-10099 x -21983


How do I find the factor combinations of the number 222,006,317?

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 222,006,317, 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.

1 222,006,317
-1 -222,006,317

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 222,006,317.

Example:
1 x 222,006,317 = 222,006,317
and
-1 x -222,006,317 = 222,006,317
Notice both answers equal 222,006,317

With that explanation out of the way, let's continue. Next, we take the number 222,006,317 and divide it by 2:

222,006,317 ÷ 2 = 111,003,158.5

If the quotient is a whole number, then 2 and 111,003,158.5 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:

1 222,006,317
-1 -222,006,317

Now, we try dividing 222,006,317 by 3:

222,006,317 ÷ 3 = 74,002,105.6667

If the quotient is a whole number, then 3 and 74,002,105.6667 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:

1 222,006,317
-1 -222,006,317

Let's try dividing by 4:

222,006,317 ÷ 4 = 55,501,579.25

If the quotient is a whole number, then 4 and 55,501,579.25 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:

1 222,006,317
-1 222,006,317
Keep dividing by the next highest number until you cannot divide anymore.

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

11319892471,1571,69110,09921,983131,287191,881898,8112,494,45311,684,54317,077,409222,006,317
-1-13-19-89-247-1,157-1,691-10,099-21,983-131,287-191,881-898,811-2,494,453-11,684,543-17,077,409-222,006,317

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