Q: What are the factor combinations of the number 222,012,131?

 A:
Positive:   1 x 22201213111 x 2018292119 x 11684849121 x 1834811209 x 10622591331 x 1668012299 x 965698779 x 25289
Negative: -1 x -222012131-11 x -20182921-19 x -11684849-121 x -1834811-209 x -1062259-1331 x -166801-2299 x -96569-8779 x -25289


How do I find the factor combinations of the number 222,012,131?

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 222,012,131, 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.

1 222,012,131
-1 -222,012,131

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 222,012,131.

Example:
1 x 222,012,131 = 222,012,131
and
-1 x -222,012,131 = 222,012,131
Notice both answers equal 222,012,131

With that explanation out of the way, let's continue. Next, we take the number 222,012,131 and divide it by 2:

222,012,131 ÷ 2 = 111,006,065.5

If the quotient is a whole number, then 2 and 111,006,065.5 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:

1 222,012,131
-1 -222,012,131

Now, we try dividing 222,012,131 by 3:

222,012,131 ÷ 3 = 74,004,043.6667

If the quotient is a whole number, then 3 and 74,004,043.6667 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:

1 222,012,131
-1 -222,012,131

Let's try dividing by 4:

222,012,131 ÷ 4 = 55,503,032.75

If the quotient is a whole number, then 4 and 55,503,032.75 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:

1 222,012,131
-1 222,012,131
Keep dividing by the next highest number until you cannot divide anymore.

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

111191212091,3312,2998,77925,28996,569166,8011,062,2591,834,81111,684,84920,182,921222,012,131
-1-11-19-121-209-1,331-2,299-8,779-25,289-96,569-166,801-1,062,259-1,834,811-11,684,849-20,182,921-222,012,131

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