A:
Positive:
1 x 22221122313 x 17093171113 x 1966471331 x 671333457 x 4862391469 x 1512674303 x 516415941 x 37403
Negative:
-1 x -222211223-13 x -17093171-113 x -1966471-331 x -671333-457 x -486239-1469 x -151267-4303 x -51641-5941 x -37403
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 222,211,223, it is easier to work with a table - it's called factoring from the outside in.
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 | 222,211,223 | |
| -1 | -222,211,223 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 222,211,223.
Example:
1 x 222,211,223 = 222,211,223
and
-1 x -222,211,223 = 222,211,223
Notice both answers equal 222,211,223
With that explanation out of the way, let's continue. Next, we take the number 222,211,223 and divide it by 2:
222,211,223 ÷ 2 = 111,105,611.5
If the quotient is a whole number, then 2 and 111,105,611.5 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 | 222,211,223 | |
| -1 | -222,211,223 |
Now, we try dividing 222,211,223 by 3:
222,211,223 ÷ 3 = 74,070,407.6667
If the quotient is a whole number, then 3 and 74,070,407.6667 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 | 222,211,223 | |
| -1 | -222,211,223 |
Let's try dividing by 4:
222,211,223 ÷ 4 = 55,552,805.75
If the quotient is a whole number, then 4 and 55,552,805.75 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 | 222,211,223 | |
| -1 | 222,211,223 |
If you did it right, you will end up with this table:
| 1 | 13 | 113 | 331 | 457 | 1,469 | 4,303 | 5,941 | 37,403 | 51,641 | 151,267 | 486,239 | 671,333 | 1,966,471 | 17,093,171 | 222,211,223 |
| -1 | -13 | -113 | -331 | -457 | -1,469 | -4,303 | -5,941 | -37,403 | -51,641 | -151,267 | -486,239 | -671,333 | -1,966,471 | -17,093,171 | -222,211,223 |
Here are some more numbers to try:
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