A:
Positive:
1 x 2232012237 x 3188588923 x 970440149 x 455512773 x 3057551161 x 1386343511 x 4367931127 x 1980491679 x 1329372713 x 822713577 x 6239911753 x 18991
Negative:
-1 x -223201223-7 x -31885889-23 x -9704401-49 x -4555127-73 x -3057551-161 x -1386343-511 x -436793-1127 x -198049-1679 x -132937-2713 x -82271-3577 x -62399-11753 x -18991
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 223,201,223, 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 | 223,201,223 | |
| -1 | -223,201,223 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 223,201,223.
Example:
1 x 223,201,223 = 223,201,223
and
-1 x -223,201,223 = 223,201,223
Notice both answers equal 223,201,223
With that explanation out of the way, let's continue. Next, we take the number 223,201,223 and divide it by 2:
223,201,223 ÷ 2 = 111,600,611.5
If the quotient is a whole number, then 2 and 111,600,611.5 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 | 223,201,223 | |
| -1 | -223,201,223 |
Now, we try dividing 223,201,223 by 3:
223,201,223 ÷ 3 = 74,400,407.6667
If the quotient is a whole number, then 3 and 74,400,407.6667 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 | 223,201,223 | |
| -1 | -223,201,223 |
Let's try dividing by 4:
223,201,223 ÷ 4 = 55,800,305.75
If the quotient is a whole number, then 4 and 55,800,305.75 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 | 223,201,223 | |
| -1 | 223,201,223 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 49 | 73 | 161 | 511 | 1,127 | 1,679 | 2,713 | 3,577 | 11,753 | 18,991 | 62,399 | 82,271 | 132,937 | 198,049 | 436,793 | 1,386,343 | 3,057,551 | 4,555,127 | 9,704,401 | 31,885,889 | 223,201,223 |
| -1 | -7 | -23 | -49 | -73 | -161 | -511 | -1,127 | -1,679 | -2,713 | -3,577 | -11,753 | -18,991 | -62,399 | -82,271 | -132,937 | -198,049 | -436,793 | -1,386,343 | -3,057,551 | -4,555,127 | -9,704,401 | -31,885,889 | -223,201,223 |
Here are some more numbers to try:
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