A:
Positive:
1 x 2231211297 x 3187444711 x 2028373977 x 28976771217 x 1833372381 x 937098519 x 2619113387 x 16667
Negative:
-1 x -223121129-7 x -31874447-11 x -20283739-77 x -2897677-1217 x -183337-2381 x -93709-8519 x -26191-13387 x -16667
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 223,121,129, 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 | 223,121,129 | |
| -1 | -223,121,129 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 223,121,129.
Example:
1 x 223,121,129 = 223,121,129
and
-1 x -223,121,129 = 223,121,129
Notice both answers equal 223,121,129
With that explanation out of the way, let's continue. Next, we take the number 223,121,129 and divide it by 2:
223,121,129 ÷ 2 = 111,560,564.5
If the quotient is a whole number, then 2 and 111,560,564.5 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 | 223,121,129 | |
| -1 | -223,121,129 |
Now, we try dividing 223,121,129 by 3:
223,121,129 ÷ 3 = 74,373,709.6667
If the quotient is a whole number, then 3 and 74,373,709.6667 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 | 223,121,129 | |
| -1 | -223,121,129 |
Let's try dividing by 4:
223,121,129 ÷ 4 = 55,780,282.25
If the quotient is a whole number, then 4 and 55,780,282.25 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 | 223,121,129 | |
| -1 | 223,121,129 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 1,217 | 2,381 | 8,519 | 13,387 | 16,667 | 26,191 | 93,709 | 183,337 | 2,897,677 | 20,283,739 | 31,874,447 | 223,121,129 |
| -1 | -7 | -11 | -77 | -1,217 | -2,381 | -8,519 | -13,387 | -16,667 | -26,191 | -93,709 | -183,337 | -2,897,677 | -20,283,739 | -31,874,447 | -223,121,129 |
Here are some more numbers to try:
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