A:
Positive:
1 x 3122302313 x 240177119 x 164331783 x 376181247 x 1264091079 x 289371523 x 205011577 x 19799
Negative:
-1 x -31223023-13 x -2401771-19 x -1643317-83 x -376181-247 x -126409-1079 x -28937-1523 x -20501-1577 x -19799
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 31,223,023, 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 | 31,223,023 | |
| -1 | -31,223,023 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,223,023.
Example:
1 x 31,223,023 = 31,223,023
and
-1 x -31,223,023 = 31,223,023
Notice both answers equal 31,223,023
With that explanation out of the way, let's continue. Next, we take the number 31,223,023 and divide it by 2:
31,223,023 ÷ 2 = 15,611,511.5
If the quotient is a whole number, then 2 and 15,611,511.5 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 | 31,223,023 | |
| -1 | -31,223,023 |
Now, we try dividing 31,223,023 by 3:
31,223,023 ÷ 3 = 10,407,674.3333
If the quotient is a whole number, then 3 and 10,407,674.3333 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 | 31,223,023 | |
| -1 | -31,223,023 |
Let's try dividing by 4:
31,223,023 ÷ 4 = 7,805,755.75
If the quotient is a whole number, then 4 and 7,805,755.75 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 | 31,223,023 | |
| -1 | 31,223,023 |
If you did it right, you will end up with this table:
| 1 | 13 | 19 | 83 | 247 | 1,079 | 1,523 | 1,577 | 19,799 | 20,501 | 28,937 | 126,409 | 376,181 | 1,643,317 | 2,401,771 | 31,223,023 |
| -1 | -13 | -19 | -83 | -247 | -1,079 | -1,523 | -1,577 | -19,799 | -20,501 | -28,937 | -126,409 | -376,181 | -1,643,317 | -2,401,771 | -31,223,023 |
Here are some more numbers to try:
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