A:
Positive:
1 x 3104221913 x 238786319 x 1633801109 x 284791247 x 1256771153 x 269231417 x 219072071 x 14989
Negative:
-1 x -31042219-13 x -2387863-19 x -1633801-109 x -284791-247 x -125677-1153 x -26923-1417 x -21907-2071 x -14989
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 31,042,219, 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 | 31,042,219 | |
| -1 | -31,042,219 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,042,219.
Example:
1 x 31,042,219 = 31,042,219
and
-1 x -31,042,219 = 31,042,219
Notice both answers equal 31,042,219
With that explanation out of the way, let's continue. Next, we take the number 31,042,219 and divide it by 2:
31,042,219 ÷ 2 = 15,521,109.5
If the quotient is a whole number, then 2 and 15,521,109.5 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 | 31,042,219 | |
| -1 | -31,042,219 |
Now, we try dividing 31,042,219 by 3:
31,042,219 ÷ 3 = 10,347,406.3333
If the quotient is a whole number, then 3 and 10,347,406.3333 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 | 31,042,219 | |
| -1 | -31,042,219 |
Let's try dividing by 4:
31,042,219 ÷ 4 = 7,760,554.75
If the quotient is a whole number, then 4 and 7,760,554.75 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 | 31,042,219 | |
| -1 | 31,042,219 |
If you did it right, you will end up with this table:
| 1 | 13 | 19 | 109 | 247 | 1,153 | 1,417 | 2,071 | 14,989 | 21,907 | 26,923 | 125,677 | 284,791 | 1,633,801 | 2,387,863 | 31,042,219 |
| -1 | -13 | -19 | -109 | -247 | -1,153 | -1,417 | -2,071 | -14,989 | -21,907 | -26,923 | -125,677 | -284,791 | -1,633,801 | -2,387,863 | -31,042,219 |
Here are some more numbers to try:
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