A:
Positive:
1 x 311230155 x 62246037 x 444614511 x 282936535 x 88922955 x 56587377 x 404195121 x 257215385 x 80839605 x 51443847 x 367454235 x 7349
Negative:
-1 x -31123015-5 x -6224603-7 x -4446145-11 x -2829365-35 x -889229-55 x -565873-77 x -404195-121 x -257215-385 x -80839-605 x -51443-847 x -36745-4235 x -7349
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 31,123,015, 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 | 31,123,015 | |
| -1 | -31,123,015 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,123,015.
Example:
1 x 31,123,015 = 31,123,015
and
-1 x -31,123,015 = 31,123,015
Notice both answers equal 31,123,015
With that explanation out of the way, let's continue. Next, we take the number 31,123,015 and divide it by 2:
31,123,015 ÷ 2 = 15,561,507.5
If the quotient is a whole number, then 2 and 15,561,507.5 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 | 31,123,015 | |
| -1 | -31,123,015 |
Now, we try dividing 31,123,015 by 3:
31,123,015 ÷ 3 = 10,374,338.3333
If the quotient is a whole number, then 3 and 10,374,338.3333 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 | 31,123,015 | |
| -1 | -31,123,015 |
Let's try dividing by 4:
31,123,015 ÷ 4 = 7,780,753.75
If the quotient is a whole number, then 4 and 7,780,753.75 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 | 31,123,015 | |
| -1 | 31,123,015 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 11 | 35 | 55 | 77 | 121 | 385 | 605 | 847 | 4,235 | 7,349 | 36,745 | 51,443 | 80,839 | 257,215 | 404,195 | 565,873 | 889,229 | 2,829,365 | 4,446,145 | 6,224,603 | 31,123,015 |
| -1 | -5 | -7 | -11 | -35 | -55 | -77 | -121 | -385 | -605 | -847 | -4,235 | -7,349 | -36,745 | -51,443 | -80,839 | -257,215 | -404,195 | -565,873 | -889,229 | -2,829,365 | -4,446,145 | -6,224,603 | -31,123,015 |
Here are some more numbers to try:
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