A:
Positive:
1 x 313101537 x 447287923 x 1361311113 x 277081161 x 194473791 x 395831721 x 181932599 x 12047
Negative:
-1 x -31310153-7 x -4472879-23 x -1361311-113 x -277081-161 x -194473-791 x -39583-1721 x -18193-2599 x -12047
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 31,310,153, 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 | 31,310,153 | |
| -1 | -31,310,153 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,310,153.
Example:
1 x 31,310,153 = 31,310,153
and
-1 x -31,310,153 = 31,310,153
Notice both answers equal 31,310,153
With that explanation out of the way, let's continue. Next, we take the number 31,310,153 and divide it by 2:
31,310,153 ÷ 2 = 15,655,076.5
If the quotient is a whole number, then 2 and 15,655,076.5 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 | 31,310,153 | |
| -1 | -31,310,153 |
Now, we try dividing 31,310,153 by 3:
31,310,153 ÷ 3 = 10,436,717.6667
If the quotient is a whole number, then 3 and 10,436,717.6667 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 | 31,310,153 | |
| -1 | -31,310,153 |
Let's try dividing by 4:
31,310,153 ÷ 4 = 7,827,538.25
If the quotient is a whole number, then 4 and 7,827,538.25 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 | 31,310,153 | |
| -1 | 31,310,153 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 113 | 161 | 791 | 1,721 | 2,599 | 12,047 | 18,193 | 39,583 | 194,473 | 277,081 | 1,361,311 | 4,472,879 | 31,310,153 |
| -1 | -7 | -23 | -113 | -161 | -791 | -1,721 | -2,599 | -12,047 | -18,193 | -39,583 | -194,473 | -277,081 | -1,361,311 | -4,472,879 | -31,310,153 |
Here are some more numbers to try:
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