A:
Positive:
1 x 312231017 x 446044313 x 240177717 x 183665391 x 343111119 x 262379221 x 1412811547 x 20183
Negative:
-1 x -31223101-7 x -4460443-13 x -2401777-17 x -1836653-91 x -343111-119 x -262379-221 x -141281-1547 x -20183
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 31,223,101, 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 | 31,223,101 | |
| -1 | -31,223,101 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,223,101.
Example:
1 x 31,223,101 = 31,223,101
and
-1 x -31,223,101 = 31,223,101
Notice both answers equal 31,223,101
With that explanation out of the way, let's continue. Next, we take the number 31,223,101 and divide it by 2:
31,223,101 ÷ 2 = 15,611,550.5
If the quotient is a whole number, then 2 and 15,611,550.5 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 | 31,223,101 | |
| -1 | -31,223,101 |
Now, we try dividing 31,223,101 by 3:
31,223,101 ÷ 3 = 10,407,700.3333
If the quotient is a whole number, then 3 and 10,407,700.3333 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 | 31,223,101 | |
| -1 | -31,223,101 |
Let's try dividing by 4:
31,223,101 ÷ 4 = 7,805,775.25
If the quotient is a whole number, then 4 and 7,805,775.25 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 | 31,223,101 | |
| -1 | 31,223,101 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 17 | 91 | 119 | 221 | 1,547 | 20,183 | 141,281 | 262,379 | 343,111 | 1,836,653 | 2,401,777 | 4,460,443 | 31,223,101 |
| -1 | -7 | -13 | -17 | -91 | -119 | -221 | -1,547 | -20,183 | -141,281 | -262,379 | -343,111 | -1,836,653 | -2,401,777 | -4,460,443 | -31,223,101 |
Here are some more numbers to try:
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