A:
Positive:
1 x 3123499319 x 164394737 x 844189157 x 198949283 x 110371703 x 444312983 x 104715377 x 5809
Negative:
-1 x -31234993-19 x -1643947-37 x -844189-157 x -198949-283 x -110371-703 x -44431-2983 x -10471-5377 x -5809
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 31,234,993, 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 | 31,234,993 | |
| -1 | -31,234,993 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,234,993.
Example:
1 x 31,234,993 = 31,234,993
and
-1 x -31,234,993 = 31,234,993
Notice both answers equal 31,234,993
With that explanation out of the way, let's continue. Next, we take the number 31,234,993 and divide it by 2:
31,234,993 ÷ 2 = 15,617,496.5
If the quotient is a whole number, then 2 and 15,617,496.5 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 | 31,234,993 | |
| -1 | -31,234,993 |
Now, we try dividing 31,234,993 by 3:
31,234,993 ÷ 3 = 10,411,664.3333
If the quotient is a whole number, then 3 and 10,411,664.3333 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 | 31,234,993 | |
| -1 | -31,234,993 |
Let's try dividing by 4:
31,234,993 ÷ 4 = 7,808,748.25
If the quotient is a whole number, then 4 and 7,808,748.25 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 | 31,234,993 | |
| -1 | 31,234,993 |
If you did it right, you will end up with this table:
| 1 | 19 | 37 | 157 | 283 | 703 | 2,983 | 5,377 | 5,809 | 10,471 | 44,431 | 110,371 | 198,949 | 844,189 | 1,643,947 | 31,234,993 |
| -1 | -19 | -37 | -157 | -283 | -703 | -2,983 | -5,377 | -5,809 | -10,471 | -44,431 | -110,371 | -198,949 | -844,189 | -1,643,947 | -31,234,993 |
Here are some more numbers to try:
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