A:
Positive:
1 x 3121022311 x 283729361 x 511643193 x 161711241 x 129503671 x 465132123 x 147012651 x 11773
Negative:
-1 x -31210223-11 x -2837293-61 x -511643-193 x -161711-241 x -129503-671 x -46513-2123 x -14701-2651 x -11773
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 31,210,223, 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 | 31,210,223 | |
| -1 | -31,210,223 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,210,223.
Example:
1 x 31,210,223 = 31,210,223
and
-1 x -31,210,223 = 31,210,223
Notice both answers equal 31,210,223
With that explanation out of the way, let's continue. Next, we take the number 31,210,223 and divide it by 2:
31,210,223 ÷ 2 = 15,605,111.5
If the quotient is a whole number, then 2 and 15,605,111.5 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 | 31,210,223 | |
| -1 | -31,210,223 |
Now, we try dividing 31,210,223 by 3:
31,210,223 ÷ 3 = 10,403,407.6667
If the quotient is a whole number, then 3 and 10,403,407.6667 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 | 31,210,223 | |
| -1 | -31,210,223 |
Let's try dividing by 4:
31,210,223 ÷ 4 = 7,802,555.75
If the quotient is a whole number, then 4 and 7,802,555.75 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 | 31,210,223 | |
| -1 | 31,210,223 |
If you did it right, you will end up with this table:
| 1 | 11 | 61 | 193 | 241 | 671 | 2,123 | 2,651 | 11,773 | 14,701 | 46,513 | 129,503 | 161,711 | 511,643 | 2,837,293 | 31,210,223 |
| -1 | -11 | -61 | -193 | -241 | -671 | -2,123 | -2,651 | -11,773 | -14,701 | -46,513 | -129,503 | -161,711 | -511,643 | -2,837,293 | -31,210,223 |
Here are some more numbers to try:
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