A:
Positive:
1 x 3123563311 x 283960313 x 240274123 x 1358071143 x 218431253 x 123461299 x 1044673289 x 9497
Negative:
-1 x -31235633-11 x -2839603-13 x -2402741-23 x -1358071-143 x -218431-253 x -123461-299 x -104467-3289 x -9497
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 31,235,633, 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 | 31,235,633 | |
| -1 | -31,235,633 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,235,633.
Example:
1 x 31,235,633 = 31,235,633
and
-1 x -31,235,633 = 31,235,633
Notice both answers equal 31,235,633
With that explanation out of the way, let's continue. Next, we take the number 31,235,633 and divide it by 2:
31,235,633 ÷ 2 = 15,617,816.5
If the quotient is a whole number, then 2 and 15,617,816.5 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 | 31,235,633 | |
| -1 | -31,235,633 |
Now, we try dividing 31,235,633 by 3:
31,235,633 ÷ 3 = 10,411,877.6667
If the quotient is a whole number, then 3 and 10,411,877.6667 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 | 31,235,633 | |
| -1 | -31,235,633 |
Let's try dividing by 4:
31,235,633 ÷ 4 = 7,808,908.25
If the quotient is a whole number, then 4 and 7,808,908.25 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 | 31,235,633 | |
| -1 | 31,235,633 |
If you did it right, you will end up with this table:
| 1 | 11 | 13 | 23 | 143 | 253 | 299 | 3,289 | 9,497 | 104,467 | 123,461 | 218,431 | 1,358,071 | 2,402,741 | 2,839,603 | 31,235,633 |
| -1 | -11 | -13 | -23 | -143 | -253 | -299 | -3,289 | -9,497 | -104,467 | -123,461 | -218,431 | -1,358,071 | -2,402,741 | -2,839,603 | -31,235,633 |
Here are some more numbers to try:
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