A:
Positive:
1 x 314233437 x 448904941 x 766423103 x 305081287 x 109489721 x 435831063 x 295614223 x 7441
Negative:
-1 x -31423343-7 x -4489049-41 x -766423-103 x -305081-287 x -109489-721 x -43583-1063 x -29561-4223 x -7441
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 31,423,343, 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 | 31,423,343 | |
| -1 | -31,423,343 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,423,343.
Example:
1 x 31,423,343 = 31,423,343
and
-1 x -31,423,343 = 31,423,343
Notice both answers equal 31,423,343
With that explanation out of the way, let's continue. Next, we take the number 31,423,343 and divide it by 2:
31,423,343 ÷ 2 = 15,711,671.5
If the quotient is a whole number, then 2 and 15,711,671.5 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 | 31,423,343 | |
| -1 | -31,423,343 |
Now, we try dividing 31,423,343 by 3:
31,423,343 ÷ 3 = 10,474,447.6667
If the quotient is a whole number, then 3 and 10,474,447.6667 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 | 31,423,343 | |
| -1 | -31,423,343 |
Let's try dividing by 4:
31,423,343 ÷ 4 = 7,855,835.75
If the quotient is a whole number, then 4 and 7,855,835.75 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 | 31,423,343 | |
| -1 | 31,423,343 |
If you did it right, you will end up with this table:
| 1 | 7 | 41 | 103 | 287 | 721 | 1,063 | 4,223 | 7,441 | 29,561 | 43,583 | 109,489 | 305,081 | 766,423 | 4,489,049 | 31,423,343 |
| -1 | -7 | -41 | -103 | -287 | -721 | -1,063 | -4,223 | -7,441 | -29,561 | -43,583 | -109,489 | -305,081 | -766,423 | -4,489,049 | -31,423,343 |
Here are some more numbers to try:
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