A:
Positive:
1 x 3122104711 x 283827713 x 240161919 x 1643213143 x 218329209 x 149383247 x 1264012717 x 11491
Negative:
-1 x -31221047-11 x -2838277-13 x -2401619-19 x -1643213-143 x -218329-209 x -149383-247 x -126401-2717 x -11491
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 31,221,047, 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 | 31,221,047 | |
| -1 | -31,221,047 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,221,047.
Example:
1 x 31,221,047 = 31,221,047
and
-1 x -31,221,047 = 31,221,047
Notice both answers equal 31,221,047
With that explanation out of the way, let's continue. Next, we take the number 31,221,047 and divide it by 2:
31,221,047 ÷ 2 = 15,610,523.5
If the quotient is a whole number, then 2 and 15,610,523.5 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 | 31,221,047 | |
| -1 | -31,221,047 |
Now, we try dividing 31,221,047 by 3:
31,221,047 ÷ 3 = 10,407,015.6667
If the quotient is a whole number, then 3 and 10,407,015.6667 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 | 31,221,047 | |
| -1 | -31,221,047 |
Let's try dividing by 4:
31,221,047 ÷ 4 = 7,805,261.75
If the quotient is a whole number, then 4 and 7,805,261.75 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 | 31,221,047 | |
| -1 | 31,221,047 |
If you did it right, you will end up with this table:
| 1 | 11 | 13 | 19 | 143 | 209 | 247 | 2,717 | 11,491 | 126,401 | 149,383 | 218,329 | 1,643,213 | 2,401,619 | 2,838,277 | 31,221,047 |
| -1 | -11 | -13 | -19 | -143 | -209 | -247 | -2,717 | -11,491 | -126,401 | -149,383 | -218,329 | -1,643,213 | -2,401,619 | -2,838,277 | -31,221,047 |
Here are some more numbers to try:
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