A:
Positive:
1 x 3171167237 x 4530238911 x 2882879377 x 4118399383 x 8279812681 x 1182834213 x 7527110753 x 29491
Negative:
-1 x -317116723-7 x -45302389-11 x -28828793-77 x -4118399-383 x -827981-2681 x -118283-4213 x -75271-10753 x -29491
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 317,116,723, 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 | 317,116,723 | |
| -1 | -317,116,723 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 317,116,723.
Example:
1 x 317,116,723 = 317,116,723
and
-1 x -317,116,723 = 317,116,723
Notice both answers equal 317,116,723
With that explanation out of the way, let's continue. Next, we take the number 317,116,723 and divide it by 2:
317,116,723 ÷ 2 = 158,558,361.5
If the quotient is a whole number, then 2 and 158,558,361.5 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 | 317,116,723 | |
| -1 | -317,116,723 |
Now, we try dividing 317,116,723 by 3:
317,116,723 ÷ 3 = 105,705,574.3333
If the quotient is a whole number, then 3 and 105,705,574.3333 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 | 317,116,723 | |
| -1 | -317,116,723 |
Let's try dividing by 4:
317,116,723 ÷ 4 = 79,279,180.75
If the quotient is a whole number, then 4 and 79,279,180.75 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 | 317,116,723 | |
| -1 | 317,116,723 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 383 | 2,681 | 4,213 | 10,753 | 29,491 | 75,271 | 118,283 | 827,981 | 4,118,399 | 28,828,793 | 45,302,389 | 317,116,723 |
| -1 | -7 | -11 | -77 | -383 | -2,681 | -4,213 | -10,753 | -29,491 | -75,271 | -118,283 | -827,981 | -4,118,399 | -28,828,793 | -45,302,389 | -317,116,723 |
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