A:
Positive:
1 x 31330113111 x 2848192113 x 2410008741 x 7641491143 x 2190917451 x 694681533 x 5878075863 x 53437
Negative:
-1 x -313301131-11 x -28481921-13 x -24100087-41 x -7641491-143 x -2190917-451 x -694681-533 x -587807-5863 x -53437
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 313,301,131, 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 | 313,301,131 | |
| -1 | -313,301,131 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 313,301,131.
Example:
1 x 313,301,131 = 313,301,131
and
-1 x -313,301,131 = 313,301,131
Notice both answers equal 313,301,131
With that explanation out of the way, let's continue. Next, we take the number 313,301,131 and divide it by 2:
313,301,131 ÷ 2 = 156,650,565.5
If the quotient is a whole number, then 2 and 156,650,565.5 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 | 313,301,131 | |
| -1 | -313,301,131 |
Now, we try dividing 313,301,131 by 3:
313,301,131 ÷ 3 = 104,433,710.3333
If the quotient is a whole number, then 3 and 104,433,710.3333 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 | 313,301,131 | |
| -1 | -313,301,131 |
Let's try dividing by 4:
313,301,131 ÷ 4 = 78,325,282.75
If the quotient is a whole number, then 4 and 78,325,282.75 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 | 313,301,131 | |
| -1 | 313,301,131 |
If you did it right, you will end up with this table:
| 1 | 11 | 13 | 41 | 143 | 451 | 533 | 5,863 | 53,437 | 587,807 | 694,681 | 2,190,917 | 7,641,491 | 24,100,087 | 28,481,921 | 313,301,131 |
| -1 | -11 | -13 | -41 | -143 | -451 | -533 | -5,863 | -53,437 | -587,807 | -694,681 | -2,190,917 | -7,641,491 | -24,100,087 | -28,481,921 | -313,301,131 |
Here are some more numbers to try:
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