A:
Positive:
1 x 31300340929 x 1079322147 x 6659647131 x 23893391363 x 2296431753 x 1785533799 x 823916157 x 50837
Negative:
-1 x -313003409-29 x -10793221-47 x -6659647-131 x -2389339-1363 x -229643-1753 x -178553-3799 x -82391-6157 x -50837
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 313,003,409, 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 | 313,003,409 | |
| -1 | -313,003,409 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 313,003,409.
Example:
1 x 313,003,409 = 313,003,409
and
-1 x -313,003,409 = 313,003,409
Notice both answers equal 313,003,409
With that explanation out of the way, let's continue. Next, we take the number 313,003,409 and divide it by 2:
313,003,409 ÷ 2 = 156,501,704.5
If the quotient is a whole number, then 2 and 156,501,704.5 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 | 313,003,409 | |
| -1 | -313,003,409 |
Now, we try dividing 313,003,409 by 3:
313,003,409 ÷ 3 = 104,334,469.6667
If the quotient is a whole number, then 3 and 104,334,469.6667 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 | 313,003,409 | |
| -1 | -313,003,409 |
Let's try dividing by 4:
313,003,409 ÷ 4 = 78,250,852.25
If the quotient is a whole number, then 4 and 78,250,852.25 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 | 313,003,409 | |
| -1 | 313,003,409 |
If you did it right, you will end up with this table:
| 1 | 29 | 47 | 131 | 1,363 | 1,753 | 3,799 | 6,157 | 50,837 | 82,391 | 178,553 | 229,643 | 2,389,339 | 6,659,647 | 10,793,221 | 313,003,409 |
| -1 | -29 | -47 | -131 | -1,363 | -1,753 | -3,799 | -6,157 | -50,837 | -82,391 | -178,553 | -229,643 | -2,389,339 | -6,659,647 | -10,793,221 | -313,003,409 |
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