A:
Positive:
1 x 3133144155 x 6266288341 x 7641815205 x 1528363463 x 6767052315 x 1353413301 x 9491516505 x 18983
Negative:
-1 x -313314415-5 x -62662883-41 x -7641815-205 x -1528363-463 x -676705-2315 x -135341-3301 x -94915-16505 x -18983
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 313,314,415, 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 | 313,314,415 | |
| -1 | -313,314,415 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 313,314,415.
Example:
1 x 313,314,415 = 313,314,415
and
-1 x -313,314,415 = 313,314,415
Notice both answers equal 313,314,415
With that explanation out of the way, let's continue. Next, we take the number 313,314,415 and divide it by 2:
313,314,415 ÷ 2 = 156,657,207.5
If the quotient is a whole number, then 2 and 156,657,207.5 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 | 313,314,415 | |
| -1 | -313,314,415 |
Now, we try dividing 313,314,415 by 3:
313,314,415 ÷ 3 = 104,438,138.3333
If the quotient is a whole number, then 3 and 104,438,138.3333 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 | 313,314,415 | |
| -1 | -313,314,415 |
Let's try dividing by 4:
313,314,415 ÷ 4 = 78,328,603.75
If the quotient is a whole number, then 4 and 78,328,603.75 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 | 313,314,415 | |
| -1 | 313,314,415 |
If you did it right, you will end up with this table:
| 1 | 5 | 41 | 205 | 463 | 2,315 | 3,301 | 16,505 | 18,983 | 94,915 | 135,341 | 676,705 | 1,528,363 | 7,641,815 | 62,662,883 | 313,314,415 |
| -1 | -5 | -41 | -205 | -463 | -2,315 | -3,301 | -16,505 | -18,983 | -94,915 | -135,341 | -676,705 | -1,528,363 | -7,641,815 | -62,662,883 | -313,314,415 |
Here are some more numbers to try:
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