A:
Positive:
1 x 31300655371 x 440854373 x 4287761131 x 2389363461 x 6789735183 x 603919301 x 336539563 x 32731
Negative:
-1 x -313006553-71 x -4408543-73 x -4287761-131 x -2389363-461 x -678973-5183 x -60391-9301 x -33653-9563 x -32731
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 313,006,553, 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 | 313,006,553 | |
| -1 | -313,006,553 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 313,006,553.
Example:
1 x 313,006,553 = 313,006,553
and
-1 x -313,006,553 = 313,006,553
Notice both answers equal 313,006,553
With that explanation out of the way, let's continue. Next, we take the number 313,006,553 and divide it by 2:
313,006,553 ÷ 2 = 156,503,276.5
If the quotient is a whole number, then 2 and 156,503,276.5 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 | 313,006,553 | |
| -1 | -313,006,553 |
Now, we try dividing 313,006,553 by 3:
313,006,553 ÷ 3 = 104,335,517.6667
If the quotient is a whole number, then 3 and 104,335,517.6667 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 | 313,006,553 | |
| -1 | -313,006,553 |
Let's try dividing by 4:
313,006,553 ÷ 4 = 78,251,638.25
If the quotient is a whole number, then 4 and 78,251,638.25 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 | 313,006,553 | |
| -1 | 313,006,553 |
If you did it right, you will end up with this table:
| 1 | 71 | 73 | 131 | 461 | 5,183 | 9,301 | 9,563 | 32,731 | 33,653 | 60,391 | 678,973 | 2,389,363 | 4,287,761 | 4,408,543 | 313,006,553 |
| -1 | -71 | -73 | -131 | -461 | -5,183 | -9,301 | -9,563 | -32,731 | -33,653 | -60,391 | -678,973 | -2,389,363 | -4,287,761 | -4,408,543 | -313,006,553 |
Here are some more numbers to try:
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