A:
Positive:
1 x 31365422319 x 1650811741 x 7650103167 x 1878169779 x 4026372411 x 1300933173 x 988516847 x 45809
Negative:
-1 x -313654223-19 x -16508117-41 x -7650103-167 x -1878169-779 x -402637-2411 x -130093-3173 x -98851-6847 x -45809
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 313,654,223, 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 | 313,654,223 | |
| -1 | -313,654,223 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 313,654,223.
Example:
1 x 313,654,223 = 313,654,223
and
-1 x -313,654,223 = 313,654,223
Notice both answers equal 313,654,223
With that explanation out of the way, let's continue. Next, we take the number 313,654,223 and divide it by 2:
313,654,223 ÷ 2 = 156,827,111.5
If the quotient is a whole number, then 2 and 156,827,111.5 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 | 313,654,223 | |
| -1 | -313,654,223 |
Now, we try dividing 313,654,223 by 3:
313,654,223 ÷ 3 = 104,551,407.6667
If the quotient is a whole number, then 3 and 104,551,407.6667 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 | 313,654,223 | |
| -1 | -313,654,223 |
Let's try dividing by 4:
313,654,223 ÷ 4 = 78,413,555.75
If the quotient is a whole number, then 4 and 78,413,555.75 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 | 313,654,223 | |
| -1 | 313,654,223 |
If you did it right, you will end up with this table:
| 1 | 19 | 41 | 167 | 779 | 2,411 | 3,173 | 6,847 | 45,809 | 98,851 | 130,093 | 402,637 | 1,878,169 | 7,650,103 | 16,508,117 | 313,654,223 |
| -1 | -19 | -41 | -167 | -779 | -2,411 | -3,173 | -6,847 | -45,809 | -98,851 | -130,093 | -402,637 | -1,878,169 | -7,650,103 | -16,508,117 | -313,654,223 |
Here are some more numbers to try:
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