A:
Positive:
1 x 1231123155 x 2462246331 x 3971365155 x 794273227 x 5423451135 x 1084693499 x 351857037 x 17495
Negative:
-1 x -123112315-5 x -24622463-31 x -3971365-155 x -794273-227 x -542345-1135 x -108469-3499 x -35185-7037 x -17495
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 123,112,315, 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 | 123,112,315 | |
| -1 | -123,112,315 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 123,112,315.
Example:
1 x 123,112,315 = 123,112,315
and
-1 x -123,112,315 = 123,112,315
Notice both answers equal 123,112,315
With that explanation out of the way, let's continue. Next, we take the number 123,112,315 and divide it by 2:
123,112,315 ÷ 2 = 61,556,157.5
If the quotient is a whole number, then 2 and 61,556,157.5 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 | 123,112,315 | |
| -1 | -123,112,315 |
Now, we try dividing 123,112,315 by 3:
123,112,315 ÷ 3 = 41,037,438.3333
If the quotient is a whole number, then 3 and 41,037,438.3333 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 | 123,112,315 | |
| -1 | -123,112,315 |
Let's try dividing by 4:
123,112,315 ÷ 4 = 30,778,078.75
If the quotient is a whole number, then 4 and 30,778,078.75 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 | 123,112,315 | |
| -1 | 123,112,315 |
If you did it right, you will end up with this table:
| 1 | 5 | 31 | 155 | 227 | 1,135 | 3,499 | 7,037 | 17,495 | 35,185 | 108,469 | 542,345 | 794,273 | 3,971,365 | 24,622,463 | 123,112,315 |
| -1 | -5 | -31 | -155 | -227 | -1,135 | -3,499 | -7,037 | -17,495 | -35,185 | -108,469 | -542,345 | -794,273 | -3,971,365 | -24,622,463 | -123,112,315 |
Here are some more numbers to try:
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