A:
Positive:
1 x 2316112317 x 136241931 x 74713371 x 326213527 x 43949619 x 374171207 x 191892201 x 10523
Negative:
-1 x -23161123-17 x -1362419-31 x -747133-71 x -326213-527 x -43949-619 x -37417-1207 x -19189-2201 x -10523
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 23,161,123, 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 | 23,161,123 | |
| -1 | -23,161,123 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 23,161,123.
Example:
1 x 23,161,123 = 23,161,123
and
-1 x -23,161,123 = 23,161,123
Notice both answers equal 23,161,123
With that explanation out of the way, let's continue. Next, we take the number 23,161,123 and divide it by 2:
23,161,123 ÷ 2 = 11,580,561.5
If the quotient is a whole number, then 2 and 11,580,561.5 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 | 23,161,123 | |
| -1 | -23,161,123 |
Now, we try dividing 23,161,123 by 3:
23,161,123 ÷ 3 = 7,720,374.3333
If the quotient is a whole number, then 3 and 7,720,374.3333 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 | 23,161,123 | |
| -1 | -23,161,123 |
Let's try dividing by 4:
23,161,123 ÷ 4 = 5,790,280.75
If the quotient is a whole number, then 4 and 5,790,280.75 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 | 23,161,123 | |
| -1 | 23,161,123 |
If you did it right, you will end up with this table:
| 1 | 17 | 31 | 71 | 527 | 619 | 1,207 | 2,201 | 10,523 | 19,189 | 37,417 | 43,949 | 326,213 | 747,133 | 1,362,419 | 23,161,123 |
| -1 | -17 | -31 | -71 | -527 | -619 | -1,207 | -2,201 | -10,523 | -19,189 | -37,417 | -43,949 | -326,213 | -747,133 | -1,362,419 | -23,161,123 |
Here are some more numbers to try:
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