A:
Positive:
1 x 18160112311 x 1650919317 x 1068241923 x 7895701187 x 971129253 x 717791391 x 4644534301 x 42223
Negative:
-1 x -181601123-11 x -16509193-17 x -10682419-23 x -7895701-187 x -971129-253 x -717791-391 x -464453-4301 x -42223
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 181,601,123, 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 | 181,601,123 | |
| -1 | -181,601,123 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 181,601,123.
Example:
1 x 181,601,123 = 181,601,123
and
-1 x -181,601,123 = 181,601,123
Notice both answers equal 181,601,123
With that explanation out of the way, let's continue. Next, we take the number 181,601,123 and divide it by 2:
181,601,123 ÷ 2 = 90,800,561.5
If the quotient is a whole number, then 2 and 90,800,561.5 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 | 181,601,123 | |
| -1 | -181,601,123 |
Now, we try dividing 181,601,123 by 3:
181,601,123 ÷ 3 = 60,533,707.6667
If the quotient is a whole number, then 3 and 60,533,707.6667 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 | 181,601,123 | |
| -1 | -181,601,123 |
Let's try dividing by 4:
181,601,123 ÷ 4 = 45,400,280.75
If the quotient is a whole number, then 4 and 45,400,280.75 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 | 181,601,123 | |
| -1 | 181,601,123 |
If you did it right, you will end up with this table:
| 1 | 11 | 17 | 23 | 187 | 253 | 391 | 4,301 | 42,223 | 464,453 | 717,791 | 971,129 | 7,895,701 | 10,682,419 | 16,509,193 | 181,601,123 |
| -1 | -11 | -17 | -23 | -187 | -253 | -391 | -4,301 | -42,223 | -464,453 | -717,791 | -971,129 | -7,895,701 | -10,682,419 | -16,509,193 | -181,601,123 |
Here are some more numbers to try:
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