A:
Positive:
1 x 1230221517 x 1757459337 x 3324923259 x 474989349 x 3524991361 x 903912443 x 503579527 x 12913
Negative:
-1 x -123022151-7 x -17574593-37 x -3324923-259 x -474989-349 x -352499-1361 x -90391-2443 x -50357-9527 x -12913
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 123,022,151, 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 | 123,022,151 | |
| -1 | -123,022,151 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 123,022,151.
Example:
1 x 123,022,151 = 123,022,151
and
-1 x -123,022,151 = 123,022,151
Notice both answers equal 123,022,151
With that explanation out of the way, let's continue. Next, we take the number 123,022,151 and divide it by 2:
123,022,151 ÷ 2 = 61,511,075.5
If the quotient is a whole number, then 2 and 61,511,075.5 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 | 123,022,151 | |
| -1 | -123,022,151 |
Now, we try dividing 123,022,151 by 3:
123,022,151 ÷ 3 = 41,007,383.6667
If the quotient is a whole number, then 3 and 41,007,383.6667 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 | 123,022,151 | |
| -1 | -123,022,151 |
Let's try dividing by 4:
123,022,151 ÷ 4 = 30,755,537.75
If the quotient is a whole number, then 4 and 30,755,537.75 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 | 123,022,151 | |
| -1 | 123,022,151 |
If you did it right, you will end up with this table:
| 1 | 7 | 37 | 259 | 349 | 1,361 | 2,443 | 9,527 | 12,913 | 50,357 | 90,391 | 352,499 | 474,989 | 3,324,923 | 17,574,593 | 123,022,151 |
| -1 | -7 | -37 | -259 | -349 | -1,361 | -2,443 | -9,527 | -12,913 | -50,357 | -90,391 | -352,499 | -474,989 | -3,324,923 | -17,574,593 | -123,022,151 |
Here are some more numbers to try:
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