A:
Positive:
1 x 2321314455 x 464262897 x 3316163513 x 1785626535 x 663232765 x 357125391 x 2550895455 x 510179
Negative:
-1 x -232131445-5 x -46426289-7 x -33161635-13 x -17856265-35 x -6632327-65 x -3571253-91 x -2550895-455 x -510179
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 232,131,445, 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 | 232,131,445 | |
| -1 | -232,131,445 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 232,131,445.
Example:
1 x 232,131,445 = 232,131,445
and
-1 x -232,131,445 = 232,131,445
Notice both answers equal 232,131,445
With that explanation out of the way, let's continue. Next, we take the number 232,131,445 and divide it by 2:
232,131,445 ÷ 2 = 116,065,722.5
If the quotient is a whole number, then 2 and 116,065,722.5 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 | 232,131,445 | |
| -1 | -232,131,445 |
Now, we try dividing 232,131,445 by 3:
232,131,445 ÷ 3 = 77,377,148.3333
If the quotient is a whole number, then 3 and 77,377,148.3333 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 | 232,131,445 | |
| -1 | -232,131,445 |
Let's try dividing by 4:
232,131,445 ÷ 4 = 58,032,861.25
If the quotient is a whole number, then 4 and 58,032,861.25 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 | 232,131,445 | |
| -1 | 232,131,445 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 13 | 35 | 65 | 91 | 455 | 510,179 | 2,550,895 | 3,571,253 | 6,632,327 | 17,856,265 | 33,161,635 | 46,426,289 | 232,131,445 |
| -1 | -5 | -7 | -13 | -35 | -65 | -91 | -455 | -510,179 | -2,550,895 | -3,571,253 | -6,632,327 | -17,856,265 | -33,161,635 | -46,426,289 | -232,131,445 |
Here are some more numbers to try:
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