A:
Positive:
1 x 2321753637 x 3316790923 x 1009458129 x 8006047161 x 1442083203 x 1143721667 x 3480894669 x 49727
Negative:
-1 x -232175363-7 x -33167909-23 x -10094581-29 x -8006047-161 x -1442083-203 x -1143721-667 x -348089-4669 x -49727
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 232,175,363, 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 | 232,175,363 | |
| -1 | -232,175,363 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 232,175,363.
Example:
1 x 232,175,363 = 232,175,363
and
-1 x -232,175,363 = 232,175,363
Notice both answers equal 232,175,363
With that explanation out of the way, let's continue. Next, we take the number 232,175,363 and divide it by 2:
232,175,363 ÷ 2 = 116,087,681.5
If the quotient is a whole number, then 2 and 116,087,681.5 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 | 232,175,363 | |
| -1 | -232,175,363 |
Now, we try dividing 232,175,363 by 3:
232,175,363 ÷ 3 = 77,391,787.6667
If the quotient is a whole number, then 3 and 77,391,787.6667 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 | 232,175,363 | |
| -1 | -232,175,363 |
Let's try dividing by 4:
232,175,363 ÷ 4 = 58,043,840.75
If the quotient is a whole number, then 4 and 58,043,840.75 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 | 232,175,363 | |
| -1 | 232,175,363 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 29 | 161 | 203 | 667 | 4,669 | 49,727 | 348,089 | 1,143,721 | 1,442,083 | 8,006,047 | 10,094,581 | 33,167,909 | 232,175,363 |
| -1 | -7 | -23 | -29 | -161 | -203 | -667 | -4,669 | -49,727 | -348,089 | -1,143,721 | -1,442,083 | -8,006,047 | -10,094,581 | -33,167,909 | -232,175,363 |
Here are some more numbers to try:
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