A:
Positive:
1 x 2321020255 x 4642040525 x 928408141 x 5661025127 x 1827575205 x 1132205635 x 3655151025 x 2264411783 x 1301753175 x 731035207 x 445758915 x 26035
Negative:
-1 x -232102025-5 x -46420405-25 x -9284081-41 x -5661025-127 x -1827575-205 x -1132205-635 x -365515-1025 x -226441-1783 x -130175-3175 x -73103-5207 x -44575-8915 x -26035
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 232,102,025, 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 | 232,102,025 | |
| -1 | -232,102,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 232,102,025.
Example:
1 x 232,102,025 = 232,102,025
and
-1 x -232,102,025 = 232,102,025
Notice both answers equal 232,102,025
With that explanation out of the way, let's continue. Next, we take the number 232,102,025 and divide it by 2:
232,102,025 ÷ 2 = 116,051,012.5
If the quotient is a whole number, then 2 and 116,051,012.5 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 | 232,102,025 | |
| -1 | -232,102,025 |
Now, we try dividing 232,102,025 by 3:
232,102,025 ÷ 3 = 77,367,341.6667
If the quotient is a whole number, then 3 and 77,367,341.6667 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 | 232,102,025 | |
| -1 | -232,102,025 |
Let's try dividing by 4:
232,102,025 ÷ 4 = 58,025,506.25
If the quotient is a whole number, then 4 and 58,025,506.25 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 | 232,102,025 | |
| -1 | 232,102,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 41 | 127 | 205 | 635 | 1,025 | 1,783 | 3,175 | 5,207 | 8,915 | 26,035 | 44,575 | 73,103 | 130,175 | 226,441 | 365,515 | 1,132,205 | 1,827,575 | 5,661,025 | 9,284,081 | 46,420,405 | 232,102,025 |
| -1 | -5 | -25 | -41 | -127 | -205 | -635 | -1,025 | -1,783 | -3,175 | -5,207 | -8,915 | -26,035 | -44,575 | -73,103 | -130,175 | -226,441 | -365,515 | -1,132,205 | -1,827,575 | -5,661,025 | -9,284,081 | -46,420,405 | -232,102,025 |
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