A:
Positive:
1 x 1025152317 x 1464503313 x 788578791 x 1126541169 x 606599193 x 531167449 x 2283191183 x 866571351 x 758812509 x 408593143 x 326175837 x 17563
Negative:
-1 x -102515231-7 x -14645033-13 x -7885787-91 x -1126541-169 x -606599-193 x -531167-449 x -228319-1183 x -86657-1351 x -75881-2509 x -40859-3143 x -32617-5837 x -17563
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 102,515,231, 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 | 102,515,231 | |
| -1 | -102,515,231 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 102,515,231.
Example:
1 x 102,515,231 = 102,515,231
and
-1 x -102,515,231 = 102,515,231
Notice both answers equal 102,515,231
With that explanation out of the way, let's continue. Next, we take the number 102,515,231 and divide it by 2:
102,515,231 ÷ 2 = 51,257,615.5
If the quotient is a whole number, then 2 and 51,257,615.5 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 | 102,515,231 | |
| -1 | -102,515,231 |
Now, we try dividing 102,515,231 by 3:
102,515,231 ÷ 3 = 34,171,743.6667
If the quotient is a whole number, then 3 and 34,171,743.6667 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 | 102,515,231 | |
| -1 | -102,515,231 |
Let's try dividing by 4:
102,515,231 ÷ 4 = 25,628,807.75
If the quotient is a whole number, then 4 and 25,628,807.75 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 | 102,515,231 | |
| -1 | 102,515,231 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 91 | 169 | 193 | 449 | 1,183 | 1,351 | 2,509 | 3,143 | 5,837 | 17,563 | 32,617 | 40,859 | 75,881 | 86,657 | 228,319 | 531,167 | 606,599 | 1,126,541 | 7,885,787 | 14,645,033 | 102,515,231 |
| -1 | -7 | -13 | -91 | -169 | -193 | -449 | -1,183 | -1,351 | -2,509 | -3,143 | -5,837 | -17,563 | -32,617 | -40,859 | -75,881 | -86,657 | -228,319 | -531,167 | -606,599 | -1,126,541 | -7,885,787 | -14,645,033 | -102,515,231 |
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