A:
Positive:
1 x 2301452097 x 3287788731 x 742403949 x 4696841127 x 1812167217 x 1060577889 x 2588811193 x 1929131519 x 1515113937 x 584576223 x 369838351 x 27559
Negative:
-1 x -230145209-7 x -32877887-31 x -7424039-49 x -4696841-127 x -1812167-217 x -1060577-889 x -258881-1193 x -192913-1519 x -151511-3937 x -58457-6223 x -36983-8351 x -27559
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 230,145,209, 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 | 230,145,209 | |
| -1 | -230,145,209 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 230,145,209.
Example:
1 x 230,145,209 = 230,145,209
and
-1 x -230,145,209 = 230,145,209
Notice both answers equal 230,145,209
With that explanation out of the way, let's continue. Next, we take the number 230,145,209 and divide it by 2:
230,145,209 ÷ 2 = 115,072,604.5
If the quotient is a whole number, then 2 and 115,072,604.5 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 | 230,145,209 | |
| -1 | -230,145,209 |
Now, we try dividing 230,145,209 by 3:
230,145,209 ÷ 3 = 76,715,069.6667
If the quotient is a whole number, then 3 and 76,715,069.6667 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 | 230,145,209 | |
| -1 | -230,145,209 |
Let's try dividing by 4:
230,145,209 ÷ 4 = 57,536,302.25
If the quotient is a whole number, then 4 and 57,536,302.25 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 | 230,145,209 | |
| -1 | 230,145,209 |
If you did it right, you will end up with this table:
| 1 | 7 | 31 | 49 | 127 | 217 | 889 | 1,193 | 1,519 | 3,937 | 6,223 | 8,351 | 27,559 | 36,983 | 58,457 | 151,511 | 192,913 | 258,881 | 1,060,577 | 1,812,167 | 4,696,841 | 7,424,039 | 32,877,887 | 230,145,209 |
| -1 | -7 | -31 | -49 | -127 | -217 | -889 | -1,193 | -1,519 | -3,937 | -6,223 | -8,351 | -27,559 | -36,983 | -58,457 | -151,511 | -192,913 | -258,881 | -1,060,577 | -1,812,167 | -4,696,841 | -7,424,039 | -32,877,887 | -230,145,209 |
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