A:
Positive:
1 x 2310132255 x 4620264525 x 924052947 x 4915175235 x 983035421 x 548725467 x 4946751175 x 1966072105 x 1097452335 x 9893510525 x 2194911675 x 19787
Negative:
-1 x -231013225-5 x -46202645-25 x -9240529-47 x -4915175-235 x -983035-421 x -548725-467 x -494675-1175 x -196607-2105 x -109745-2335 x -98935-10525 x -21949-11675 x -19787
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 231,013,225, 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 | 231,013,225 | |
| -1 | -231,013,225 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 231,013,225.
Example:
1 x 231,013,225 = 231,013,225
and
-1 x -231,013,225 = 231,013,225
Notice both answers equal 231,013,225
With that explanation out of the way, let's continue. Next, we take the number 231,013,225 and divide it by 2:
231,013,225 ÷ 2 = 115,506,612.5
If the quotient is a whole number, then 2 and 115,506,612.5 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 | 231,013,225 | |
| -1 | -231,013,225 |
Now, we try dividing 231,013,225 by 3:
231,013,225 ÷ 3 = 77,004,408.3333
If the quotient is a whole number, then 3 and 77,004,408.3333 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 | 231,013,225 | |
| -1 | -231,013,225 |
Let's try dividing by 4:
231,013,225 ÷ 4 = 57,753,306.25
If the quotient is a whole number, then 4 and 57,753,306.25 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 | 231,013,225 | |
| -1 | 231,013,225 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 47 | 235 | 421 | 467 | 1,175 | 2,105 | 2,335 | 10,525 | 11,675 | 19,787 | 21,949 | 98,935 | 109,745 | 196,607 | 494,675 | 548,725 | 983,035 | 4,915,175 | 9,240,529 | 46,202,645 | 231,013,225 |
| -1 | -5 | -25 | -47 | -235 | -421 | -467 | -1,175 | -2,105 | -2,335 | -10,525 | -11,675 | -19,787 | -21,949 | -98,935 | -109,745 | -196,607 | -494,675 | -548,725 | -983,035 | -4,915,175 | -9,240,529 | -46,202,645 | -231,013,225 |
Here are some more numbers to try:
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