A:
Positive:
1 x 23162552319 x 1219081729 x 798708741 x 5649403551 x 420373779 x 2973371189 x 19480710253 x 22591
Negative:
-1 x -231625523-19 x -12190817-29 x -7987087-41 x -5649403-551 x -420373-779 x -297337-1189 x -194807-10253 x -22591
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 231,625,523, 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 | 231,625,523 | |
| -1 | -231,625,523 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 231,625,523.
Example:
1 x 231,625,523 = 231,625,523
and
-1 x -231,625,523 = 231,625,523
Notice both answers equal 231,625,523
With that explanation out of the way, let's continue. Next, we take the number 231,625,523 and divide it by 2:
231,625,523 ÷ 2 = 115,812,761.5
If the quotient is a whole number, then 2 and 115,812,761.5 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 | 231,625,523 | |
| -1 | -231,625,523 |
Now, we try dividing 231,625,523 by 3:
231,625,523 ÷ 3 = 77,208,507.6667
If the quotient is a whole number, then 3 and 77,208,507.6667 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 | 231,625,523 | |
| -1 | -231,625,523 |
Let's try dividing by 4:
231,625,523 ÷ 4 = 57,906,380.75
If the quotient is a whole number, then 4 and 57,906,380.75 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 | 231,625,523 | |
| -1 | 231,625,523 |
If you did it right, you will end up with this table:
| 1 | 19 | 29 | 41 | 551 | 779 | 1,189 | 10,253 | 22,591 | 194,807 | 297,337 | 420,373 | 5,649,403 | 7,987,087 | 12,190,817 | 231,625,523 |
| -1 | -19 | -29 | -41 | -551 | -779 | -1,189 | -10,253 | -22,591 | -194,807 | -297,337 | -420,373 | -5,649,403 | -7,987,087 | -12,190,817 | -231,625,523 |
Here are some more numbers to try:
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