A:
Positive:
1 x 2363122255 x 4726244525 x 945248931 x 7622975101 x 2339725155 x 1524595505 x 467945775 x 3049192525 x 935893019 x 782753131 x 7547515095 x 15655
Negative:
-1 x -236312225-5 x -47262445-25 x -9452489-31 x -7622975-101 x -2339725-155 x -1524595-505 x -467945-775 x -304919-2525 x -93589-3019 x -78275-3131 x -75475-15095 x -15655
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 236,312,225, 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 | 236,312,225 | |
| -1 | -236,312,225 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 236,312,225.
Example:
1 x 236,312,225 = 236,312,225
and
-1 x -236,312,225 = 236,312,225
Notice both answers equal 236,312,225
With that explanation out of the way, let's continue. Next, we take the number 236,312,225 and divide it by 2:
236,312,225 ÷ 2 = 118,156,112.5
If the quotient is a whole number, then 2 and 118,156,112.5 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 | 236,312,225 | |
| -1 | -236,312,225 |
Now, we try dividing 236,312,225 by 3:
236,312,225 ÷ 3 = 78,770,741.6667
If the quotient is a whole number, then 3 and 78,770,741.6667 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 | 236,312,225 | |
| -1 | -236,312,225 |
Let's try dividing by 4:
236,312,225 ÷ 4 = 59,078,056.25
If the quotient is a whole number, then 4 and 59,078,056.25 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 | 236,312,225 | |
| -1 | 236,312,225 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 31 | 101 | 155 | 505 | 775 | 2,525 | 3,019 | 3,131 | 15,095 | 15,655 | 75,475 | 78,275 | 93,589 | 304,919 | 467,945 | 1,524,595 | 2,339,725 | 7,622,975 | 9,452,489 | 47,262,445 | 236,312,225 |
| -1 | -5 | -25 | -31 | -101 | -155 | -505 | -775 | -2,525 | -3,019 | -3,131 | -15,095 | -15,655 | -75,475 | -78,275 | -93,589 | -304,919 | -467,945 | -1,524,595 | -2,339,725 | -7,622,975 | -9,452,489 | -47,262,445 | -236,312,225 |
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