A:
Positive:
1 x 23512511317 x 1383088923 x 10222831391 x 601343631 x 372623953 x 24672110727 x 2191914513 x 16201
Negative:
-1 x -235125113-17 x -13830889-23 x -10222831-391 x -601343-631 x -372623-953 x -246721-10727 x -21919-14513 x -16201
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 235,125,113, 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 | 235,125,113 | |
| -1 | -235,125,113 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 235,125,113.
Example:
1 x 235,125,113 = 235,125,113
and
-1 x -235,125,113 = 235,125,113
Notice both answers equal 235,125,113
With that explanation out of the way, let's continue. Next, we take the number 235,125,113 and divide it by 2:
235,125,113 ÷ 2 = 117,562,556.5
If the quotient is a whole number, then 2 and 117,562,556.5 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 | 235,125,113 | |
| -1 | -235,125,113 |
Now, we try dividing 235,125,113 by 3:
235,125,113 ÷ 3 = 78,375,037.6667
If the quotient is a whole number, then 3 and 78,375,037.6667 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 | 235,125,113 | |
| -1 | -235,125,113 |
Let's try dividing by 4:
235,125,113 ÷ 4 = 58,781,278.25
If the quotient is a whole number, then 4 and 58,781,278.25 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 | 235,125,113 | |
| -1 | 235,125,113 |
If you did it right, you will end up with this table:
| 1 | 17 | 23 | 391 | 631 | 953 | 10,727 | 14,513 | 16,201 | 21,919 | 246,721 | 372,623 | 601,343 | 10,222,831 | 13,830,889 | 235,125,113 |
| -1 | -17 | -23 | -391 | -631 | -953 | -10,727 | -14,513 | -16,201 | -21,919 | -246,721 | -372,623 | -601,343 | -10,222,831 | -13,830,889 | -235,125,113 |
Here are some more numbers to try:
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