A:
Positive:
1 x 13110241313 x 1008480119 x 6900127247 x 530779373 x 3514811423 x 921314849 x 270377087 x 18499
Negative:
-1 x -131102413-13 x -10084801-19 x -6900127-247 x -530779-373 x -351481-1423 x -92131-4849 x -27037-7087 x -18499
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 131,102,413, 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 | 131,102,413 | |
| -1 | -131,102,413 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 131,102,413.
Example:
1 x 131,102,413 = 131,102,413
and
-1 x -131,102,413 = 131,102,413
Notice both answers equal 131,102,413
With that explanation out of the way, let's continue. Next, we take the number 131,102,413 and divide it by 2:
131,102,413 ÷ 2 = 65,551,206.5
If the quotient is a whole number, then 2 and 65,551,206.5 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 | 131,102,413 | |
| -1 | -131,102,413 |
Now, we try dividing 131,102,413 by 3:
131,102,413 ÷ 3 = 43,700,804.3333
If the quotient is a whole number, then 3 and 43,700,804.3333 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 | 131,102,413 | |
| -1 | -131,102,413 |
Let's try dividing by 4:
131,102,413 ÷ 4 = 32,775,603.25
If the quotient is a whole number, then 4 and 32,775,603.25 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 | 131,102,413 | |
| -1 | 131,102,413 |
If you did it right, you will end up with this table:
| 1 | 13 | 19 | 247 | 373 | 1,423 | 4,849 | 7,087 | 18,499 | 27,037 | 92,131 | 351,481 | 530,779 | 6,900,127 | 10,084,801 | 131,102,413 |
| -1 | -13 | -19 | -247 | -373 | -1,423 | -4,849 | -7,087 | -18,499 | -27,037 | -92,131 | -351,481 | -530,779 | -6,900,127 | -10,084,801 | -131,102,413 |
Here are some more numbers to try:
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