A:
Positive:
1 x 1313414055 x 2626828113 x 1010318517 x 772596565 x 202063785 x 1545193221 x 5943051105 x 118861
Negative:
-1 x -131341405-5 x -26268281-13 x -10103185-17 x -7725965-65 x -2020637-85 x -1545193-221 x -594305-1105 x -118861
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 131,341,405, 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 | 131,341,405 | |
| -1 | -131,341,405 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 131,341,405.
Example:
1 x 131,341,405 = 131,341,405
and
-1 x -131,341,405 = 131,341,405
Notice both answers equal 131,341,405
With that explanation out of the way, let's continue. Next, we take the number 131,341,405 and divide it by 2:
131,341,405 ÷ 2 = 65,670,702.5
If the quotient is a whole number, then 2 and 65,670,702.5 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 | 131,341,405 | |
| -1 | -131,341,405 |
Now, we try dividing 131,341,405 by 3:
131,341,405 ÷ 3 = 43,780,468.3333
If the quotient is a whole number, then 3 and 43,780,468.3333 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 | 131,341,405 | |
| -1 | -131,341,405 |
Let's try dividing by 4:
131,341,405 ÷ 4 = 32,835,351.25
If the quotient is a whole number, then 4 and 32,835,351.25 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 | 131,341,405 | |
| -1 | 131,341,405 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 17 | 65 | 85 | 221 | 1,105 | 118,861 | 594,305 | 1,545,193 | 2,020,637 | 7,725,965 | 10,103,185 | 26,268,281 | 131,341,405 |
| -1 | -5 | -13 | -17 | -65 | -85 | -221 | -1,105 | -118,861 | -594,305 | -1,545,193 | -2,020,637 | -7,725,965 | -10,103,185 | -26,268,281 | -131,341,405 |
Here are some more numbers to try:
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