A:
Positive:
1 x 13150500723 x 571760931 x 4242097181 x 726547713 x 1844391019 x 1290534163 x 315895611 x 23437
Negative:
-1 x -131505007-23 x -5717609-31 x -4242097-181 x -726547-713 x -184439-1019 x -129053-4163 x -31589-5611 x -23437
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 131,505,007, 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 | 131,505,007 | |
| -1 | -131,505,007 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 131,505,007.
Example:
1 x 131,505,007 = 131,505,007
and
-1 x -131,505,007 = 131,505,007
Notice both answers equal 131,505,007
With that explanation out of the way, let's continue. Next, we take the number 131,505,007 and divide it by 2:
131,505,007 ÷ 2 = 65,752,503.5
If the quotient is a whole number, then 2 and 65,752,503.5 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 | 131,505,007 | |
| -1 | -131,505,007 |
Now, we try dividing 131,505,007 by 3:
131,505,007 ÷ 3 = 43,835,002.3333
If the quotient is a whole number, then 3 and 43,835,002.3333 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 | 131,505,007 | |
| -1 | -131,505,007 |
Let's try dividing by 4:
131,505,007 ÷ 4 = 32,876,251.75
If the quotient is a whole number, then 4 and 32,876,251.75 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 | 131,505,007 | |
| -1 | 131,505,007 |
If you did it right, you will end up with this table:
| 1 | 23 | 31 | 181 | 713 | 1,019 | 4,163 | 5,611 | 23,437 | 31,589 | 129,053 | 184,439 | 726,547 | 4,242,097 | 5,717,609 | 131,505,007 |
| -1 | -23 | -31 | -181 | -713 | -1,019 | -4,163 | -5,611 | -23,437 | -31,589 | -129,053 | -184,439 | -726,547 | -4,242,097 | -5,717,609 | -131,505,007 |
Here are some more numbers to try:
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