A:
Positive:
1 x 1310305017 x 1871864347 x 278788361 x 2148041329 x 398269427 x 3068632867 x 457036529 x 20069
Negative:
-1 x -131030501-7 x -18718643-47 x -2787883-61 x -2148041-329 x -398269-427 x -306863-2867 x -45703-6529 x -20069
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 131,030,501, 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 | 131,030,501 | |
| -1 | -131,030,501 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 131,030,501.
Example:
1 x 131,030,501 = 131,030,501
and
-1 x -131,030,501 = 131,030,501
Notice both answers equal 131,030,501
With that explanation out of the way, let's continue. Next, we take the number 131,030,501 and divide it by 2:
131,030,501 ÷ 2 = 65,515,250.5
If the quotient is a whole number, then 2 and 65,515,250.5 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 | 131,030,501 | |
| -1 | -131,030,501 |
Now, we try dividing 131,030,501 by 3:
131,030,501 ÷ 3 = 43,676,833.6667
If the quotient is a whole number, then 3 and 43,676,833.6667 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 | 131,030,501 | |
| -1 | -131,030,501 |
Let's try dividing by 4:
131,030,501 ÷ 4 = 32,757,625.25
If the quotient is a whole number, then 4 and 32,757,625.25 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 | 131,030,501 | |
| -1 | 131,030,501 |
If you did it right, you will end up with this table:
| 1 | 7 | 47 | 61 | 329 | 427 | 2,867 | 6,529 | 20,069 | 45,703 | 306,863 | 398,269 | 2,148,041 | 2,787,883 | 18,718,643 | 131,030,501 |
| -1 | -7 | -47 | -61 | -329 | -427 | -2,867 | -6,529 | -20,069 | -45,703 | -306,863 | -398,269 | -2,148,041 | -2,787,883 | -18,718,643 | -131,030,501 |
Here are some more numbers to try:
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