A:
Positive:
1 x 1312571755 x 262514357 x 1875102525 x 525028735 x 3750205175 x 750041379 x 3463251895 x 692651979 x 663252653 x 494759475 x 138539895 x 13265
Negative:
-1 x -131257175-5 x -26251435-7 x -18751025-25 x -5250287-35 x -3750205-175 x -750041-379 x -346325-1895 x -69265-1979 x -66325-2653 x -49475-9475 x -13853-9895 x -13265
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 131,257,175, 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 | 131,257,175 | |
| -1 | -131,257,175 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 131,257,175.
Example:
1 x 131,257,175 = 131,257,175
and
-1 x -131,257,175 = 131,257,175
Notice both answers equal 131,257,175
With that explanation out of the way, let's continue. Next, we take the number 131,257,175 and divide it by 2:
131,257,175 ÷ 2 = 65,628,587.5
If the quotient is a whole number, then 2 and 65,628,587.5 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 | 131,257,175 | |
| -1 | -131,257,175 |
Now, we try dividing 131,257,175 by 3:
131,257,175 ÷ 3 = 43,752,391.6667
If the quotient is a whole number, then 3 and 43,752,391.6667 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 | 131,257,175 | |
| -1 | -131,257,175 |
Let's try dividing by 4:
131,257,175 ÷ 4 = 32,814,293.75
If the quotient is a whole number, then 4 and 32,814,293.75 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 | 131,257,175 | |
| -1 | 131,257,175 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 175 | 379 | 1,895 | 1,979 | 2,653 | 9,475 | 9,895 | 13,265 | 13,853 | 49,475 | 66,325 | 69,265 | 346,325 | 750,041 | 3,750,205 | 5,250,287 | 18,751,025 | 26,251,435 | 131,257,175 |
| -1 | -5 | -7 | -25 | -35 | -175 | -379 | -1,895 | -1,979 | -2,653 | -9,475 | -9,895 | -13,265 | -13,853 | -49,475 | -66,325 | -69,265 | -346,325 | -750,041 | -3,750,205 | -5,250,287 | -18,751,025 | -26,251,435 | -131,257,175 |
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