A:
Positive:
1 x 4130634255 x 8261268525 x 1652253759 x 7001075193 x 2140225295 x 1400215965 x 4280451451 x 2846751475 x 2800434825 x 856097255 x 5693511387 x 36275
Negative:
-1 x -413063425-5 x -82612685-25 x -16522537-59 x -7001075-193 x -2140225-295 x -1400215-965 x -428045-1451 x -284675-1475 x -280043-4825 x -85609-7255 x -56935-11387 x -36275
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 413,063,425, 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 | 413,063,425 | |
| -1 | -413,063,425 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 413,063,425.
Example:
1 x 413,063,425 = 413,063,425
and
-1 x -413,063,425 = 413,063,425
Notice both answers equal 413,063,425
With that explanation out of the way, let's continue. Next, we take the number 413,063,425 and divide it by 2:
413,063,425 ÷ 2 = 206,531,712.5
If the quotient is a whole number, then 2 and 206,531,712.5 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 | 413,063,425 | |
| -1 | -413,063,425 |
Now, we try dividing 413,063,425 by 3:
413,063,425 ÷ 3 = 137,687,808.3333
If the quotient is a whole number, then 3 and 137,687,808.3333 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 | 413,063,425 | |
| -1 | -413,063,425 |
Let's try dividing by 4:
413,063,425 ÷ 4 = 103,265,856.25
If the quotient is a whole number, then 4 and 103,265,856.25 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 | 413,063,425 | |
| -1 | 413,063,425 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 59 | 193 | 295 | 965 | 1,451 | 1,475 | 4,825 | 7,255 | 11,387 | 36,275 | 56,935 | 85,609 | 280,043 | 284,675 | 428,045 | 1,400,215 | 2,140,225 | 7,001,075 | 16,522,537 | 82,612,685 | 413,063,425 |
| -1 | -5 | -25 | -59 | -193 | -295 | -965 | -1,451 | -1,475 | -4,825 | -7,255 | -11,387 | -36,275 | -56,935 | -85,609 | -280,043 | -284,675 | -428,045 | -1,400,215 | -2,140,225 | -7,001,075 | -16,522,537 | -82,612,685 | -413,063,425 |
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