A:
Positive:
1 x 4124131255 x 8248262525 x 16496525125 x 3299305431 x 956875625 x 6598611531 x 2693752155 x 1913757655 x 5387510775 x 38275
Negative:
-1 x -412413125-5 x -82482625-25 x -16496525-125 x -3299305-431 x -956875-625 x -659861-1531 x -269375-2155 x -191375-7655 x -53875-10775 x -38275
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 412,413,125, 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 | 412,413,125 | |
| -1 | -412,413,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 412,413,125.
Example:
1 x 412,413,125 = 412,413,125
and
-1 x -412,413,125 = 412,413,125
Notice both answers equal 412,413,125
With that explanation out of the way, let's continue. Next, we take the number 412,413,125 and divide it by 2:
412,413,125 ÷ 2 = 206,206,562.5
If the quotient is a whole number, then 2 and 206,206,562.5 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 | 412,413,125 | |
| -1 | -412,413,125 |
Now, we try dividing 412,413,125 by 3:
412,413,125 ÷ 3 = 137,471,041.6667
If the quotient is a whole number, then 3 and 137,471,041.6667 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 | 412,413,125 | |
| -1 | -412,413,125 |
Let's try dividing by 4:
412,413,125 ÷ 4 = 103,103,281.25
If the quotient is a whole number, then 4 and 103,103,281.25 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 | 412,413,125 | |
| -1 | 412,413,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 125 | 431 | 625 | 1,531 | 2,155 | 7,655 | 10,775 | 38,275 | 53,875 | 191,375 | 269,375 | 659,861 | 956,875 | 3,299,305 | 16,496,525 | 82,482,625 | 412,413,125 |
| -1 | -5 | -25 | -125 | -431 | -625 | -1,531 | -2,155 | -7,655 | -10,775 | -38,275 | -53,875 | -191,375 | -269,375 | -659,861 | -956,875 | -3,299,305 | -16,496,525 | -82,482,625 | -412,413,125 |
Here are some more numbers to try:
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