A:
Positive:
1 x 4152011655 x 83040233109 x 3809185149 x 2786585545 x 761837745 x 5573175113 x 8120516241 x 25565
Negative:
-1 x -415201165-5 x -83040233-109 x -3809185-149 x -2786585-545 x -761837-745 x -557317-5113 x -81205-16241 x -25565
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 415,201,165, 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 | 415,201,165 | |
| -1 | -415,201,165 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 415,201,165.
Example:
1 x 415,201,165 = 415,201,165
and
-1 x -415,201,165 = 415,201,165
Notice both answers equal 415,201,165
With that explanation out of the way, let's continue. Next, we take the number 415,201,165 and divide it by 2:
415,201,165 ÷ 2 = 207,600,582.5
If the quotient is a whole number, then 2 and 207,600,582.5 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 | 415,201,165 | |
| -1 | -415,201,165 |
Now, we try dividing 415,201,165 by 3:
415,201,165 ÷ 3 = 138,400,388.3333
If the quotient is a whole number, then 3 and 138,400,388.3333 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 | 415,201,165 | |
| -1 | -415,201,165 |
Let's try dividing by 4:
415,201,165 ÷ 4 = 103,800,291.25
If the quotient is a whole number, then 4 and 103,800,291.25 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 | 415,201,165 | |
| -1 | 415,201,165 |
If you did it right, you will end up with this table:
| 1 | 5 | 109 | 149 | 545 | 745 | 5,113 | 16,241 | 25,565 | 81,205 | 557,317 | 761,837 | 2,786,585 | 3,809,185 | 83,040,233 | 415,201,165 |
| -1 | -5 | -109 | -149 | -545 | -745 | -5,113 | -16,241 | -25,565 | -81,205 | -557,317 | -761,837 | -2,786,585 | -3,809,185 | -83,040,233 | -415,201,165 |
Here are some more numbers to try:
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