A:
Positive:
1 x 4151511655 x 8303023311 x 3774101513 x 3193470555 x 754820365 x 6386941143 x 2903155715 x 580631
Negative:
-1 x -415151165-5 x -83030233-11 x -37741015-13 x -31934705-55 x -7548203-65 x -6386941-143 x -2903155-715 x -580631
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 415,151,165, 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 | 415,151,165 | |
| -1 | -415,151,165 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 415,151,165.
Example:
1 x 415,151,165 = 415,151,165
and
-1 x -415,151,165 = 415,151,165
Notice both answers equal 415,151,165
With that explanation out of the way, let's continue. Next, we take the number 415,151,165 and divide it by 2:
415,151,165 ÷ 2 = 207,575,582.5
If the quotient is a whole number, then 2 and 207,575,582.5 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 | 415,151,165 | |
| -1 | -415,151,165 |
Now, we try dividing 415,151,165 by 3:
415,151,165 ÷ 3 = 138,383,721.6667
If the quotient is a whole number, then 3 and 138,383,721.6667 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 | 415,151,165 | |
| -1 | -415,151,165 |
Let's try dividing by 4:
415,151,165 ÷ 4 = 103,787,791.25
If the quotient is a whole number, then 4 and 103,787,791.25 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 | 415,151,165 | |
| -1 | 415,151,165 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 13 | 55 | 65 | 143 | 715 | 580,631 | 2,903,155 | 6,386,941 | 7,548,203 | 31,934,705 | 37,741,015 | 83,030,233 | 415,151,165 |
| -1 | -5 | -11 | -13 | -55 | -65 | -143 | -715 | -580,631 | -2,903,155 | -6,386,941 | -7,548,203 | -31,934,705 | -37,741,015 | -83,030,233 | -415,151,165 |
Here are some more numbers to try:
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