A:
Positive:
1 x 4150116355 x 8300232741 x 10122235205 x 2024447547 x 7587052735 x 1517413701 x 11213518505 x 22427
Negative:
-1 x -415011635-5 x -83002327-41 x -10122235-205 x -2024447-547 x -758705-2735 x -151741-3701 x -112135-18505 x -22427
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 415,011,635, 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 | 415,011,635 | |
| -1 | -415,011,635 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 415,011,635.
Example:
1 x 415,011,635 = 415,011,635
and
-1 x -415,011,635 = 415,011,635
Notice both answers equal 415,011,635
With that explanation out of the way, let's continue. Next, we take the number 415,011,635 and divide it by 2:
415,011,635 ÷ 2 = 207,505,817.5
If the quotient is a whole number, then 2 and 207,505,817.5 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 | 415,011,635 | |
| -1 | -415,011,635 |
Now, we try dividing 415,011,635 by 3:
415,011,635 ÷ 3 = 138,337,211.6667
If the quotient is a whole number, then 3 and 138,337,211.6667 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 | 415,011,635 | |
| -1 | -415,011,635 |
Let's try dividing by 4:
415,011,635 ÷ 4 = 103,752,908.75
If the quotient is a whole number, then 4 and 103,752,908.75 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 | 415,011,635 | |
| -1 | 415,011,635 |
If you did it right, you will end up with this table:
| 1 | 5 | 41 | 205 | 547 | 2,735 | 3,701 | 18,505 | 22,427 | 112,135 | 151,741 | 758,705 | 2,024,447 | 10,122,235 | 83,002,327 | 415,011,635 |
| -1 | -5 | -41 | -205 | -547 | -2,735 | -3,701 | -18,505 | -22,427 | -112,135 | -151,741 | -758,705 | -2,024,447 | -10,122,235 | -83,002,327 | -415,011,635 |
Here are some more numbers to try:
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