A:
Positive:
1 x 389069655 x 778139317 x 228864519 x 204773585 x 45772995 x 409547323 x 1204551615 x 24091
Negative:
-1 x -38906965-5 x -7781393-17 x -2288645-19 x -2047735-85 x -457729-95 x -409547-323 x -120455-1615 x -24091
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 38,906,965, 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 | 38,906,965 | |
| -1 | -38,906,965 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 38,906,965.
Example:
1 x 38,906,965 = 38,906,965
and
-1 x -38,906,965 = 38,906,965
Notice both answers equal 38,906,965
With that explanation out of the way, let's continue. Next, we take the number 38,906,965 and divide it by 2:
38,906,965 ÷ 2 = 19,453,482.5
If the quotient is a whole number, then 2 and 19,453,482.5 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 | 38,906,965 | |
| -1 | -38,906,965 |
Now, we try dividing 38,906,965 by 3:
38,906,965 ÷ 3 = 12,968,988.3333
If the quotient is a whole number, then 3 and 12,968,988.3333 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 | 38,906,965 | |
| -1 | -38,906,965 |
Let's try dividing by 4:
38,906,965 ÷ 4 = 9,726,741.25
If the quotient is a whole number, then 4 and 9,726,741.25 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 | 38,906,965 | |
| -1 | 38,906,965 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 19 | 85 | 95 | 323 | 1,615 | 24,091 | 120,455 | 409,547 | 457,729 | 2,047,735 | 2,288,645 | 7,781,393 | 38,906,965 |
| -1 | -5 | -17 | -19 | -85 | -95 | -323 | -1,615 | -24,091 | -120,455 | -409,547 | -457,729 | -2,047,735 | -2,288,645 | -7,781,393 | -38,906,965 |
Here are some more numbers to try:
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