A:
Positive:
1 x 1002826097 x 1432608717 x 589897729 x 3458021119 x 842711203 x 494003493 x 2034133451 x 29059
Negative:
-1 x -100282609-7 x -14326087-17 x -5898977-29 x -3458021-119 x -842711-203 x -494003-493 x -203413-3451 x -29059
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 100,282,609, 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 | 100,282,609 | |
| -1 | -100,282,609 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 100,282,609.
Example:
1 x 100,282,609 = 100,282,609
and
-1 x -100,282,609 = 100,282,609
Notice both answers equal 100,282,609
With that explanation out of the way, let's continue. Next, we take the number 100,282,609 and divide it by 2:
100,282,609 ÷ 2 = 50,141,304.5
If the quotient is a whole number, then 2 and 50,141,304.5 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 | 100,282,609 | |
| -1 | -100,282,609 |
Now, we try dividing 100,282,609 by 3:
100,282,609 ÷ 3 = 33,427,536.3333
If the quotient is a whole number, then 3 and 33,427,536.3333 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 | 100,282,609 | |
| -1 | -100,282,609 |
Let's try dividing by 4:
100,282,609 ÷ 4 = 25,070,652.25
If the quotient is a whole number, then 4 and 25,070,652.25 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 | 100,282,609 | |
| -1 | 100,282,609 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 29 | 119 | 203 | 493 | 3,451 | 29,059 | 203,413 | 494,003 | 842,711 | 3,458,021 | 5,898,977 | 14,326,087 | 100,282,609 |
| -1 | -7 | -17 | -29 | -119 | -203 | -493 | -3,451 | -29,059 | -203,413 | -494,003 | -842,711 | -3,458,021 | -5,898,977 | -14,326,087 | -100,282,609 |
Here are some more numbers to try:
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