A:
Positive:
1 x 19781097 x 28258719 x 104111107 x 18487133 x 14873139 x 14231749 x 2641973 x 2033
Negative:
-1 x -1978109-7 x -282587-19 x -104111-107 x -18487-133 x -14873-139 x -14231-749 x -2641-973 x -2033
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 1,978,109, 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 | 1,978,109 | |
| -1 | -1,978,109 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 1,978,109.
Example:
1 x 1,978,109 = 1,978,109
and
-1 x -1,978,109 = 1,978,109
Notice both answers equal 1,978,109
With that explanation out of the way, let's continue. Next, we take the number 1,978,109 and divide it by 2:
1,978,109 ÷ 2 = 989,054.5
If the quotient is a whole number, then 2 and 989,054.5 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 | 1,978,109 | |
| -1 | -1,978,109 |
Now, we try dividing 1,978,109 by 3:
1,978,109 ÷ 3 = 659,369.6667
If the quotient is a whole number, then 3 and 659,369.6667 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 | 1,978,109 | |
| -1 | -1,978,109 |
Let's try dividing by 4:
1,978,109 ÷ 4 = 494,527.25
If the quotient is a whole number, then 4 and 494,527.25 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 | 1,978,109 | |
| -1 | 1,978,109 |
If you did it right, you will end up with this table:
| 1 | 7 | 19 | 107 | 133 | 139 | 749 | 973 | 2,033 | 2,641 | 14,231 | 14,873 | 18,487 | 104,111 | 282,587 | 1,978,109 |
| -1 | -7 | -19 | -107 | -133 | -139 | -749 | -973 | -2,033 | -2,641 | -14,231 | -14,873 | -18,487 | -104,111 | -282,587 | -1,978,109 |
Here are some more numbers to try:
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