A:
Positive:
1 x 1041251055 x 208250217 x 1487501535 x 297500389 x 1169945445 x 233989623 x 1671353115 x 33427
Negative:
-1 x -104125105-5 x -20825021-7 x -14875015-35 x -2975003-89 x -1169945-445 x -233989-623 x -167135-3115 x -33427
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 104,125,105, 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 | 104,125,105 | |
| -1 | -104,125,105 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 104,125,105.
Example:
1 x 104,125,105 = 104,125,105
and
-1 x -104,125,105 = 104,125,105
Notice both answers equal 104,125,105
With that explanation out of the way, let's continue. Next, we take the number 104,125,105 and divide it by 2:
104,125,105 ÷ 2 = 52,062,552.5
If the quotient is a whole number, then 2 and 52,062,552.5 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 | 104,125,105 | |
| -1 | -104,125,105 |
Now, we try dividing 104,125,105 by 3:
104,125,105 ÷ 3 = 34,708,368.3333
If the quotient is a whole number, then 3 and 34,708,368.3333 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 | 104,125,105 | |
| -1 | -104,125,105 |
Let's try dividing by 4:
104,125,105 ÷ 4 = 26,031,276.25
If the quotient is a whole number, then 4 and 26,031,276.25 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 | 104,125,105 | |
| -1 | 104,125,105 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 89 | 445 | 623 | 3,115 | 33,427 | 167,135 | 233,989 | 1,169,945 | 2,975,003 | 14,875,015 | 20,825,021 | 104,125,105 |
| -1 | -5 | -7 | -35 | -89 | -445 | -623 | -3,115 | -33,427 | -167,135 | -233,989 | -1,169,945 | -2,975,003 | -14,875,015 | -20,825,021 | -104,125,105 |
Here are some more numbers to try:
Try the factor calculator