A:
Positive:
1 x 301211055 x 60242217 x 430301535 x 860603283 x 1064351415 x 212871981 x 152053041 x 9905
Negative:
-1 x -30121105-5 x -6024221-7 x -4303015-35 x -860603-283 x -106435-1415 x -21287-1981 x -15205-3041 x -9905
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 30,121,105, 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 | 30,121,105 | |
| -1 | -30,121,105 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 30,121,105.
Example:
1 x 30,121,105 = 30,121,105
and
-1 x -30,121,105 = 30,121,105
Notice both answers equal 30,121,105
With that explanation out of the way, let's continue. Next, we take the number 30,121,105 and divide it by 2:
30,121,105 ÷ 2 = 15,060,552.5
If the quotient is a whole number, then 2 and 15,060,552.5 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 | 30,121,105 | |
| -1 | -30,121,105 |
Now, we try dividing 30,121,105 by 3:
30,121,105 ÷ 3 = 10,040,368.3333
If the quotient is a whole number, then 3 and 10,040,368.3333 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 | 30,121,105 | |
| -1 | -30,121,105 |
Let's try dividing by 4:
30,121,105 ÷ 4 = 7,530,276.25
If the quotient is a whole number, then 4 and 7,530,276.25 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 | 30,121,105 | |
| -1 | 30,121,105 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 283 | 1,415 | 1,981 | 3,041 | 9,905 | 15,205 | 21,287 | 106,435 | 860,603 | 4,303,015 | 6,024,221 | 30,121,105 |
| -1 | -5 | -7 | -35 | -283 | -1,415 | -1,981 | -3,041 | -9,905 | -15,205 | -21,287 | -106,435 | -860,603 | -4,303,015 | -6,024,221 | -30,121,105 |
Here are some more numbers to try:
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