A:
Positive:
1 x 221001055 x 442002147 x 470215157 x 140765235 x 94043599 x 36895785 x 281532995 x 7379
Negative:
-1 x -22100105-5 x -4420021-47 x -470215-157 x -140765-235 x -94043-599 x -36895-785 x -28153-2995 x -7379
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 22,100,105, 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 | 22,100,105 | |
| -1 | -22,100,105 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 22,100,105.
Example:
1 x 22,100,105 = 22,100,105
and
-1 x -22,100,105 = 22,100,105
Notice both answers equal 22,100,105
With that explanation out of the way, let's continue. Next, we take the number 22,100,105 and divide it by 2:
22,100,105 ÷ 2 = 11,050,052.5
If the quotient is a whole number, then 2 and 11,050,052.5 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 | 22,100,105 | |
| -1 | -22,100,105 |
Now, we try dividing 22,100,105 by 3:
22,100,105 ÷ 3 = 7,366,701.6667
If the quotient is a whole number, then 3 and 7,366,701.6667 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 | 22,100,105 | |
| -1 | -22,100,105 |
Let's try dividing by 4:
22,100,105 ÷ 4 = 5,525,026.25
If the quotient is a whole number, then 4 and 5,525,026.25 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 | 22,100,105 | |
| -1 | 22,100,105 |
If you did it right, you will end up with this table:
| 1 | 5 | 47 | 157 | 235 | 599 | 785 | 2,995 | 7,379 | 28,153 | 36,895 | 94,043 | 140,765 | 470,215 | 4,420,021 | 22,100,105 |
| -1 | -5 | -47 | -157 | -235 | -599 | -785 | -2,995 | -7,379 | -28,153 | -36,895 | -94,043 | -140,765 | -470,215 | -4,420,021 | -22,100,105 |
Here are some more numbers to try:
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