A:
Positive:
1 x 122210055 x 244420153 x 230585107 x 114215265 x 46117431 x 28355535 x 228432155 x 5671
Negative:
-1 x -12221005-5 x -2444201-53 x -230585-107 x -114215-265 x -46117-431 x -28355-535 x -22843-2155 x -5671
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 12,221,005, 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 | 12,221,005 | |
| -1 | -12,221,005 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 12,221,005.
Example:
1 x 12,221,005 = 12,221,005
and
-1 x -12,221,005 = 12,221,005
Notice both answers equal 12,221,005
With that explanation out of the way, let's continue. Next, we take the number 12,221,005 and divide it by 2:
12,221,005 ÷ 2 = 6,110,502.5
If the quotient is a whole number, then 2 and 6,110,502.5 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 | 12,221,005 | |
| -1 | -12,221,005 |
Now, we try dividing 12,221,005 by 3:
12,221,005 ÷ 3 = 4,073,668.3333
If the quotient is a whole number, then 3 and 4,073,668.3333 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 | 12,221,005 | |
| -1 | -12,221,005 |
Let's try dividing by 4:
12,221,005 ÷ 4 = 3,055,251.25
If the quotient is a whole number, then 4 and 3,055,251.25 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 | 12,221,005 | |
| -1 | 12,221,005 |
If you did it right, you will end up with this table:
| 1 | 5 | 53 | 107 | 265 | 431 | 535 | 2,155 | 5,671 | 22,843 | 28,355 | 46,117 | 114,215 | 230,585 | 2,444,201 | 12,221,005 |
| -1 | -5 | -53 | -107 | -265 | -431 | -535 | -2,155 | -5,671 | -22,843 | -28,355 | -46,117 | -114,215 | -230,585 | -2,444,201 | -12,221,005 |
Here are some more numbers to try:
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