A:
Positive:
1 x 121005355 x 242010741 x 29513567 x 180605205 x 59027335 x 36121881 x 137352747 x 4405
Negative:
-1 x -12100535-5 x -2420107-41 x -295135-67 x -180605-205 x -59027-335 x -36121-881 x -13735-2747 x -4405
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 12,100,535, 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 | 12,100,535 | |
| -1 | -12,100,535 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 12,100,535.
Example:
1 x 12,100,535 = 12,100,535
and
-1 x -12,100,535 = 12,100,535
Notice both answers equal 12,100,535
With that explanation out of the way, let's continue. Next, we take the number 12,100,535 and divide it by 2:
12,100,535 ÷ 2 = 6,050,267.5
If the quotient is a whole number, then 2 and 6,050,267.5 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 | 12,100,535 | |
| -1 | -12,100,535 |
Now, we try dividing 12,100,535 by 3:
12,100,535 ÷ 3 = 4,033,511.6667
If the quotient is a whole number, then 3 and 4,033,511.6667 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 | 12,100,535 | |
| -1 | -12,100,535 |
Let's try dividing by 4:
12,100,535 ÷ 4 = 3,025,133.75
If the quotient is a whole number, then 4 and 3,025,133.75 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 | 12,100,535 | |
| -1 | 12,100,535 |
If you did it right, you will end up with this table:
| 1 | 5 | 41 | 67 | 205 | 335 | 881 | 2,747 | 4,405 | 13,735 | 36,121 | 59,027 | 180,605 | 295,135 | 2,420,107 | 12,100,535 |
| -1 | -5 | -41 | -67 | -205 | -335 | -881 | -2,747 | -4,405 | -13,735 | -36,121 | -59,027 | -180,605 | -295,135 | -2,420,107 | -12,100,535 |
Here are some more numbers to try:
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