A:
Positive:
1 x 121002355 x 24200477 x 172860535 x 345721227 x 533051135 x 106611523 x 79451589 x 7615
Negative:
-1 x -12100235-5 x -2420047-7 x -1728605-35 x -345721-227 x -53305-1135 x -10661-1523 x -7945-1589 x -7615
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 12,100,235, 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 | 12,100,235 | |
| -1 | -12,100,235 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 12,100,235.
Example:
1 x 12,100,235 = 12,100,235
and
-1 x -12,100,235 = 12,100,235
Notice both answers equal 12,100,235
With that explanation out of the way, let's continue. Next, we take the number 12,100,235 and divide it by 2:
12,100,235 ÷ 2 = 6,050,117.5
If the quotient is a whole number, then 2 and 6,050,117.5 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 | 12,100,235 | |
| -1 | -12,100,235 |
Now, we try dividing 12,100,235 by 3:
12,100,235 ÷ 3 = 4,033,411.6667
If the quotient is a whole number, then 3 and 4,033,411.6667 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 | 12,100,235 | |
| -1 | -12,100,235 |
Let's try dividing by 4:
12,100,235 ÷ 4 = 3,025,058.75
If the quotient is a whole number, then 4 and 3,025,058.75 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 | 12,100,235 | |
| -1 | 12,100,235 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 227 | 1,135 | 1,523 | 1,589 | 7,615 | 7,945 | 10,661 | 53,305 | 345,721 | 1,728,605 | 2,420,047 | 12,100,235 |
| -1 | -5 | -7 | -35 | -227 | -1,135 | -1,523 | -1,589 | -7,615 | -7,945 | -10,661 | -53,305 | -345,721 | -1,728,605 | -2,420,047 | -12,100,235 |
Here are some more numbers to try:
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