A:
Positive:
1 x 121573977 x 173677117 x 71514119 x 639863119 x 102163133 x 91409283 x 42959323 x 37639361 x 336771981 x 61372261 x 53772527 x 4811
Negative:
-1 x -12157397-7 x -1736771-17 x -715141-19 x -639863-119 x -102163-133 x -91409-283 x -42959-323 x -37639-361 x -33677-1981 x -6137-2261 x -5377-2527 x -4811
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 12,157,397, 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 | 12,157,397 | |
| -1 | -12,157,397 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 12,157,397.
Example:
1 x 12,157,397 = 12,157,397
and
-1 x -12,157,397 = 12,157,397
Notice both answers equal 12,157,397
With that explanation out of the way, let's continue. Next, we take the number 12,157,397 and divide it by 2:
12,157,397 ÷ 2 = 6,078,698.5
If the quotient is a whole number, then 2 and 6,078,698.5 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 | 12,157,397 | |
| -1 | -12,157,397 |
Now, we try dividing 12,157,397 by 3:
12,157,397 ÷ 3 = 4,052,465.6667
If the quotient is a whole number, then 3 and 4,052,465.6667 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 | 12,157,397 | |
| -1 | -12,157,397 |
Let's try dividing by 4:
12,157,397 ÷ 4 = 3,039,349.25
If the quotient is a whole number, then 4 and 3,039,349.25 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 | 12,157,397 | |
| -1 | 12,157,397 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 19 | 119 | 133 | 283 | 323 | 361 | 1,981 | 2,261 | 2,527 | 4,811 | 5,377 | 6,137 | 33,677 | 37,639 | 42,959 | 91,409 | 102,163 | 639,863 | 715,141 | 1,736,771 | 12,157,397 |
| -1 | -7 | -17 | -19 | -119 | -133 | -283 | -323 | -361 | -1,981 | -2,261 | -2,527 | -4,811 | -5,377 | -6,137 | -33,677 | -37,639 | -42,959 | -91,409 | -102,163 | -639,863 | -715,141 | -1,736,771 | -12,157,397 |
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