A:
Positive:
1 x 1214209711 x 110382717 x 71424129 x 418693187 x 64931319 x 38063493 x 246292239 x 5423
Negative:
-1 x -12142097-11 x -1103827-17 x -714241-29 x -418693-187 x -64931-319 x -38063-493 x -24629-2239 x -5423
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 12,142,097, 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 | 12,142,097 | |
| -1 | -12,142,097 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 12,142,097.
Example:
1 x 12,142,097 = 12,142,097
and
-1 x -12,142,097 = 12,142,097
Notice both answers equal 12,142,097
With that explanation out of the way, let's continue. Next, we take the number 12,142,097 and divide it by 2:
12,142,097 ÷ 2 = 6,071,048.5
If the quotient is a whole number, then 2 and 6,071,048.5 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 | 12,142,097 | |
| -1 | -12,142,097 |
Now, we try dividing 12,142,097 by 3:
12,142,097 ÷ 3 = 4,047,365.6667
If the quotient is a whole number, then 3 and 4,047,365.6667 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 | 12,142,097 | |
| -1 | -12,142,097 |
Let's try dividing by 4:
12,142,097 ÷ 4 = 3,035,524.25
If the quotient is a whole number, then 4 and 3,035,524.25 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 | 12,142,097 | |
| -1 | 12,142,097 |
If you did it right, you will end up with this table:
| 1 | 11 | 17 | 29 | 187 | 319 | 493 | 2,239 | 5,423 | 24,629 | 38,063 | 64,931 | 418,693 | 714,241 | 1,103,827 | 12,142,097 |
| -1 | -11 | -17 | -29 | -187 | -319 | -493 | -2,239 | -5,423 | -24,629 | -38,063 | -64,931 | -418,693 | -714,241 | -1,103,827 | -12,142,097 |
Here are some more numbers to try:
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