A:
Positive:
1 x 1297167129 x 44729931 x 41844147 x 275993307 x 42253899 x 144291363 x 95171457 x 8903
Negative:
-1 x -12971671-29 x -447299-31 x -418441-47 x -275993-307 x -42253-899 x -14429-1363 x -9517-1457 x -8903
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 12,971,671, 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 | 12,971,671 | |
| -1 | -12,971,671 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 12,971,671.
Example:
1 x 12,971,671 = 12,971,671
and
-1 x -12,971,671 = 12,971,671
Notice both answers equal 12,971,671
With that explanation out of the way, let's continue. Next, we take the number 12,971,671 and divide it by 2:
12,971,671 ÷ 2 = 6,485,835.5
If the quotient is a whole number, then 2 and 6,485,835.5 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 | 12,971,671 | |
| -1 | -12,971,671 |
Now, we try dividing 12,971,671 by 3:
12,971,671 ÷ 3 = 4,323,890.3333
If the quotient is a whole number, then 3 and 4,323,890.3333 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 | 12,971,671 | |
| -1 | -12,971,671 |
Let's try dividing by 4:
12,971,671 ÷ 4 = 3,242,917.75
If the quotient is a whole number, then 4 and 3,242,917.75 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 | 12,971,671 | |
| -1 | 12,971,671 |
If you did it right, you will end up with this table:
| 1 | 29 | 31 | 47 | 307 | 899 | 1,363 | 1,457 | 8,903 | 9,517 | 14,429 | 42,253 | 275,993 | 418,441 | 447,299 | 12,971,671 |
| -1 | -29 | -31 | -47 | -307 | -899 | -1,363 | -1,457 | -8,903 | -9,517 | -14,429 | -42,253 | -275,993 | -418,441 | -447,299 | -12,971,671 |
Here are some more numbers to try:
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