A:
Positive:
1 x 127945097 x 182778713 x 98419323 x 55628391 x 140599161 x 79469299 x 427912093 x 6113
Negative:
-1 x -12794509-7 x -1827787-13 x -984193-23 x -556283-91 x -140599-161 x -79469-299 x -42791-2093 x -6113
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 12,794,509, 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 | 12,794,509 | |
| -1 | -12,794,509 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 12,794,509.
Example:
1 x 12,794,509 = 12,794,509
and
-1 x -12,794,509 = 12,794,509
Notice both answers equal 12,794,509
With that explanation out of the way, let's continue. Next, we take the number 12,794,509 and divide it by 2:
12,794,509 ÷ 2 = 6,397,254.5
If the quotient is a whole number, then 2 and 6,397,254.5 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 | 12,794,509 | |
| -1 | -12,794,509 |
Now, we try dividing 12,794,509 by 3:
12,794,509 ÷ 3 = 4,264,836.3333
If the quotient is a whole number, then 3 and 4,264,836.3333 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 | 12,794,509 | |
| -1 | -12,794,509 |
Let's try dividing by 4:
12,794,509 ÷ 4 = 3,198,627.25
If the quotient is a whole number, then 4 and 3,198,627.25 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 | 12,794,509 | |
| -1 | 12,794,509 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 23 | 91 | 161 | 299 | 2,093 | 6,113 | 42,791 | 79,469 | 140,599 | 556,283 | 984,193 | 1,827,787 | 12,794,509 |
| -1 | -7 | -13 | -23 | -91 | -161 | -299 | -2,093 | -6,113 | -42,791 | -79,469 | -140,599 | -556,283 | -984,193 | -1,827,787 | -12,794,509 |
Here are some more numbers to try:
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