A:
Positive:
1 x 4074077 x 5820111 x 3703713 x 3133937 x 1101177 x 529191 x 4477121 x 3367143 x 2849259 x 1573407 x 1001481 x 847
Negative:
-1 x -407407-7 x -58201-11 x -37037-13 x -31339-37 x -11011-77 x -5291-91 x -4477-121 x -3367-143 x -2849-259 x -1573-407 x -1001-481 x -847
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 407,407, 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 | 407,407 | |
| -1 | -407,407 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 407,407.
Example:
1 x 407,407 = 407,407
and
-1 x -407,407 = 407,407
Notice both answers equal 407,407
With that explanation out of the way, let's continue. Next, we take the number 407,407 and divide it by 2:
407,407 ÷ 2 = 203,703.5
If the quotient is a whole number, then 2 and 203,703.5 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 | 407,407 | |
| -1 | -407,407 |
Now, we try dividing 407,407 by 3:
407,407 ÷ 3 = 135,802.3333
If the quotient is a whole number, then 3 and 135,802.3333 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 | 407,407 | |
| -1 | -407,407 |
Let's try dividing by 4:
407,407 ÷ 4 = 101,851.75
If the quotient is a whole number, then 4 and 101,851.75 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 | 407,407 | |
| -1 | 407,407 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 13 | 37 | 77 | 91 | 121 | 143 | 259 | 407 | 481 | 847 | 1,001 | 1,573 | 2,849 | 3,367 | 4,477 | 5,291 | 11,011 | 31,339 | 37,037 | 58,201 | 407,407 |
| -1 | -7 | -11 | -13 | -37 | -77 | -91 | -121 | -143 | -259 | -407 | -481 | -847 | -1,001 | -1,573 | -2,849 | -3,367 | -4,477 | -5,291 | -11,011 | -31,339 | -37,037 | -58,201 | -407,407 |
Here are some more numbers to try:
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