A:
Positive:
1 x 3221031317 x 4601473317 x 18947243119 x 2706749743 x 4335173643 x 884175201 x 6193112631 x 25501
Negative:
-1 x -322103131-7 x -46014733-17 x -18947243-119 x -2706749-743 x -433517-3643 x -88417-5201 x -61931-12631 x -25501
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 322,103,131, 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 | 322,103,131 | |
| -1 | -322,103,131 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 322,103,131.
Example:
1 x 322,103,131 = 322,103,131
and
-1 x -322,103,131 = 322,103,131
Notice both answers equal 322,103,131
With that explanation out of the way, let's continue. Next, we take the number 322,103,131 and divide it by 2:
322,103,131 ÷ 2 = 161,051,565.5
If the quotient is a whole number, then 2 and 161,051,565.5 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 | 322,103,131 | |
| -1 | -322,103,131 |
Now, we try dividing 322,103,131 by 3:
322,103,131 ÷ 3 = 107,367,710.3333
If the quotient is a whole number, then 3 and 107,367,710.3333 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 | 322,103,131 | |
| -1 | -322,103,131 |
Let's try dividing by 4:
322,103,131 ÷ 4 = 80,525,782.75
If the quotient is a whole number, then 4 and 80,525,782.75 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 | 322,103,131 | |
| -1 | 322,103,131 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 119 | 743 | 3,643 | 5,201 | 12,631 | 25,501 | 61,931 | 88,417 | 433,517 | 2,706,749 | 18,947,243 | 46,014,733 | 322,103,131 |
| -1 | -7 | -17 | -119 | -743 | -3,643 | -5,201 | -12,631 | -25,501 | -61,931 | -88,417 | -433,517 | -2,706,749 | -18,947,243 | -46,014,733 | -322,103,131 |
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