A:
Positive:
1 x 31210411111 x 2837310147 x 6640513103 x 3030137517 x 6036831133 x 2754674841 x 644715861 x 53251
Negative:
-1 x -312104111-11 x -28373101-47 x -6640513-103 x -3030137-517 x -603683-1133 x -275467-4841 x -64471-5861 x -53251
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 312,104,111, 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 | 312,104,111 | |
| -1 | -312,104,111 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 312,104,111.
Example:
1 x 312,104,111 = 312,104,111
and
-1 x -312,104,111 = 312,104,111
Notice both answers equal 312,104,111
With that explanation out of the way, let's continue. Next, we take the number 312,104,111 and divide it by 2:
312,104,111 ÷ 2 = 156,052,055.5
If the quotient is a whole number, then 2 and 156,052,055.5 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 | 312,104,111 | |
| -1 | -312,104,111 |
Now, we try dividing 312,104,111 by 3:
312,104,111 ÷ 3 = 104,034,703.6667
If the quotient is a whole number, then 3 and 104,034,703.6667 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 | 312,104,111 | |
| -1 | -312,104,111 |
Let's try dividing by 4:
312,104,111 ÷ 4 = 78,026,027.75
If the quotient is a whole number, then 4 and 78,026,027.75 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 | 312,104,111 | |
| -1 | 312,104,111 |
If you did it right, you will end up with this table:
| 1 | 11 | 47 | 103 | 517 | 1,133 | 4,841 | 5,861 | 53,251 | 64,471 | 275,467 | 603,683 | 3,030,137 | 6,640,513 | 28,373,101 | 312,104,111 |
| -1 | -11 | -47 | -103 | -517 | -1,133 | -4,841 | -5,861 | -53,251 | -64,471 | -275,467 | -603,683 | -3,030,137 | -6,640,513 | -28,373,101 | -312,104,111 |
Here are some more numbers to try:
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