A:
Positive:
1 x 31230244111 x 2839113123 x 13578367199 x 1569359253 x 12343972189 x 1426694577 x 682336203 x 50347
Negative:
-1 x -312302441-11 x -28391131-23 x -13578367-199 x -1569359-253 x -1234397-2189 x -142669-4577 x -68233-6203 x -50347
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 312,302,441, 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 | 312,302,441 | |
| -1 | -312,302,441 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 312,302,441.
Example:
1 x 312,302,441 = 312,302,441
and
-1 x -312,302,441 = 312,302,441
Notice both answers equal 312,302,441
With that explanation out of the way, let's continue. Next, we take the number 312,302,441 and divide it by 2:
312,302,441 ÷ 2 = 156,151,220.5
If the quotient is a whole number, then 2 and 156,151,220.5 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 | 312,302,441 | |
| -1 | -312,302,441 |
Now, we try dividing 312,302,441 by 3:
312,302,441 ÷ 3 = 104,100,813.6667
If the quotient is a whole number, then 3 and 104,100,813.6667 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 | 312,302,441 | |
| -1 | -312,302,441 |
Let's try dividing by 4:
312,302,441 ÷ 4 = 78,075,610.25
If the quotient is a whole number, then 4 and 78,075,610.25 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 | 312,302,441 | |
| -1 | 312,302,441 |
If you did it right, you will end up with this table:
| 1 | 11 | 23 | 199 | 253 | 2,189 | 4,577 | 6,203 | 50,347 | 68,233 | 142,669 | 1,234,397 | 1,569,359 | 13,578,367 | 28,391,131 | 312,302,441 |
| -1 | -11 | -23 | -199 | -253 | -2,189 | -4,577 | -6,203 | -50,347 | -68,233 | -142,669 | -1,234,397 | -1,569,359 | -13,578,367 | -28,391,131 | -312,302,441 |
Here are some more numbers to try:
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