A:
Positive:
1 x 31221122323 x 1357440167 x 465986983 x 37615811541 x 2026031909 x 1635472441 x 1279035561 x 56143
Negative:
-1 x -312211223-23 x -13574401-67 x -4659869-83 x -3761581-1541 x -202603-1909 x -163547-2441 x -127903-5561 x -56143
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 312,211,223, 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 | 312,211,223 | |
| -1 | -312,211,223 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 312,211,223.
Example:
1 x 312,211,223 = 312,211,223
and
-1 x -312,211,223 = 312,211,223
Notice both answers equal 312,211,223
With that explanation out of the way, let's continue. Next, we take the number 312,211,223 and divide it by 2:
312,211,223 ÷ 2 = 156,105,611.5
If the quotient is a whole number, then 2 and 156,105,611.5 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 | 312,211,223 | |
| -1 | -312,211,223 |
Now, we try dividing 312,211,223 by 3:
312,211,223 ÷ 3 = 104,070,407.6667
If the quotient is a whole number, then 3 and 104,070,407.6667 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 | 312,211,223 | |
| -1 | -312,211,223 |
Let's try dividing by 4:
312,211,223 ÷ 4 = 78,052,805.75
If the quotient is a whole number, then 4 and 78,052,805.75 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 | 312,211,223 | |
| -1 | 312,211,223 |
If you did it right, you will end up with this table:
| 1 | 23 | 67 | 83 | 1,541 | 1,909 | 2,441 | 5,561 | 56,143 | 127,903 | 163,547 | 202,603 | 3,761,581 | 4,659,869 | 13,574,401 | 312,211,223 |
| -1 | -23 | -67 | -83 | -1,541 | -1,909 | -2,441 | -5,561 | -56,143 | -127,903 | -163,547 | -202,603 | -3,761,581 | -4,659,869 | -13,574,401 | -312,211,223 |
Here are some more numbers to try:
Try the factor calculator