A:
Positive:
1 x 3122266755 x 6244533517 x 1836627525 x 1248906785 x 3673255307 x 1017025425 x 7346511535 x 2034052393 x 1304755219 x 598257675 x 4068111965 x 26095
Negative:
-1 x -312226675-5 x -62445335-17 x -18366275-25 x -12489067-85 x -3673255-307 x -1017025-425 x -734651-1535 x -203405-2393 x -130475-5219 x -59825-7675 x -40681-11965 x -26095
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 312,226,675, 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 | 312,226,675 | |
| -1 | -312,226,675 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 312,226,675.
Example:
1 x 312,226,675 = 312,226,675
and
-1 x -312,226,675 = 312,226,675
Notice both answers equal 312,226,675
With that explanation out of the way, let's continue. Next, we take the number 312,226,675 and divide it by 2:
312,226,675 ÷ 2 = 156,113,337.5
If the quotient is a whole number, then 2 and 156,113,337.5 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 | 312,226,675 | |
| -1 | -312,226,675 |
Now, we try dividing 312,226,675 by 3:
312,226,675 ÷ 3 = 104,075,558.3333
If the quotient is a whole number, then 3 and 104,075,558.3333 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 | 312,226,675 | |
| -1 | -312,226,675 |
Let's try dividing by 4:
312,226,675 ÷ 4 = 78,056,668.75
If the quotient is a whole number, then 4 and 78,056,668.75 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 | 312,226,675 | |
| -1 | 312,226,675 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 25 | 85 | 307 | 425 | 1,535 | 2,393 | 5,219 | 7,675 | 11,965 | 26,095 | 40,681 | 59,825 | 130,475 | 203,405 | 734,651 | 1,017,025 | 3,673,255 | 12,489,067 | 18,366,275 | 62,445,335 | 312,226,675 |
| -1 | -5 | -17 | -25 | -85 | -307 | -425 | -1,535 | -2,393 | -5,219 | -7,675 | -11,965 | -26,095 | -40,681 | -59,825 | -130,475 | -203,405 | -734,651 | -1,017,025 | -3,673,255 | -12,489,067 | -18,366,275 | -62,445,335 | -312,226,675 |
Here are some more numbers to try:
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