A:
Positive:
1 x 3142143055 x 6284286119 x 1653759595 x 3307519157 x 2001365785 x 4002732983 x 10533514915 x 21067
Negative:
-1 x -314214305-5 x -62842861-19 x -16537595-95 x -3307519-157 x -2001365-785 x -400273-2983 x -105335-14915 x -21067
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 314,214,305, 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 | 314,214,305 | |
| -1 | -314,214,305 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 314,214,305.
Example:
1 x 314,214,305 = 314,214,305
and
-1 x -314,214,305 = 314,214,305
Notice both answers equal 314,214,305
With that explanation out of the way, let's continue. Next, we take the number 314,214,305 and divide it by 2:
314,214,305 ÷ 2 = 157,107,152.5
If the quotient is a whole number, then 2 and 157,107,152.5 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 | 314,214,305 | |
| -1 | -314,214,305 |
Now, we try dividing 314,214,305 by 3:
314,214,305 ÷ 3 = 104,738,101.6667
If the quotient is a whole number, then 3 and 104,738,101.6667 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 | 314,214,305 | |
| -1 | -314,214,305 |
Let's try dividing by 4:
314,214,305 ÷ 4 = 78,553,576.25
If the quotient is a whole number, then 4 and 78,553,576.25 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 | 314,214,305 | |
| -1 | 314,214,305 |
If you did it right, you will end up with this table:
| 1 | 5 | 19 | 95 | 157 | 785 | 2,983 | 14,915 | 21,067 | 105,335 | 400,273 | 2,001,365 | 3,307,519 | 16,537,595 | 62,842,861 | 314,214,305 |
| -1 | -5 | -19 | -95 | -157 | -785 | -2,983 | -14,915 | -21,067 | -105,335 | -400,273 | -2,001,365 | -3,307,519 | -16,537,595 | -62,842,861 | -314,214,305 |
Here are some more numbers to try:
Try the factor calculator