A:
Positive:
1 x 3142215055 x 6284430113 x 2417088565 x 483417771 x 4425655355 x 885131923 x 3404354615 x 68087
Negative:
-1 x -314221505-5 x -62844301-13 x -24170885-65 x -4834177-71 x -4425655-355 x -885131-923 x -340435-4615 x -68087
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 314,221,505, 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 | 314,221,505 | |
| -1 | -314,221,505 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 314,221,505.
Example:
1 x 314,221,505 = 314,221,505
and
-1 x -314,221,505 = 314,221,505
Notice both answers equal 314,221,505
With that explanation out of the way, let's continue. Next, we take the number 314,221,505 and divide it by 2:
314,221,505 ÷ 2 = 157,110,752.5
If the quotient is a whole number, then 2 and 157,110,752.5 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 | 314,221,505 | |
| -1 | -314,221,505 |
Now, we try dividing 314,221,505 by 3:
314,221,505 ÷ 3 = 104,740,501.6667
If the quotient is a whole number, then 3 and 104,740,501.6667 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 | 314,221,505 | |
| -1 | -314,221,505 |
Let's try dividing by 4:
314,221,505 ÷ 4 = 78,555,376.25
If the quotient is a whole number, then 4 and 78,555,376.25 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 | 314,221,505 | |
| -1 | 314,221,505 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 65 | 71 | 355 | 923 | 4,615 | 68,087 | 340,435 | 885,131 | 4,425,655 | 4,834,177 | 24,170,885 | 62,844,301 | 314,221,505 |
| -1 | -5 | -13 | -65 | -71 | -355 | -923 | -4,615 | -68,087 | -340,435 | -885,131 | -4,425,655 | -4,834,177 | -24,170,885 | -62,844,301 | -314,221,505 |
Here are some more numbers to try:
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