A:
Positive:
1 x 3144564055 x 6289128131 x 10143755155 x 2028751383 x 8210351915 x 1642075297 x 5936511873 x 26485
Negative:
-1 x -314456405-5 x -62891281-31 x -10143755-155 x -2028751-383 x -821035-1915 x -164207-5297 x -59365-11873 x -26485
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 314,456,405, 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 | 314,456,405 | |
| -1 | -314,456,405 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 314,456,405.
Example:
1 x 314,456,405 = 314,456,405
and
-1 x -314,456,405 = 314,456,405
Notice both answers equal 314,456,405
With that explanation out of the way, let's continue. Next, we take the number 314,456,405 and divide it by 2:
314,456,405 ÷ 2 = 157,228,202.5
If the quotient is a whole number, then 2 and 157,228,202.5 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 | 314,456,405 | |
| -1 | -314,456,405 |
Now, we try dividing 314,456,405 by 3:
314,456,405 ÷ 3 = 104,818,801.6667
If the quotient is a whole number, then 3 and 104,818,801.6667 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 | 314,456,405 | |
| -1 | -314,456,405 |
Let's try dividing by 4:
314,456,405 ÷ 4 = 78,614,101.25
If the quotient is a whole number, then 4 and 78,614,101.25 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 | 314,456,405 | |
| -1 | 314,456,405 |
If you did it right, you will end up with this table:
| 1 | 5 | 31 | 155 | 383 | 1,915 | 5,297 | 11,873 | 26,485 | 59,365 | 164,207 | 821,035 | 2,028,751 | 10,143,755 | 62,891,281 | 314,456,405 |
| -1 | -5 | -31 | -155 | -383 | -1,915 | -5,297 | -11,873 | -26,485 | -59,365 | -164,207 | -821,035 | -2,028,751 | -10,143,755 | -62,891,281 | -314,456,405 |
Here are some more numbers to try:
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