A:
Positive:
1 x 3142222377 x 4488889117 x 1848366141 x 7663957119 x 2640523287 x 1094851697 x 4508214879 x 64403
Negative:
-1 x -314222237-7 x -44888891-17 x -18483661-41 x -7663957-119 x -2640523-287 x -1094851-697 x -450821-4879 x -64403
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 314,222,237, 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 | 314,222,237 | |
| -1 | -314,222,237 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 314,222,237.
Example:
1 x 314,222,237 = 314,222,237
and
-1 x -314,222,237 = 314,222,237
Notice both answers equal 314,222,237
With that explanation out of the way, let's continue. Next, we take the number 314,222,237 and divide it by 2:
314,222,237 ÷ 2 = 157,111,118.5
If the quotient is a whole number, then 2 and 157,111,118.5 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 | 314,222,237 | |
| -1 | -314,222,237 |
Now, we try dividing 314,222,237 by 3:
314,222,237 ÷ 3 = 104,740,745.6667
If the quotient is a whole number, then 3 and 104,740,745.6667 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 | 314,222,237 | |
| -1 | -314,222,237 |
Let's try dividing by 4:
314,222,237 ÷ 4 = 78,555,559.25
If the quotient is a whole number, then 4 and 78,555,559.25 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 | 314,222,237 | |
| -1 | 314,222,237 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 41 | 119 | 287 | 697 | 4,879 | 64,403 | 450,821 | 1,094,851 | 2,640,523 | 7,663,957 | 18,483,661 | 44,888,891 | 314,222,237 |
| -1 | -7 | -17 | -41 | -119 | -287 | -697 | -4,879 | -64,403 | -450,821 | -1,094,851 | -2,640,523 | -7,663,957 | -18,483,661 | -44,888,891 | -314,222,237 |
Here are some more numbers to try:
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