A:
Positive:
1 x 31410102113 x 2416161731 x 10132291403 x 779407743 x 4227471049 x 2994299659 x 3251913637 x 23033
Negative:
-1 x -314101021-13 x -24161617-31 x -10132291-403 x -779407-743 x -422747-1049 x -299429-9659 x -32519-13637 x -23033
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 314,101,021, 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 | 314,101,021 | |
| -1 | -314,101,021 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 314,101,021.
Example:
1 x 314,101,021 = 314,101,021
and
-1 x -314,101,021 = 314,101,021
Notice both answers equal 314,101,021
With that explanation out of the way, let's continue. Next, we take the number 314,101,021 and divide it by 2:
314,101,021 ÷ 2 = 157,050,510.5
If the quotient is a whole number, then 2 and 157,050,510.5 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 | 314,101,021 | |
| -1 | -314,101,021 |
Now, we try dividing 314,101,021 by 3:
314,101,021 ÷ 3 = 104,700,340.3333
If the quotient is a whole number, then 3 and 104,700,340.3333 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 | 314,101,021 | |
| -1 | -314,101,021 |
Let's try dividing by 4:
314,101,021 ÷ 4 = 78,525,255.25
If the quotient is a whole number, then 4 and 78,525,255.25 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 | 314,101,021 | |
| -1 | 314,101,021 |
If you did it right, you will end up with this table:
| 1 | 13 | 31 | 403 | 743 | 1,049 | 9,659 | 13,637 | 23,033 | 32,519 | 299,429 | 422,747 | 779,407 | 10,132,291 | 24,161,617 | 314,101,021 |
| -1 | -13 | -31 | -403 | -743 | -1,049 | -9,659 | -13,637 | -23,033 | -32,519 | -299,429 | -422,747 | -779,407 | -10,132,291 | -24,161,617 | -314,101,021 |
Here are some more numbers to try:
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