A:
Positive:
1 x 31151350947 x 6627947103 x 3024403229 x 1360321281 x 11085894841 x 6434910763 x 2894313207 x 23587
Negative:
-1 x -311513509-47 x -6627947-103 x -3024403-229 x -1360321-281 x -1108589-4841 x -64349-10763 x -28943-13207 x -23587
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 311,513,509, 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 | 311,513,509 | |
| -1 | -311,513,509 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 311,513,509.
Example:
1 x 311,513,509 = 311,513,509
and
-1 x -311,513,509 = 311,513,509
Notice both answers equal 311,513,509
With that explanation out of the way, let's continue. Next, we take the number 311,513,509 and divide it by 2:
311,513,509 ÷ 2 = 155,756,754.5
If the quotient is a whole number, then 2 and 155,756,754.5 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 | 311,513,509 | |
| -1 | -311,513,509 |
Now, we try dividing 311,513,509 by 3:
311,513,509 ÷ 3 = 103,837,836.3333
If the quotient is a whole number, then 3 and 103,837,836.3333 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 | 311,513,509 | |
| -1 | -311,513,509 |
Let's try dividing by 4:
311,513,509 ÷ 4 = 77,878,377.25
If the quotient is a whole number, then 4 and 77,878,377.25 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 | 311,513,509 | |
| -1 | 311,513,509 |
If you did it right, you will end up with this table:
| 1 | 47 | 103 | 229 | 281 | 4,841 | 10,763 | 13,207 | 23,587 | 28,943 | 64,349 | 1,108,589 | 1,360,321 | 3,024,403 | 6,627,947 | 311,513,509 |
| -1 | -47 | -103 | -229 | -281 | -4,841 | -10,763 | -13,207 | -23,587 | -28,943 | -64,349 | -1,108,589 | -1,360,321 | -3,024,403 | -6,627,947 | -311,513,509 |
Here are some more numbers to try:
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