A:
Positive:
1 x 51416467713 x 3955112917 x 30244981221 x 23265371399 x 3675231663 x 30917918187 x 2827121619 x 23783
Negative:
-1 x -514164677-13 x -39551129-17 x -30244981-221 x -2326537-1399 x -367523-1663 x -309179-18187 x -28271-21619 x -23783
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 514,164,677, 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 | 514,164,677 | |
| -1 | -514,164,677 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 514,164,677.
Example:
1 x 514,164,677 = 514,164,677
and
-1 x -514,164,677 = 514,164,677
Notice both answers equal 514,164,677
With that explanation out of the way, let's continue. Next, we take the number 514,164,677 and divide it by 2:
514,164,677 ÷ 2 = 257,082,338.5
If the quotient is a whole number, then 2 and 257,082,338.5 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 | 514,164,677 | |
| -1 | -514,164,677 |
Now, we try dividing 514,164,677 by 3:
514,164,677 ÷ 3 = 171,388,225.6667
If the quotient is a whole number, then 3 and 171,388,225.6667 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 | 514,164,677 | |
| -1 | -514,164,677 |
Let's try dividing by 4:
514,164,677 ÷ 4 = 128,541,169.25
If the quotient is a whole number, then 4 and 128,541,169.25 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 | 514,164,677 | |
| -1 | 514,164,677 |
If you did it right, you will end up with this table:
| 1 | 13 | 17 | 221 | 1,399 | 1,663 | 18,187 | 21,619 | 23,783 | 28,271 | 309,179 | 367,523 | 2,326,537 | 30,244,981 | 39,551,129 | 514,164,677 |
| -1 | -13 | -17 | -221 | -1,399 | -1,663 | -18,187 | -21,619 | -23,783 | -28,271 | -309,179 | -367,523 | -2,326,537 | -30,244,981 | -39,551,129 | -514,164,677 |
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