A:
Positive:
1 x 51412027317 x 3024236997 x 5300209139 x 36987071649 x 3117772243 x 2292112363 x 21757113483 x 38131
Negative:
-1 x -514120273-17 x -30242369-97 x -5300209-139 x -3698707-1649 x -311777-2243 x -229211-2363 x -217571-13483 x -38131
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 514,120,273, 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 | 514,120,273 | |
| -1 | -514,120,273 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 514,120,273.
Example:
1 x 514,120,273 = 514,120,273
and
-1 x -514,120,273 = 514,120,273
Notice both answers equal 514,120,273
With that explanation out of the way, let's continue. Next, we take the number 514,120,273 and divide it by 2:
514,120,273 ÷ 2 = 257,060,136.5
If the quotient is a whole number, then 2 and 257,060,136.5 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 | 514,120,273 | |
| -1 | -514,120,273 |
Now, we try dividing 514,120,273 by 3:
514,120,273 ÷ 3 = 171,373,424.3333
If the quotient is a whole number, then 3 and 171,373,424.3333 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 | 514,120,273 | |
| -1 | -514,120,273 |
Let's try dividing by 4:
514,120,273 ÷ 4 = 128,530,068.25
If the quotient is a whole number, then 4 and 128,530,068.25 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 | 514,120,273 | |
| -1 | 514,120,273 |
If you did it right, you will end up with this table:
| 1 | 17 | 97 | 139 | 1,649 | 2,243 | 2,363 | 13,483 | 38,131 | 217,571 | 229,211 | 311,777 | 3,698,707 | 5,300,209 | 30,242,369 | 514,120,273 |
| -1 | -17 | -97 | -139 | -1,649 | -2,243 | -2,363 | -13,483 | -38,131 | -217,571 | -229,211 | -311,777 | -3,698,707 | -5,300,209 | -30,242,369 | -514,120,273 |
Here are some more numbers to try:
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