A:
Positive:
1 x 5145353055 x 10290706161 x 8435005305 x 16870011279 x 4022951319 x 3900956395 x 804596595 x 78019
Negative:
-1 x -514535305-5 x -102907061-61 x -8435005-305 x -1687001-1279 x -402295-1319 x -390095-6395 x -80459-6595 x -78019
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 514,535,305, 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 | 514,535,305 | |
| -1 | -514,535,305 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 514,535,305.
Example:
1 x 514,535,305 = 514,535,305
and
-1 x -514,535,305 = 514,535,305
Notice both answers equal 514,535,305
With that explanation out of the way, let's continue. Next, we take the number 514,535,305 and divide it by 2:
514,535,305 ÷ 2 = 257,267,652.5
If the quotient is a whole number, then 2 and 257,267,652.5 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 | 514,535,305 | |
| -1 | -514,535,305 |
Now, we try dividing 514,535,305 by 3:
514,535,305 ÷ 3 = 171,511,768.3333
If the quotient is a whole number, then 3 and 171,511,768.3333 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 | 514,535,305 | |
| -1 | -514,535,305 |
Let's try dividing by 4:
514,535,305 ÷ 4 = 128,633,826.25
If the quotient is a whole number, then 4 and 128,633,826.25 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 | 514,535,305 | |
| -1 | 514,535,305 |
If you did it right, you will end up with this table:
| 1 | 5 | 61 | 305 | 1,279 | 1,319 | 6,395 | 6,595 | 78,019 | 80,459 | 390,095 | 402,295 | 1,687,001 | 8,435,005 | 102,907,061 | 514,535,305 |
| -1 | -5 | -61 | -305 | -1,279 | -1,319 | -6,395 | -6,595 | -78,019 | -80,459 | -390,095 | -402,295 | -1,687,001 | -8,435,005 | -102,907,061 | -514,535,305 |
Here are some more numbers to try:
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