A:
Positive:
1 x 5104735097 x 7292478713 x 3926719391 x 5609599251 x 20337591757 x 2905373263 x 15644322349 x 22841
Negative:
-1 x -510473509-7 x -72924787-13 x -39267193-91 x -5609599-251 x -2033759-1757 x -290537-3263 x -156443-22349 x -22841
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 510,473,509, 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 | 510,473,509 | |
| -1 | -510,473,509 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 510,473,509.
Example:
1 x 510,473,509 = 510,473,509
and
-1 x -510,473,509 = 510,473,509
Notice both answers equal 510,473,509
With that explanation out of the way, let's continue. Next, we take the number 510,473,509 and divide it by 2:
510,473,509 ÷ 2 = 255,236,754.5
If the quotient is a whole number, then 2 and 255,236,754.5 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 | 510,473,509 | |
| -1 | -510,473,509 |
Now, we try dividing 510,473,509 by 3:
510,473,509 ÷ 3 = 170,157,836.3333
If the quotient is a whole number, then 3 and 170,157,836.3333 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 | 510,473,509 | |
| -1 | -510,473,509 |
Let's try dividing by 4:
510,473,509 ÷ 4 = 127,618,377.25
If the quotient is a whole number, then 4 and 127,618,377.25 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 | 510,473,509 | |
| -1 | 510,473,509 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 91 | 251 | 1,757 | 3,263 | 22,349 | 22,841 | 156,443 | 290,537 | 2,033,759 | 5,609,599 | 39,267,193 | 72,924,787 | 510,473,509 |
| -1 | -7 | -13 | -91 | -251 | -1,757 | -3,263 | -22,349 | -22,841 | -156,443 | -290,537 | -2,033,759 | -5,609,599 | -39,267,193 | -72,924,787 | -510,473,509 |
Here are some more numbers to try:
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