A:
Positive:
1 x 5105802355 x 10211604711 x 4641638529 x 1760621555 x 9283277145 x 3521243319 x 16005651595 x 320113
Negative:
-1 x -510580235-5 x -102116047-11 x -46416385-29 x -17606215-55 x -9283277-145 x -3521243-319 x -1600565-1595 x -320113
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 510,580,235, 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 | 510,580,235 | |
| -1 | -510,580,235 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 510,580,235.
Example:
1 x 510,580,235 = 510,580,235
and
-1 x -510,580,235 = 510,580,235
Notice both answers equal 510,580,235
With that explanation out of the way, let's continue. Next, we take the number 510,580,235 and divide it by 2:
510,580,235 ÷ 2 = 255,290,117.5
If the quotient is a whole number, then 2 and 255,290,117.5 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 | 510,580,235 | |
| -1 | -510,580,235 |
Now, we try dividing 510,580,235 by 3:
510,580,235 ÷ 3 = 170,193,411.6667
If the quotient is a whole number, then 3 and 170,193,411.6667 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 | 510,580,235 | |
| -1 | -510,580,235 |
Let's try dividing by 4:
510,580,235 ÷ 4 = 127,645,058.75
If the quotient is a whole number, then 4 and 127,645,058.75 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 | 510,580,235 | |
| -1 | 510,580,235 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 29 | 55 | 145 | 319 | 1,595 | 320,113 | 1,600,565 | 3,521,243 | 9,283,277 | 17,606,215 | 46,416,385 | 102,116,047 | 510,580,235 |
| -1 | -5 | -11 | -29 | -55 | -145 | -319 | -1,595 | -320,113 | -1,600,565 | -3,521,243 | -9,283,277 | -17,606,215 | -46,416,385 | -102,116,047 | -510,580,235 |
Here are some more numbers to try:
Try the factor calculator