A:
Positive:
1 x 5051417 x 7216313 x 3885749 x 1030961 x 828191 x 5551169 x 2989427 x 1183637 x 793
Negative:
-1 x -505141-7 x -72163-13 x -38857-49 x -10309-61 x -8281-91 x -5551-169 x -2989-427 x -1183-637 x -793
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 505,141, 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 | 505,141 | |
| -1 | -505,141 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 505,141.
Example:
1 x 505,141 = 505,141
and
-1 x -505,141 = 505,141
Notice both answers equal 505,141
With that explanation out of the way, let's continue. Next, we take the number 505,141 and divide it by 2:
505,141 ÷ 2 = 252,570.5
If the quotient is a whole number, then 2 and 252,570.5 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 | 505,141 | |
| -1 | -505,141 |
Now, we try dividing 505,141 by 3:
505,141 ÷ 3 = 168,380.3333
If the quotient is a whole number, then 3 and 168,380.3333 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 | 505,141 | |
| -1 | -505,141 |
Let's try dividing by 4:
505,141 ÷ 4 = 126,285.25
If the quotient is a whole number, then 4 and 126,285.25 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 | 505,141 | |
| -1 | 505,141 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 49 | 61 | 91 | 169 | 427 | 637 | 793 | 1,183 | 2,989 | 5,551 | 8,281 | 10,309 | 38,857 | 72,163 | 505,141 |
| -1 | -7 | -13 | -49 | -61 | -91 | -169 | -427 | -637 | -793 | -1,183 | -2,989 | -5,551 | -8,281 | -10,309 | -38,857 | -72,163 | -505,141 |
Here are some more numbers to try:
Try the factor calculator