A:
Positive:
1 x 5002313455 x 10004626931 x 16136495103 x 4856615155 x 3227299515 x 9713233193 x 15666515965 x 31333
Negative:
-1 x -500231345-5 x -100046269-31 x -16136495-103 x -4856615-155 x -3227299-515 x -971323-3193 x -156665-15965 x -31333
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 500,231,345, 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 | 500,231,345 | |
| -1 | -500,231,345 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 500,231,345.
Example:
1 x 500,231,345 = 500,231,345
and
-1 x -500,231,345 = 500,231,345
Notice both answers equal 500,231,345
With that explanation out of the way, let's continue. Next, we take the number 500,231,345 and divide it by 2:
500,231,345 ÷ 2 = 250,115,672.5
If the quotient is a whole number, then 2 and 250,115,672.5 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 | 500,231,345 | |
| -1 | -500,231,345 |
Now, we try dividing 500,231,345 by 3:
500,231,345 ÷ 3 = 166,743,781.6667
If the quotient is a whole number, then 3 and 166,743,781.6667 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 | 500,231,345 | |
| -1 | -500,231,345 |
Let's try dividing by 4:
500,231,345 ÷ 4 = 125,057,836.25
If the quotient is a whole number, then 4 and 125,057,836.25 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 | 500,231,345 | |
| -1 | 500,231,345 |
If you did it right, you will end up with this table:
| 1 | 5 | 31 | 103 | 155 | 515 | 3,193 | 15,965 | 31,333 | 156,665 | 971,323 | 3,227,299 | 4,856,615 | 16,136,495 | 100,046,269 | 500,231,345 |
| -1 | -5 | -31 | -103 | -155 | -515 | -3,193 | -15,965 | -31,333 | -156,665 | -971,323 | -3,227,299 | -4,856,615 | -16,136,495 | -100,046,269 | -500,231,345 |
Here are some more numbers to try:
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