A:
Positive:
1 x 50010412111 x 4546401131 x 16132391341 x 1466581557 x 8978532633 x 1899376127 x 8162317267 x 28963
Negative:
-1 x -500104121-11 x -45464011-31 x -16132391-341 x -1466581-557 x -897853-2633 x -189937-6127 x -81623-17267 x -28963
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 500,104,121, 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 | 500,104,121 | |
| -1 | -500,104,121 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 500,104,121.
Example:
1 x 500,104,121 = 500,104,121
and
-1 x -500,104,121 = 500,104,121
Notice both answers equal 500,104,121
With that explanation out of the way, let's continue. Next, we take the number 500,104,121 and divide it by 2:
500,104,121 ÷ 2 = 250,052,060.5
If the quotient is a whole number, then 2 and 250,052,060.5 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 | 500,104,121 | |
| -1 | -500,104,121 |
Now, we try dividing 500,104,121 by 3:
500,104,121 ÷ 3 = 166,701,373.6667
If the quotient is a whole number, then 3 and 166,701,373.6667 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 | 500,104,121 | |
| -1 | -500,104,121 |
Let's try dividing by 4:
500,104,121 ÷ 4 = 125,026,030.25
If the quotient is a whole number, then 4 and 125,026,030.25 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 | 500,104,121 | |
| -1 | 500,104,121 |
If you did it right, you will end up with this table:
| 1 | 11 | 31 | 341 | 557 | 2,633 | 6,127 | 17,267 | 28,963 | 81,623 | 189,937 | 897,853 | 1,466,581 | 16,132,391 | 45,464,011 | 500,104,121 |
| -1 | -11 | -31 | -341 | -557 | -2,633 | -6,127 | -17,267 | -28,963 | -81,623 | -189,937 | -897,853 | -1,466,581 | -16,132,391 | -45,464,011 | -500,104,121 |
Here are some more numbers to try:
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