A:
Positive:
1 x 5051531177 x 7216473123 x 2196317929 x 17419073161 x 3137597203 x 2488439667 x 7573514669 x 108193
Negative:
-1 x -505153117-7 x -72164731-23 x -21963179-29 x -17419073-161 x -3137597-203 x -2488439-667 x -757351-4669 x -108193
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 505,153,117, 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 | 505,153,117 | |
| -1 | -505,153,117 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 505,153,117.
Example:
1 x 505,153,117 = 505,153,117
and
-1 x -505,153,117 = 505,153,117
Notice both answers equal 505,153,117
With that explanation out of the way, let's continue. Next, we take the number 505,153,117 and divide it by 2:
505,153,117 ÷ 2 = 252,576,558.5
If the quotient is a whole number, then 2 and 252,576,558.5 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 | 505,153,117 | |
| -1 | -505,153,117 |
Now, we try dividing 505,153,117 by 3:
505,153,117 ÷ 3 = 168,384,372.3333
If the quotient is a whole number, then 3 and 168,384,372.3333 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 | 505,153,117 | |
| -1 | -505,153,117 |
Let's try dividing by 4:
505,153,117 ÷ 4 = 126,288,279.25
If the quotient is a whole number, then 4 and 126,288,279.25 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 | 505,153,117 | |
| -1 | 505,153,117 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 29 | 161 | 203 | 667 | 4,669 | 108,193 | 757,351 | 2,488,439 | 3,137,597 | 17,419,073 | 21,963,179 | 72,164,731 | 505,153,117 |
| -1 | -7 | -23 | -29 | -161 | -203 | -667 | -4,669 | -108,193 | -757,351 | -2,488,439 | -3,137,597 | -17,419,073 | -21,963,179 | -72,164,731 | -505,153,117 |
Here are some more numbers to try:
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