A:
Positive:
1 x 520051497 x 742930729 x 1793281203 x 256183241 x 2157891063 x 489231687 x 308276989 x 7441
Negative:
-1 x -52005149-7 x -7429307-29 x -1793281-203 x -256183-241 x -215789-1063 x -48923-1687 x -30827-6989 x -7441
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 52,005,149, 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 | 52,005,149 | |
| -1 | -52,005,149 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 52,005,149.
Example:
1 x 52,005,149 = 52,005,149
and
-1 x -52,005,149 = 52,005,149
Notice both answers equal 52,005,149
With that explanation out of the way, let's continue. Next, we take the number 52,005,149 and divide it by 2:
52,005,149 ÷ 2 = 26,002,574.5
If the quotient is a whole number, then 2 and 26,002,574.5 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 | 52,005,149 | |
| -1 | -52,005,149 |
Now, we try dividing 52,005,149 by 3:
52,005,149 ÷ 3 = 17,335,049.6667
If the quotient is a whole number, then 3 and 17,335,049.6667 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 | 52,005,149 | |
| -1 | -52,005,149 |
Let's try dividing by 4:
52,005,149 ÷ 4 = 13,001,287.25
If the quotient is a whole number, then 4 and 13,001,287.25 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 | 52,005,149 | |
| -1 | 52,005,149 |
If you did it right, you will end up with this table:
| 1 | 7 | 29 | 203 | 241 | 1,063 | 1,687 | 6,989 | 7,441 | 30,827 | 48,923 | 215,789 | 256,183 | 1,793,281 | 7,429,307 | 52,005,149 |
| -1 | -7 | -29 | -203 | -241 | -1,063 | -1,687 | -6,989 | -7,441 | -30,827 | -48,923 | -215,789 | -256,183 | -1,793,281 | -7,429,307 | -52,005,149 |
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