A:
Positive:
1 x 5256540177 x 7509343149 x 10727633241 x 2181137343 x 15325191687 x 3115916359 x 8266311809 x 44513
Negative:
-1 x -525654017-7 x -75093431-49 x -10727633-241 x -2181137-343 x -1532519-1687 x -311591-6359 x -82663-11809 x -44513
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 525,654,017, 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 | 525,654,017 | |
| -1 | -525,654,017 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 525,654,017.
Example:
1 x 525,654,017 = 525,654,017
and
-1 x -525,654,017 = 525,654,017
Notice both answers equal 525,654,017
With that explanation out of the way, let's continue. Next, we take the number 525,654,017 and divide it by 2:
525,654,017 ÷ 2 = 262,827,008.5
If the quotient is a whole number, then 2 and 262,827,008.5 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 | 525,654,017 | |
| -1 | -525,654,017 |
Now, we try dividing 525,654,017 by 3:
525,654,017 ÷ 3 = 175,218,005.6667
If the quotient is a whole number, then 3 and 175,218,005.6667 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 | 525,654,017 | |
| -1 | -525,654,017 |
Let's try dividing by 4:
525,654,017 ÷ 4 = 131,413,504.25
If the quotient is a whole number, then 4 and 131,413,504.25 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 | 525,654,017 | |
| -1 | 525,654,017 |
If you did it right, you will end up with this table:
| 1 | 7 | 49 | 241 | 343 | 1,687 | 6,359 | 11,809 | 44,513 | 82,663 | 311,591 | 1,532,519 | 2,181,137 | 10,727,633 | 75,093,431 | 525,654,017 |
| -1 | -7 | -49 | -241 | -343 | -1,687 | -6,359 | -11,809 | -44,513 | -82,663 | -311,591 | -1,532,519 | -2,181,137 | -10,727,633 | -75,093,431 | -525,654,017 |
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