A:
Positive:
1 x 5262513137 x 7517875929 x 18146597203 x 2592371433 x 12153613031 x 1736235987 x 8789912557 x 41909
Negative:
-1 x -526251313-7 x -75178759-29 x -18146597-203 x -2592371-433 x -1215361-3031 x -173623-5987 x -87899-12557 x -41909
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 526,251,313, 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 | 526,251,313 | |
| -1 | -526,251,313 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 526,251,313.
Example:
1 x 526,251,313 = 526,251,313
and
-1 x -526,251,313 = 526,251,313
Notice both answers equal 526,251,313
With that explanation out of the way, let's continue. Next, we take the number 526,251,313 and divide it by 2:
526,251,313 ÷ 2 = 263,125,656.5
If the quotient is a whole number, then 2 and 263,125,656.5 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 | 526,251,313 | |
| -1 | -526,251,313 |
Now, we try dividing 526,251,313 by 3:
526,251,313 ÷ 3 = 175,417,104.3333
If the quotient is a whole number, then 3 and 175,417,104.3333 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 | 526,251,313 | |
| -1 | -526,251,313 |
Let's try dividing by 4:
526,251,313 ÷ 4 = 131,562,828.25
If the quotient is a whole number, then 4 and 131,562,828.25 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 | 526,251,313 | |
| -1 | 526,251,313 |
If you did it right, you will end up with this table:
| 1 | 7 | 29 | 203 | 433 | 3,031 | 5,987 | 12,557 | 41,909 | 87,899 | 173,623 | 1,215,361 | 2,592,371 | 18,146,597 | 75,178,759 | 526,251,313 |
| -1 | -7 | -29 | -203 | -433 | -3,031 | -5,987 | -12,557 | -41,909 | -87,899 | -173,623 | -1,215,361 | -2,592,371 | -18,146,597 | -75,178,759 | -526,251,313 |
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