A:
Positive:
1 x 5270263817 x 7528948331 x 17000851217 x 2428693223 x 23633471561 x 3376216913 x 7623710891 x 48391
Negative:
-1 x -527026381-7 x -75289483-31 x -17000851-217 x -2428693-223 x -2363347-1561 x -337621-6913 x -76237-10891 x -48391
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 527,026,381, 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 | 527,026,381 | |
| -1 | -527,026,381 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 527,026,381.
Example:
1 x 527,026,381 = 527,026,381
and
-1 x -527,026,381 = 527,026,381
Notice both answers equal 527,026,381
With that explanation out of the way, let's continue. Next, we take the number 527,026,381 and divide it by 2:
527,026,381 ÷ 2 = 263,513,190.5
If the quotient is a whole number, then 2 and 263,513,190.5 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 | 527,026,381 | |
| -1 | -527,026,381 |
Now, we try dividing 527,026,381 by 3:
527,026,381 ÷ 3 = 175,675,460.3333
If the quotient is a whole number, then 3 and 175,675,460.3333 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 | 527,026,381 | |
| -1 | -527,026,381 |
Let's try dividing by 4:
527,026,381 ÷ 4 = 131,756,595.25
If the quotient is a whole number, then 4 and 131,756,595.25 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 | 527,026,381 | |
| -1 | 527,026,381 |
If you did it right, you will end up with this table:
| 1 | 7 | 31 | 217 | 223 | 1,561 | 6,913 | 10,891 | 48,391 | 76,237 | 337,621 | 2,363,347 | 2,428,693 | 17,000,851 | 75,289,483 | 527,026,381 |
| -1 | -7 | -31 | -217 | -223 | -1,561 | -6,913 | -10,891 | -48,391 | -76,237 | -337,621 | -2,363,347 | -2,428,693 | -17,000,851 | -75,289,483 | -527,026,381 |
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