A:
Positive:
1 x 2537387517 x 3624839331 x 8185121217 x 1169303431 x 5887212713 x 935273017 x 8410313361 x 18991
Negative:
-1 x -253738751-7 x -36248393-31 x -8185121-217 x -1169303-431 x -588721-2713 x -93527-3017 x -84103-13361 x -18991
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 253,738,751, 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 | 253,738,751 | |
| -1 | -253,738,751 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 253,738,751.
Example:
1 x 253,738,751 = 253,738,751
and
-1 x -253,738,751 = 253,738,751
Notice both answers equal 253,738,751
With that explanation out of the way, let's continue. Next, we take the number 253,738,751 and divide it by 2:
253,738,751 ÷ 2 = 126,869,375.5
If the quotient is a whole number, then 2 and 126,869,375.5 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 | 253,738,751 | |
| -1 | -253,738,751 |
Now, we try dividing 253,738,751 by 3:
253,738,751 ÷ 3 = 84,579,583.6667
If the quotient is a whole number, then 3 and 84,579,583.6667 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 | 253,738,751 | |
| -1 | -253,738,751 |
Let's try dividing by 4:
253,738,751 ÷ 4 = 63,434,687.75
If the quotient is a whole number, then 4 and 63,434,687.75 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 | 253,738,751 | |
| -1 | 253,738,751 |
If you did it right, you will end up with this table:
| 1 | 7 | 31 | 217 | 431 | 2,713 | 3,017 | 13,361 | 18,991 | 84,103 | 93,527 | 588,721 | 1,169,303 | 8,185,121 | 36,248,393 | 253,738,751 |
| -1 | -7 | -31 | -217 | -431 | -2,713 | -3,017 | -13,361 | -18,991 | -84,103 | -93,527 | -588,721 | -1,169,303 | -8,185,121 | -36,248,393 | -253,738,751 |
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