A:
Positive:
1 x 2571984355 x 5143968713 x 1978449565 x 3956899397 x 6478551985 x 1295715161 x 498359967 x 25805
Negative:
-1 x -257198435-5 x -51439687-13 x -19784495-65 x -3956899-397 x -647855-1985 x -129571-5161 x -49835-9967 x -25805
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 257,198,435, 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 | 257,198,435 | |
| -1 | -257,198,435 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 257,198,435.
Example:
1 x 257,198,435 = 257,198,435
and
-1 x -257,198,435 = 257,198,435
Notice both answers equal 257,198,435
With that explanation out of the way, let's continue. Next, we take the number 257,198,435 and divide it by 2:
257,198,435 ÷ 2 = 128,599,217.5
If the quotient is a whole number, then 2 and 128,599,217.5 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 | 257,198,435 | |
| -1 | -257,198,435 |
Now, we try dividing 257,198,435 by 3:
257,198,435 ÷ 3 = 85,732,811.6667
If the quotient is a whole number, then 3 and 85,732,811.6667 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 | 257,198,435 | |
| -1 | -257,198,435 |
Let's try dividing by 4:
257,198,435 ÷ 4 = 64,299,608.75
If the quotient is a whole number, then 4 and 64,299,608.75 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 | 257,198,435 | |
| -1 | 257,198,435 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 65 | 397 | 1,985 | 5,161 | 9,967 | 25,805 | 49,835 | 129,571 | 647,855 | 3,956,899 | 19,784,495 | 51,439,687 | 257,198,435 |
| -1 | -5 | -13 | -65 | -397 | -1,985 | -5,161 | -9,967 | -25,805 | -49,835 | -129,571 | -647,855 | -3,956,899 | -19,784,495 | -51,439,687 | -257,198,435 |
Here are some more numbers to try:
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