A:
Positive:
1 x 2576372355 x 5152744741 x 6283835205 x 1256767587 x 4389052141 x 1203352935 x 8778110705 x 24067
Negative:
-1 x -257637235-5 x -51527447-41 x -6283835-205 x -1256767-587 x -438905-2141 x -120335-2935 x -87781-10705 x -24067
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 257,637,235, 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 | 257,637,235 | |
| -1 | -257,637,235 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 257,637,235.
Example:
1 x 257,637,235 = 257,637,235
and
-1 x -257,637,235 = 257,637,235
Notice both answers equal 257,637,235
With that explanation out of the way, let's continue. Next, we take the number 257,637,235 and divide it by 2:
257,637,235 ÷ 2 = 128,818,617.5
If the quotient is a whole number, then 2 and 128,818,617.5 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 | 257,637,235 | |
| -1 | -257,637,235 |
Now, we try dividing 257,637,235 by 3:
257,637,235 ÷ 3 = 85,879,078.3333
If the quotient is a whole number, then 3 and 85,879,078.3333 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 | 257,637,235 | |
| -1 | -257,637,235 |
Let's try dividing by 4:
257,637,235 ÷ 4 = 64,409,308.75
If the quotient is a whole number, then 4 and 64,409,308.75 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 | 257,637,235 | |
| -1 | 257,637,235 |
If you did it right, you will end up with this table:
| 1 | 5 | 41 | 205 | 587 | 2,141 | 2,935 | 10,705 | 24,067 | 87,781 | 120,335 | 438,905 | 1,256,767 | 6,283,835 | 51,527,447 | 257,637,235 |
| -1 | -5 | -41 | -205 | -587 | -2,141 | -2,935 | -10,705 | -24,067 | -87,781 | -120,335 | -438,905 | -1,256,767 | -6,283,835 | -51,527,447 | -257,637,235 |
Here are some more numbers to try:
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