A:
Positive:
1 x 25626266913 x 1971251341 x 6250309167 x 1534507533 x 4807932171 x 1180392879 x 890116847 x 37427
Negative:
-1 x -256262669-13 x -19712513-41 x -6250309-167 x -1534507-533 x -480793-2171 x -118039-2879 x -89011-6847 x -37427
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 256,262,669, 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 | 256,262,669 | |
| -1 | -256,262,669 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 256,262,669.
Example:
1 x 256,262,669 = 256,262,669
and
-1 x -256,262,669 = 256,262,669
Notice both answers equal 256,262,669
With that explanation out of the way, let's continue. Next, we take the number 256,262,669 and divide it by 2:
256,262,669 ÷ 2 = 128,131,334.5
If the quotient is a whole number, then 2 and 128,131,334.5 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 | 256,262,669 | |
| -1 | -256,262,669 |
Now, we try dividing 256,262,669 by 3:
256,262,669 ÷ 3 = 85,420,889.6667
If the quotient is a whole number, then 3 and 85,420,889.6667 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 | 256,262,669 | |
| -1 | -256,262,669 |
Let's try dividing by 4:
256,262,669 ÷ 4 = 64,065,667.25
If the quotient is a whole number, then 4 and 64,065,667.25 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 | 256,262,669 | |
| -1 | 256,262,669 |
If you did it right, you will end up with this table:
| 1 | 13 | 41 | 167 | 533 | 2,171 | 2,879 | 6,847 | 37,427 | 89,011 | 118,039 | 480,793 | 1,534,507 | 6,250,309 | 19,712,513 | 256,262,669 |
| -1 | -13 | -41 | -167 | -533 | -2,171 | -2,879 | -6,847 | -37,427 | -89,011 | -118,039 | -480,793 | -1,534,507 | -6,250,309 | -19,712,513 | -256,262,669 |
Here are some more numbers to try:
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