A:
Positive:
1 x 2568437697 x 3669196713 x 1975721317 x 1510845791 x 2822459119 x 2158351221 x 11621891547 x 166027
Negative:
-1 x -256843769-7 x -36691967-13 x -19757213-17 x -15108457-91 x -2822459-119 x -2158351-221 x -1162189-1547 x -166027
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 256,843,769, 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 | 256,843,769 | |
| -1 | -256,843,769 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 256,843,769.
Example:
1 x 256,843,769 = 256,843,769
and
-1 x -256,843,769 = 256,843,769
Notice both answers equal 256,843,769
With that explanation out of the way, let's continue. Next, we take the number 256,843,769 and divide it by 2:
256,843,769 ÷ 2 = 128,421,884.5
If the quotient is a whole number, then 2 and 128,421,884.5 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 | 256,843,769 | |
| -1 | -256,843,769 |
Now, we try dividing 256,843,769 by 3:
256,843,769 ÷ 3 = 85,614,589.6667
If the quotient is a whole number, then 3 and 85,614,589.6667 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 | 256,843,769 | |
| -1 | -256,843,769 |
Let's try dividing by 4:
256,843,769 ÷ 4 = 64,210,942.25
If the quotient is a whole number, then 4 and 64,210,942.25 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 | 256,843,769 | |
| -1 | 256,843,769 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 17 | 91 | 119 | 221 | 1,547 | 166,027 | 1,162,189 | 2,158,351 | 2,822,459 | 15,108,457 | 19,757,213 | 36,691,967 | 256,843,769 |
| -1 | -7 | -13 | -17 | -91 | -119 | -221 | -1,547 | -166,027 | -1,162,189 | -2,158,351 | -2,822,459 | -15,108,457 | -19,757,213 | -36,691,967 | -256,843,769 |
Here are some more numbers to try:
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