A:
Positive:
1 x 25657602113 x 1973661729 x 884744953 x 4841057377 x 680573689 x 3723891537 x 16693312841 x 19981
Negative:
-1 x -256576021-13 x -19736617-29 x -8847449-53 x -4841057-377 x -680573-689 x -372389-1537 x -166933-12841 x -19981
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 256,576,021, 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 | 256,576,021 | |
| -1 | -256,576,021 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 256,576,021.
Example:
1 x 256,576,021 = 256,576,021
and
-1 x -256,576,021 = 256,576,021
Notice both answers equal 256,576,021
With that explanation out of the way, let's continue. Next, we take the number 256,576,021 and divide it by 2:
256,576,021 ÷ 2 = 128,288,010.5
If the quotient is a whole number, then 2 and 128,288,010.5 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 | 256,576,021 | |
| -1 | -256,576,021 |
Now, we try dividing 256,576,021 by 3:
256,576,021 ÷ 3 = 85,525,340.3333
If the quotient is a whole number, then 3 and 85,525,340.3333 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 | 256,576,021 | |
| -1 | -256,576,021 |
Let's try dividing by 4:
256,576,021 ÷ 4 = 64,144,005.25
If the quotient is a whole number, then 4 and 64,144,005.25 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 | 256,576,021 | |
| -1 | 256,576,021 |
If you did it right, you will end up with this table:
| 1 | 13 | 29 | 53 | 377 | 689 | 1,537 | 12,841 | 19,981 | 166,933 | 372,389 | 680,573 | 4,841,057 | 8,847,449 | 19,736,617 | 256,576,021 |
| -1 | -13 | -29 | -53 | -377 | -689 | -1,537 | -12,841 | -19,981 | -166,933 | -372,389 | -680,573 | -4,841,057 | -8,847,449 | -19,736,617 | -256,576,021 |
Here are some more numbers to try:
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