A:
Positive:
1 x 256778277 x 366826131 x 828317217 x 118331241 x 106547491 x 522971687 x 152213437 x 7471
Negative:
-1 x -25677827-7 x -3668261-31 x -828317-217 x -118331-241 x -106547-491 x -52297-1687 x -15221-3437 x -7471
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 25,677,827, 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 | 25,677,827 | |
| -1 | -25,677,827 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 25,677,827.
Example:
1 x 25,677,827 = 25,677,827
and
-1 x -25,677,827 = 25,677,827
Notice both answers equal 25,677,827
With that explanation out of the way, let's continue. Next, we take the number 25,677,827 and divide it by 2:
25,677,827 ÷ 2 = 12,838,913.5
If the quotient is a whole number, then 2 and 12,838,913.5 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 | 25,677,827 | |
| -1 | -25,677,827 |
Now, we try dividing 25,677,827 by 3:
25,677,827 ÷ 3 = 8,559,275.6667
If the quotient is a whole number, then 3 and 8,559,275.6667 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 | 25,677,827 | |
| -1 | -25,677,827 |
Let's try dividing by 4:
25,677,827 ÷ 4 = 6,419,456.75
If the quotient is a whole number, then 4 and 6,419,456.75 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 | 25,677,827 | |
| -1 | 25,677,827 |
If you did it right, you will end up with this table:
| 1 | 7 | 31 | 217 | 241 | 491 | 1,687 | 3,437 | 7,471 | 15,221 | 52,297 | 106,547 | 118,331 | 828,317 | 3,668,261 | 25,677,827 |
| -1 | -7 | -31 | -217 | -241 | -491 | -1,687 | -3,437 | -7,471 | -15,221 | -52,297 | -106,547 | -118,331 | -828,317 | -3,668,261 | -25,677,827 |
Here are some more numbers to try:
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