A:
Positive:
1 x 279125217 x 398750313 x 214711717 x 164191391 x 306731119 x 234559221 x 1263011547 x 18043
Negative:
-1 x -27912521-7 x -3987503-13 x -2147117-17 x -1641913-91 x -306731-119 x -234559-221 x -126301-1547 x -18043
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 27,912,521, 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 | 27,912,521 | |
| -1 | -27,912,521 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 27,912,521.
Example:
1 x 27,912,521 = 27,912,521
and
-1 x -27,912,521 = 27,912,521
Notice both answers equal 27,912,521
With that explanation out of the way, let's continue. Next, we take the number 27,912,521 and divide it by 2:
27,912,521 ÷ 2 = 13,956,260.5
If the quotient is a whole number, then 2 and 13,956,260.5 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 | 27,912,521 | |
| -1 | -27,912,521 |
Now, we try dividing 27,912,521 by 3:
27,912,521 ÷ 3 = 9,304,173.6667
If the quotient is a whole number, then 3 and 9,304,173.6667 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 | 27,912,521 | |
| -1 | -27,912,521 |
Let's try dividing by 4:
27,912,521 ÷ 4 = 6,978,130.25
If the quotient is a whole number, then 4 and 6,978,130.25 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 | 27,912,521 | |
| -1 | 27,912,521 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 17 | 91 | 119 | 221 | 1,547 | 18,043 | 126,301 | 234,559 | 306,731 | 1,641,913 | 2,147,117 | 3,987,503 | 27,912,521 |
| -1 | -7 | -13 | -17 | -91 | -119 | -221 | -1,547 | -18,043 | -126,301 | -234,559 | -306,731 | -1,641,913 | -2,147,117 | -3,987,503 | -27,912,521 |
Here are some more numbers to try:
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