A:
Positive:
1 x 278781237 x 398258913 x 214447183 x 33588191 x 306353581 x 479831079 x 258373691 x 7553
Negative:
-1 x -27878123-7 x -3982589-13 x -2144471-83 x -335881-91 x -306353-581 x -47983-1079 x -25837-3691 x -7553
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 27,878,123, 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 | 27,878,123 | |
| -1 | -27,878,123 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 27,878,123.
Example:
1 x 27,878,123 = 27,878,123
and
-1 x -27,878,123 = 27,878,123
Notice both answers equal 27,878,123
With that explanation out of the way, let's continue. Next, we take the number 27,878,123 and divide it by 2:
27,878,123 ÷ 2 = 13,939,061.5
If the quotient is a whole number, then 2 and 13,939,061.5 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 | 27,878,123 | |
| -1 | -27,878,123 |
Now, we try dividing 27,878,123 by 3:
27,878,123 ÷ 3 = 9,292,707.6667
If the quotient is a whole number, then 3 and 9,292,707.6667 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 | 27,878,123 | |
| -1 | -27,878,123 |
Let's try dividing by 4:
27,878,123 ÷ 4 = 6,969,530.75
If the quotient is a whole number, then 4 and 6,969,530.75 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 | 27,878,123 | |
| -1 | 27,878,123 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 83 | 91 | 581 | 1,079 | 3,691 | 7,553 | 25,837 | 47,983 | 306,353 | 335,881 | 2,144,471 | 3,982,589 | 27,878,123 |
| -1 | -7 | -13 | -83 | -91 | -581 | -1,079 | -3,691 | -7,553 | -25,837 | -47,983 | -306,353 | -335,881 | -2,144,471 | -3,982,589 | -27,878,123 |
Here are some more numbers to try:
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