A:
Positive:
1 x 2710236111 x 246385113 x 208479761 x 444301143 x 189527169 x 160369239 x 113399671 x 40391793 x 341771859 x 145792629 x 103093107 x 8723
Negative:
-1 x -27102361-11 x -2463851-13 x -2084797-61 x -444301-143 x -189527-169 x -160369-239 x -113399-671 x -40391-793 x -34177-1859 x -14579-2629 x -10309-3107 x -8723
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 27,102,361, 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 | 27,102,361 | |
| -1 | -27,102,361 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 27,102,361.
Example:
1 x 27,102,361 = 27,102,361
and
-1 x -27,102,361 = 27,102,361
Notice both answers equal 27,102,361
With that explanation out of the way, let's continue. Next, we take the number 27,102,361 and divide it by 2:
27,102,361 ÷ 2 = 13,551,180.5
If the quotient is a whole number, then 2 and 13,551,180.5 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 | 27,102,361 | |
| -1 | -27,102,361 |
Now, we try dividing 27,102,361 by 3:
27,102,361 ÷ 3 = 9,034,120.3333
If the quotient is a whole number, then 3 and 9,034,120.3333 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 | 27,102,361 | |
| -1 | -27,102,361 |
Let's try dividing by 4:
27,102,361 ÷ 4 = 6,775,590.25
If the quotient is a whole number, then 4 and 6,775,590.25 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 | 27,102,361 | |
| -1 | 27,102,361 |
If you did it right, you will end up with this table:
| 1 | 11 | 13 | 61 | 143 | 169 | 239 | 671 | 793 | 1,859 | 2,629 | 3,107 | 8,723 | 10,309 | 14,579 | 34,177 | 40,391 | 113,399 | 160,369 | 189,527 | 444,301 | 2,084,797 | 2,463,851 | 27,102,361 |
| -1 | -11 | -13 | -61 | -143 | -169 | -239 | -671 | -793 | -1,859 | -2,629 | -3,107 | -8,723 | -10,309 | -14,579 | -34,177 | -40,391 | -113,399 | -160,369 | -189,527 | -444,301 | -2,084,797 | -2,463,851 | -27,102,361 |
Here are some more numbers to try:
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