A:
Positive:
1 x 3410272123 x 148272761 x 559061109 x 312869223 x 1529271403 x 243072507 x 136035129 x 6649
Negative:
-1 x -34102721-23 x -1482727-61 x -559061-109 x -312869-223 x -152927-1403 x -24307-2507 x -13603-5129 x -6649
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 34,102,721, 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 | 34,102,721 | |
| -1 | -34,102,721 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 34,102,721.
Example:
1 x 34,102,721 = 34,102,721
and
-1 x -34,102,721 = 34,102,721
Notice both answers equal 34,102,721
With that explanation out of the way, let's continue. Next, we take the number 34,102,721 and divide it by 2:
34,102,721 ÷ 2 = 17,051,360.5
If the quotient is a whole number, then 2 and 17,051,360.5 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 | 34,102,721 | |
| -1 | -34,102,721 |
Now, we try dividing 34,102,721 by 3:
34,102,721 ÷ 3 = 11,367,573.6667
If the quotient is a whole number, then 3 and 11,367,573.6667 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 | 34,102,721 | |
| -1 | -34,102,721 |
Let's try dividing by 4:
34,102,721 ÷ 4 = 8,525,680.25
If the quotient is a whole number, then 4 and 8,525,680.25 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 | 34,102,721 | |
| -1 | 34,102,721 |
If you did it right, you will end up with this table:
| 1 | 23 | 61 | 109 | 223 | 1,403 | 2,507 | 5,129 | 6,649 | 13,603 | 24,307 | 152,927 | 312,869 | 559,061 | 1,482,727 | 34,102,721 |
| -1 | -23 | -61 | -109 | -223 | -1,403 | -2,507 | -5,129 | -6,649 | -13,603 | -24,307 | -152,927 | -312,869 | -559,061 | -1,482,727 | -34,102,721 |
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