A:
Positive:
1 x 348103497 x 497290743 x 809543109 x 319361301 x 115649763 x 456231061 x 328094687 x 7427
Negative:
-1 x -34810349-7 x -4972907-43 x -809543-109 x -319361-301 x -115649-763 x -45623-1061 x -32809-4687 x -7427
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 34,810,349, 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 | 34,810,349 | |
| -1 | -34,810,349 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 34,810,349.
Example:
1 x 34,810,349 = 34,810,349
and
-1 x -34,810,349 = 34,810,349
Notice both answers equal 34,810,349
With that explanation out of the way, let's continue. Next, we take the number 34,810,349 and divide it by 2:
34,810,349 ÷ 2 = 17,405,174.5
If the quotient is a whole number, then 2 and 17,405,174.5 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 | 34,810,349 | |
| -1 | -34,810,349 |
Now, we try dividing 34,810,349 by 3:
34,810,349 ÷ 3 = 11,603,449.6667
If the quotient is a whole number, then 3 and 11,603,449.6667 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 | 34,810,349 | |
| -1 | -34,810,349 |
Let's try dividing by 4:
34,810,349 ÷ 4 = 8,702,587.25
If the quotient is a whole number, then 4 and 8,702,587.25 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 | 34,810,349 | |
| -1 | 34,810,349 |
If you did it right, you will end up with this table:
| 1 | 7 | 43 | 109 | 301 | 763 | 1,061 | 4,687 | 7,427 | 32,809 | 45,623 | 115,649 | 319,361 | 809,543 | 4,972,907 | 34,810,349 |
| -1 | -7 | -43 | -109 | -301 | -763 | -1,061 | -4,687 | -7,427 | -32,809 | -45,623 | -115,649 | -319,361 | -809,543 | -4,972,907 | -34,810,349 |
Here are some more numbers to try:
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