A:
Positive:
1 x 34124097 x 48748711 x 31021913 x 26249349 x 6964177 x 4431791 x 37499143 x 23863487 x 7007539 x 6331637 x 53571001 x 3409
Negative:
-1 x -3412409-7 x -487487-11 x -310219-13 x -262493-49 x -69641-77 x -44317-91 x -37499-143 x -23863-487 x -7007-539 x -6331-637 x -5357-1001 x -3409
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 3,412,409, 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 | 3,412,409 | |
| -1 | -3,412,409 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 3,412,409.
Example:
1 x 3,412,409 = 3,412,409
and
-1 x -3,412,409 = 3,412,409
Notice both answers equal 3,412,409
With that explanation out of the way, let's continue. Next, we take the number 3,412,409 and divide it by 2:
3,412,409 ÷ 2 = 1,706,204.5
If the quotient is a whole number, then 2 and 1,706,204.5 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 | 3,412,409 | |
| -1 | -3,412,409 |
Now, we try dividing 3,412,409 by 3:
3,412,409 ÷ 3 = 1,137,469.6667
If the quotient is a whole number, then 3 and 1,137,469.6667 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 | 3,412,409 | |
| -1 | -3,412,409 |
Let's try dividing by 4:
3,412,409 ÷ 4 = 853,102.25
If the quotient is a whole number, then 4 and 853,102.25 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 | 3,412,409 | |
| -1 | 3,412,409 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 13 | 49 | 77 | 91 | 143 | 487 | 539 | 637 | 1,001 | 3,409 | 5,357 | 6,331 | 7,007 | 23,863 | 37,499 | 44,317 | 69,641 | 262,493 | 310,219 | 487,487 | 3,412,409 |
| -1 | -7 | -11 | -13 | -49 | -77 | -91 | -143 | -487 | -539 | -637 | -1,001 | -3,409 | -5,357 | -6,331 | -7,007 | -23,863 | -37,499 | -44,317 | -69,641 | -262,493 | -310,219 | -487,487 | -3,412,409 |
Here are some more numbers to try:
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