A:
Positive:
1 x 368212911 x 33473937 x 9951783 x 44363109 x 33781407 x 9047913 x 40331199 x 3071
Negative:
-1 x -3682129-11 x -334739-37 x -99517-83 x -44363-109 x -33781-407 x -9047-913 x -4033-1199 x -3071
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 3,682,129, 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 | 3,682,129 | |
| -1 | -3,682,129 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 3,682,129.
Example:
1 x 3,682,129 = 3,682,129
and
-1 x -3,682,129 = 3,682,129
Notice both answers equal 3,682,129
With that explanation out of the way, let's continue. Next, we take the number 3,682,129 and divide it by 2:
3,682,129 ÷ 2 = 1,841,064.5
If the quotient is a whole number, then 2 and 1,841,064.5 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 | 3,682,129 | |
| -1 | -3,682,129 |
Now, we try dividing 3,682,129 by 3:
3,682,129 ÷ 3 = 1,227,376.3333
If the quotient is a whole number, then 3 and 1,227,376.3333 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 | 3,682,129 | |
| -1 | -3,682,129 |
Let's try dividing by 4:
3,682,129 ÷ 4 = 920,532.25
If the quotient is a whole number, then 4 and 920,532.25 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 | 3,682,129 | |
| -1 | 3,682,129 |
If you did it right, you will end up with this table:
| 1 | 11 | 37 | 83 | 109 | 407 | 913 | 1,199 | 3,071 | 4,033 | 9,047 | 33,781 | 44,363 | 99,517 | 334,739 | 3,682,129 |
| -1 | -11 | -37 | -83 | -109 | -407 | -913 | -1,199 | -3,071 | -4,033 | -9,047 | -33,781 | -44,363 | -99,517 | -334,739 | -3,682,129 |
Here are some more numbers to try:
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