A:
Positive:
1 x 69382255 x 13876457 x 99117525 x 27752935 x 19823541 x 169225175 x 39647205 x 33845287 x 24175967 x 71751025 x 67691435 x 4835
Negative:
-1 x -6938225-5 x -1387645-7 x -991175-25 x -277529-35 x -198235-41 x -169225-175 x -39647-205 x -33845-287 x -24175-967 x -7175-1025 x -6769-1435 x -4835
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 6,938,225, 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 | 6,938,225 | |
| -1 | -6,938,225 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 6,938,225.
Example:
1 x 6,938,225 = 6,938,225
and
-1 x -6,938,225 = 6,938,225
Notice both answers equal 6,938,225
With that explanation out of the way, let's continue. Next, we take the number 6,938,225 and divide it by 2:
6,938,225 ÷ 2 = 3,469,112.5
If the quotient is a whole number, then 2 and 3,469,112.5 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 | 6,938,225 | |
| -1 | -6,938,225 |
Now, we try dividing 6,938,225 by 3:
6,938,225 ÷ 3 = 2,312,741.6667
If the quotient is a whole number, then 3 and 2,312,741.6667 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 | 6,938,225 | |
| -1 | -6,938,225 |
Let's try dividing by 4:
6,938,225 ÷ 4 = 1,734,556.25
If the quotient is a whole number, then 4 and 1,734,556.25 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 | 6,938,225 | |
| -1 | 6,938,225 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 41 | 175 | 205 | 287 | 967 | 1,025 | 1,435 | 4,835 | 6,769 | 7,175 | 24,175 | 33,845 | 39,647 | 169,225 | 198,235 | 277,529 | 991,175 | 1,387,645 | 6,938,225 |
| -1 | -5 | -7 | -25 | -35 | -41 | -175 | -205 | -287 | -967 | -1,025 | -1,435 | -4,835 | -6,769 | -7,175 | -24,175 | -33,845 | -39,647 | -169,225 | -198,235 | -277,529 | -991,175 | -1,387,645 | -6,938,225 |
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