A:
Positive:
1 x 100057255 x 200114525 x 40022929 x 34502537 x 270425145 x 69005185 x 54085373 x 26825725 x 13801925 x 108171073 x 93251865 x 5365
Negative:
-1 x -10005725-5 x -2001145-25 x -400229-29 x -345025-37 x -270425-145 x -69005-185 x -54085-373 x -26825-725 x -13801-925 x -10817-1073 x -9325-1865 x -5365
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 10,005,725, 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 | 10,005,725 | |
| -1 | -10,005,725 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,005,725.
Example:
1 x 10,005,725 = 10,005,725
and
-1 x -10,005,725 = 10,005,725
Notice both answers equal 10,005,725
With that explanation out of the way, let's continue. Next, we take the number 10,005,725 and divide it by 2:
10,005,725 ÷ 2 = 5,002,862.5
If the quotient is a whole number, then 2 and 5,002,862.5 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 | 10,005,725 | |
| -1 | -10,005,725 |
Now, we try dividing 10,005,725 by 3:
10,005,725 ÷ 3 = 3,335,241.6667
If the quotient is a whole number, then 3 and 3,335,241.6667 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 | 10,005,725 | |
| -1 | -10,005,725 |
Let's try dividing by 4:
10,005,725 ÷ 4 = 2,501,431.25
If the quotient is a whole number, then 4 and 2,501,431.25 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 | 10,005,725 | |
| -1 | 10,005,725 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 29 | 37 | 145 | 185 | 373 | 725 | 925 | 1,073 | 1,865 | 5,365 | 9,325 | 10,817 | 13,801 | 26,825 | 54,085 | 69,005 | 270,425 | 345,025 | 400,229 | 2,001,145 | 10,005,725 |
| -1 | -5 | -25 | -29 | -37 | -145 | -185 | -373 | -725 | -925 | -1,073 | -1,865 | -5,365 | -9,325 | -10,817 | -13,801 | -26,825 | -54,085 | -69,005 | -270,425 | -345,025 | -400,229 | -2,001,145 | -10,005,725 |
Here are some more numbers to try:
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