A:
Positive:
1 x 209730255 x 419460525 x 83892159 x 355475241 x 87025295 x 710951205 x 174051475 x 142193481 x 6025
Negative:
-1 x -20973025-5 x -4194605-25 x -838921-59 x -355475-241 x -87025-295 x -71095-1205 x -17405-1475 x -14219-3481 x -6025
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 20,973,025, 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 | 20,973,025 | |
| -1 | -20,973,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 20,973,025.
Example:
1 x 20,973,025 = 20,973,025
and
-1 x -20,973,025 = 20,973,025
Notice both answers equal 20,973,025
With that explanation out of the way, let's continue. Next, we take the number 20,973,025 and divide it by 2:
20,973,025 ÷ 2 = 10,486,512.5
If the quotient is a whole number, then 2 and 10,486,512.5 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 | 20,973,025 | |
| -1 | -20,973,025 |
Now, we try dividing 20,973,025 by 3:
20,973,025 ÷ 3 = 6,991,008.3333
If the quotient is a whole number, then 3 and 6,991,008.3333 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 | 20,973,025 | |
| -1 | -20,973,025 |
Let's try dividing by 4:
20,973,025 ÷ 4 = 5,243,256.25
If the quotient is a whole number, then 4 and 5,243,256.25 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 | 20,973,025 | |
| -1 | 20,973,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 59 | 241 | 295 | 1,205 | 1,475 | 3,481 | 6,025 | 14,219 | 17,405 | 71,095 | 87,025 | 355,475 | 838,921 | 4,194,605 | 20,973,025 |
| -1 | -5 | -25 | -59 | -241 | -295 | -1,205 | -1,475 | -3,481 | -6,025 | -14,219 | -17,405 | -71,095 | -87,025 | -355,475 | -838,921 | -4,194,605 | -20,973,025 |
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