A:
Positive:
1 x 120850255 x 241700525 x 48340129 x 41672579 x 152975145 x 83345211 x 57275395 x 30595725 x 166691055 x 114551975 x 61192291 x 5275
Negative:
-1 x -12085025-5 x -2417005-25 x -483401-29 x -416725-79 x -152975-145 x -83345-211 x -57275-395 x -30595-725 x -16669-1055 x -11455-1975 x -6119-2291 x -5275
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 12,085,025, 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 | 12,085,025 | |
| -1 | -12,085,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 12,085,025.
Example:
1 x 12,085,025 = 12,085,025
and
-1 x -12,085,025 = 12,085,025
Notice both answers equal 12,085,025
With that explanation out of the way, let's continue. Next, we take the number 12,085,025 and divide it by 2:
12,085,025 ÷ 2 = 6,042,512.5
If the quotient is a whole number, then 2 and 6,042,512.5 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 | 12,085,025 | |
| -1 | -12,085,025 |
Now, we try dividing 12,085,025 by 3:
12,085,025 ÷ 3 = 4,028,341.6667
If the quotient is a whole number, then 3 and 4,028,341.6667 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 | 12,085,025 | |
| -1 | -12,085,025 |
Let's try dividing by 4:
12,085,025 ÷ 4 = 3,021,256.25
If the quotient is a whole number, then 4 and 3,021,256.25 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 | 12,085,025 | |
| -1 | 12,085,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 29 | 79 | 145 | 211 | 395 | 725 | 1,055 | 1,975 | 2,291 | 5,275 | 6,119 | 11,455 | 16,669 | 30,595 | 57,275 | 83,345 | 152,975 | 416,725 | 483,401 | 2,417,005 | 12,085,025 |
| -1 | -5 | -25 | -29 | -79 | -145 | -211 | -395 | -725 | -1,055 | -1,975 | -2,291 | -5,275 | -6,119 | -11,455 | -16,669 | -30,595 | -57,275 | -83,345 | -152,975 | -416,725 | -483,401 | -2,417,005 | -12,085,025 |
Here are some more numbers to try:
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