A:
Positive:
1 x 1090255 x 218057 x 1557525 x 436135 x 311549 x 222589 x 1225175 x 623245 x 445
Negative:
-1 x -109025-5 x -21805-7 x -15575-25 x -4361-35 x -3115-49 x -2225-89 x -1225-175 x -623-245 x -445
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 109,025, 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 | 109,025 | |
| -1 | -109,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 109,025.
Example:
1 x 109,025 = 109,025
and
-1 x -109,025 = 109,025
Notice both answers equal 109,025
With that explanation out of the way, let's continue. Next, we take the number 109,025 and divide it by 2:
109,025 ÷ 2 = 54,512.5
If the quotient is a whole number, then 2 and 54,512.5 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 | 109,025 | |
| -1 | -109,025 |
Now, we try dividing 109,025 by 3:
109,025 ÷ 3 = 36,341.6667
If the quotient is a whole number, then 3 and 36,341.6667 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 | 109,025 | |
| -1 | -109,025 |
Let's try dividing by 4:
109,025 ÷ 4 = 27,256.25
If the quotient is a whole number, then 4 and 27,256.25 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 | 109,025 | |
| -1 | 109,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 49 | 89 | 175 | 245 | 445 | 623 | 1,225 | 2,225 | 3,115 | 4,361 | 15,575 | 21,805 | 109,025 |
| -1 | -5 | -7 | -25 | -35 | -49 | -89 | -175 | -245 | -445 | -623 | -1,225 | -2,225 | -3,115 | -4,361 | -15,575 | -21,805 | -109,025 |
Here are some more numbers to try:
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