A:
Positive:
1 x 1205755 x 241157 x 1722513 x 927525 x 482335 x 344553 x 227565 x 185591 x 1325175 x 689265 x 455325 x 371
Negative:
-1 x -120575-5 x -24115-7 x -17225-13 x -9275-25 x -4823-35 x -3445-53 x -2275-65 x -1855-91 x -1325-175 x -689-265 x -455-325 x -371
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 120,575, 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 | 120,575 | |
| -1 | -120,575 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 120,575.
Example:
1 x 120,575 = 120,575
and
-1 x -120,575 = 120,575
Notice both answers equal 120,575
With that explanation out of the way, let's continue. Next, we take the number 120,575 and divide it by 2:
120,575 ÷ 2 = 60,287.5
If the quotient is a whole number, then 2 and 60,287.5 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 | 120,575 | |
| -1 | -120,575 |
Now, we try dividing 120,575 by 3:
120,575 ÷ 3 = 40,191.6667
If the quotient is a whole number, then 3 and 40,191.6667 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 | 120,575 | |
| -1 | -120,575 |
Let's try dividing by 4:
120,575 ÷ 4 = 30,143.75
If the quotient is a whole number, then 4 and 30,143.75 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 | 120,575 | |
| -1 | 120,575 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 13 | 25 | 35 | 53 | 65 | 91 | 175 | 265 | 325 | 371 | 455 | 689 | 1,325 | 1,855 | 2,275 | 3,445 | 4,823 | 9,275 | 17,225 | 24,115 | 120,575 |
| -1 | -5 | -7 | -13 | -25 | -35 | -53 | -65 | -91 | -175 | -265 | -325 | -371 | -455 | -689 | -1,325 | -1,855 | -2,275 | -3,445 | -4,823 | -9,275 | -17,225 | -24,115 | -120,575 |
Here are some more numbers to try:
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