A:
Positive:
1 x 5002255 x 10004511 x 4547517 x 2942525 x 2000955 x 909585 x 5885107 x 4675187 x 2675275 x 1819425 x 1177535 x 935
Negative:
-1 x -500225-5 x -100045-11 x -45475-17 x -29425-25 x -20009-55 x -9095-85 x -5885-107 x -4675-187 x -2675-275 x -1819-425 x -1177-535 x -935
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 500,225, 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 | 500,225 | |
| -1 | -500,225 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 500,225.
Example:
1 x 500,225 = 500,225
and
-1 x -500,225 = 500,225
Notice both answers equal 500,225
With that explanation out of the way, let's continue. Next, we take the number 500,225 and divide it by 2:
500,225 ÷ 2 = 250,112.5
If the quotient is a whole number, then 2 and 250,112.5 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 | 500,225 | |
| -1 | -500,225 |
Now, we try dividing 500,225 by 3:
500,225 ÷ 3 = 166,741.6667
If the quotient is a whole number, then 3 and 166,741.6667 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 | 500,225 | |
| -1 | -500,225 |
Let's try dividing by 4:
500,225 ÷ 4 = 125,056.25
If the quotient is a whole number, then 4 and 125,056.25 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 | 500,225 | |
| -1 | 500,225 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 17 | 25 | 55 | 85 | 107 | 187 | 275 | 425 | 535 | 935 | 1,177 | 1,819 | 2,675 | 4,675 | 5,885 | 9,095 | 20,009 | 29,425 | 45,475 | 100,045 | 500,225 |
| -1 | -5 | -11 | -17 | -25 | -55 | -85 | -107 | -187 | -275 | -425 | -535 | -935 | -1,177 | -1,819 | -2,675 | -4,675 | -5,885 | -9,095 | -20,009 | -29,425 | -45,475 | -100,045 | -500,225 |
Here are some more numbers to try:
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