A:
Positive:
1 x 558255 x 111657 x 797511 x 507525 x 223329 x 192535 x 159555 x 101577 x 725145 x 385175 x 319203 x 275
Negative:
-1 x -55825-5 x -11165-7 x -7975-11 x -5075-25 x -2233-29 x -1925-35 x -1595-55 x -1015-77 x -725-145 x -385-175 x -319-203 x -275
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 55,825, 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 | 55,825 | |
| -1 | -55,825 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 55,825.
Example:
1 x 55,825 = 55,825
and
-1 x -55,825 = 55,825
Notice both answers equal 55,825
With that explanation out of the way, let's continue. Next, we take the number 55,825 and divide it by 2:
55,825 ÷ 2 = 27,912.5
If the quotient is a whole number, then 2 and 27,912.5 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 | 55,825 | |
| -1 | -55,825 |
Now, we try dividing 55,825 by 3:
55,825 ÷ 3 = 18,608.3333
If the quotient is a whole number, then 3 and 18,608.3333 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 | 55,825 | |
| -1 | -55,825 |
Let's try dividing by 4:
55,825 ÷ 4 = 13,956.25
If the quotient is a whole number, then 4 and 13,956.25 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 | 55,825 | |
| -1 | 55,825 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 11 | 25 | 29 | 35 | 55 | 77 | 145 | 175 | 203 | 275 | 319 | 385 | 725 | 1,015 | 1,595 | 1,925 | 2,233 | 5,075 | 7,975 | 11,165 | 55,825 |
| -1 | -5 | -7 | -11 | -25 | -29 | -35 | -55 | -77 | -145 | -175 | -203 | -275 | -319 | -385 | -725 | -1,015 | -1,595 | -1,925 | -2,233 | -5,075 | -7,975 | -11,165 | -55,825 |
Here are some more numbers to try:
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