A:
Positive:
1 x 1058755 x 211757 x 1512511 x 962525 x 423535 x 302555 x 192577 x 1375121 x 875125 x 847175 x 605275 x 385
Negative:
-1 x -105875-5 x -21175-7 x -15125-11 x -9625-25 x -4235-35 x -3025-55 x -1925-77 x -1375-121 x -875-125 x -847-175 x -605-275 x -385
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 105,875, 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 | 105,875 | |
| -1 | -105,875 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 105,875.
Example:
1 x 105,875 = 105,875
and
-1 x -105,875 = 105,875
Notice both answers equal 105,875
With that explanation out of the way, let's continue. Next, we take the number 105,875 and divide it by 2:
105,875 ÷ 2 = 52,937.5
If the quotient is a whole number, then 2 and 52,937.5 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 | 105,875 | |
| -1 | -105,875 |
Now, we try dividing 105,875 by 3:
105,875 ÷ 3 = 35,291.6667
If the quotient is a whole number, then 3 and 35,291.6667 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 | 105,875 | |
| -1 | -105,875 |
Let's try dividing by 4:
105,875 ÷ 4 = 26,468.75
If the quotient is a whole number, then 4 and 26,468.75 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 | 105,875 | |
| -1 | 105,875 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 11 | 25 | 35 | 55 | 77 | 121 | 125 | 175 | 275 | 385 | 605 | 847 | 875 | 1,375 | 1,925 | 3,025 | 4,235 | 9,625 | 15,125 | 21,175 | 105,875 |
| -1 | -5 | -7 | -11 | -25 | -35 | -55 | -77 | -121 | -125 | -175 | -275 | -385 | -605 | -847 | -875 | -1,375 | -1,925 | -3,025 | -4,235 | -9,625 | -15,125 | -21,175 | -105,875 |
Here are some more numbers to try:
Try the factor calculator