A:
Positive:
1 x 1030755 x 206157 x 1472519 x 542525 x 412331 x 332535 x 294595 x 1085133 x 775155 x 665175 x 589217 x 475
Negative:
-1 x -103075-5 x -20615-7 x -14725-19 x -5425-25 x -4123-31 x -3325-35 x -2945-95 x -1085-133 x -775-155 x -665-175 x -589-217 x -475
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 103,075, 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 | 103,075 | |
| -1 | -103,075 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 103,075.
Example:
1 x 103,075 = 103,075
and
-1 x -103,075 = 103,075
Notice both answers equal 103,075
With that explanation out of the way, let's continue. Next, we take the number 103,075 and divide it by 2:
103,075 ÷ 2 = 51,537.5
If the quotient is a whole number, then 2 and 51,537.5 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 | 103,075 | |
| -1 | -103,075 |
Now, we try dividing 103,075 by 3:
103,075 ÷ 3 = 34,358.3333
If the quotient is a whole number, then 3 and 34,358.3333 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 | 103,075 | |
| -1 | -103,075 |
Let's try dividing by 4:
103,075 ÷ 4 = 25,768.75
If the quotient is a whole number, then 4 and 25,768.75 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 | 103,075 | |
| -1 | 103,075 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 19 | 25 | 31 | 35 | 95 | 133 | 155 | 175 | 217 | 475 | 589 | 665 | 775 | 1,085 | 2,945 | 3,325 | 4,123 | 5,425 | 14,725 | 20,615 | 103,075 |
| -1 | -5 | -7 | -19 | -25 | -31 | -35 | -95 | -133 | -155 | -175 | -217 | -475 | -589 | -665 | -775 | -1,085 | -2,945 | -3,325 | -4,123 | -5,425 | -14,725 | -20,615 | -103,075 |
Here are some more numbers to try:
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