A:
Positive:
1 x 1300755 x 2601511 x 1182525 x 520343 x 302555 x 2365121 x 1075215 x 605275 x 473
Negative:
-1 x -130075-5 x -26015-11 x -11825-25 x -5203-43 x -3025-55 x -2365-121 x -1075-215 x -605-275 x -473
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 130,075, 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 | 130,075 | |
| -1 | -130,075 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 130,075.
Example:
1 x 130,075 = 130,075
and
-1 x -130,075 = 130,075
Notice both answers equal 130,075
With that explanation out of the way, let's continue. Next, we take the number 130,075 and divide it by 2:
130,075 ÷ 2 = 65,037.5
If the quotient is a whole number, then 2 and 65,037.5 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 | 130,075 | |
| -1 | -130,075 |
Now, we try dividing 130,075 by 3:
130,075 ÷ 3 = 43,358.3333
If the quotient is a whole number, then 3 and 43,358.3333 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 | 130,075 | |
| -1 | -130,075 |
Let's try dividing by 4:
130,075 ÷ 4 = 32,518.75
If the quotient is a whole number, then 4 and 32,518.75 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 | 130,075 | |
| -1 | 130,075 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 25 | 43 | 55 | 121 | 215 | 275 | 473 | 605 | 1,075 | 2,365 | 3,025 | 5,203 | 11,825 | 26,015 | 130,075 |
| -1 | -5 | -11 | -25 | -43 | -55 | -121 | -215 | -275 | -473 | -605 | -1,075 | -2,365 | -3,025 | -5,203 | -11,825 | -26,015 | -130,075 |
Here are some more numbers to try:
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