A:
Positive:
1 x 103100755 x 206201517 x 60647525 x 41240385 x 121295289 x 35675425 x 242591427 x 72251445 x 7135
Negative:
-1 x -10310075-5 x -2062015-17 x -606475-25 x -412403-85 x -121295-289 x -35675-425 x -24259-1427 x -7225-1445 x -7135
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 10,310,075, 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 | 10,310,075 | |
| -1 | -10,310,075 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,310,075.
Example:
1 x 10,310,075 = 10,310,075
and
-1 x -10,310,075 = 10,310,075
Notice both answers equal 10,310,075
With that explanation out of the way, let's continue. Next, we take the number 10,310,075 and divide it by 2:
10,310,075 ÷ 2 = 5,155,037.5
If the quotient is a whole number, then 2 and 5,155,037.5 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 | 10,310,075 | |
| -1 | -10,310,075 |
Now, we try dividing 10,310,075 by 3:
10,310,075 ÷ 3 = 3,436,691.6667
If the quotient is a whole number, then 3 and 3,436,691.6667 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 | 10,310,075 | |
| -1 | -10,310,075 |
Let's try dividing by 4:
10,310,075 ÷ 4 = 2,577,518.75
If the quotient is a whole number, then 4 and 2,577,518.75 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 | 10,310,075 | |
| -1 | 10,310,075 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 25 | 85 | 289 | 425 | 1,427 | 1,445 | 7,135 | 7,225 | 24,259 | 35,675 | 121,295 | 412,403 | 606,475 | 2,062,015 | 10,310,075 |
| -1 | -5 | -17 | -25 | -85 | -289 | -425 | -1,427 | -1,445 | -7,135 | -7,225 | -24,259 | -35,675 | -121,295 | -412,403 | -606,475 | -2,062,015 | -10,310,075 |
Here are some more numbers to try:
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