A:
Positive:
1 x 1001253255 x 2002506517 x 588972523 x 435327525 x 400501385 x 1177945115 x 870655391 x 256075425 x 235589575 x 1741311955 x 512159775 x 10243
Negative:
-1 x -100125325-5 x -20025065-17 x -5889725-23 x -4353275-25 x -4005013-85 x -1177945-115 x -870655-391 x -256075-425 x -235589-575 x -174131-1955 x -51215-9775 x -10243
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 100,125,325, 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 | 100,125,325 | |
| -1 | -100,125,325 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 100,125,325.
Example:
1 x 100,125,325 = 100,125,325
and
-1 x -100,125,325 = 100,125,325
Notice both answers equal 100,125,325
With that explanation out of the way, let's continue. Next, we take the number 100,125,325 and divide it by 2:
100,125,325 ÷ 2 = 50,062,662.5
If the quotient is a whole number, then 2 and 50,062,662.5 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 | 100,125,325 | |
| -1 | -100,125,325 |
Now, we try dividing 100,125,325 by 3:
100,125,325 ÷ 3 = 33,375,108.3333
If the quotient is a whole number, then 3 and 33,375,108.3333 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 | 100,125,325 | |
| -1 | -100,125,325 |
Let's try dividing by 4:
100,125,325 ÷ 4 = 25,031,331.25
If the quotient is a whole number, then 4 and 25,031,331.25 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 | 100,125,325 | |
| -1 | 100,125,325 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 23 | 25 | 85 | 115 | 391 | 425 | 575 | 1,955 | 9,775 | 10,243 | 51,215 | 174,131 | 235,589 | 256,075 | 870,655 | 1,177,945 | 4,005,013 | 4,353,275 | 5,889,725 | 20,025,065 | 100,125,325 |
| -1 | -5 | -17 | -23 | -25 | -85 | -115 | -391 | -425 | -575 | -1,955 | -9,775 | -10,243 | -51,215 | -174,131 | -235,589 | -256,075 | -870,655 | -1,177,945 | -4,005,013 | -4,353,275 | -5,889,725 | -20,025,065 | -100,125,325 |
Here are some more numbers to try:
Try the factor calculator