A:
Positive:
1 x 102510255 x 205020525 x 41004141 x 25002573 x 140425137 x 74825205 x 50005365 x 28085685 x 149651025 x 100011825 x 56172993 x 3425
Negative:
-1 x -10251025-5 x -2050205-25 x -410041-41 x -250025-73 x -140425-137 x -74825-205 x -50005-365 x -28085-685 x -14965-1025 x -10001-1825 x -5617-2993 x -3425
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 10,251,025, 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 | 10,251,025 | |
| -1 | -10,251,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,251,025.
Example:
1 x 10,251,025 = 10,251,025
and
-1 x -10,251,025 = 10,251,025
Notice both answers equal 10,251,025
With that explanation out of the way, let's continue. Next, we take the number 10,251,025 and divide it by 2:
10,251,025 ÷ 2 = 5,125,512.5
If the quotient is a whole number, then 2 and 5,125,512.5 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 | 10,251,025 | |
| -1 | -10,251,025 |
Now, we try dividing 10,251,025 by 3:
10,251,025 ÷ 3 = 3,417,008.3333
If the quotient is a whole number, then 3 and 3,417,008.3333 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 | 10,251,025 | |
| -1 | -10,251,025 |
Let's try dividing by 4:
10,251,025 ÷ 4 = 2,562,756.25
If the quotient is a whole number, then 4 and 2,562,756.25 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 | 10,251,025 | |
| -1 | 10,251,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 41 | 73 | 137 | 205 | 365 | 685 | 1,025 | 1,825 | 2,993 | 3,425 | 5,617 | 10,001 | 14,965 | 28,085 | 50,005 | 74,825 | 140,425 | 250,025 | 410,041 | 2,050,205 | 10,251,025 |
| -1 | -5 | -25 | -41 | -73 | -137 | -205 | -365 | -685 | -1,025 | -1,825 | -2,993 | -3,425 | -5,617 | -10,001 | -14,965 | -28,085 | -50,005 | -74,825 | -140,425 | -250,025 | -410,041 | -2,050,205 | -10,251,025 |
Here are some more numbers to try:
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