A:
Positive:
1 x 101316255 x 20263257 x 144737525 x 40526535 x 289475125 x 81053175 x 57895875 x 11579
Negative:
-1 x -10131625-5 x -2026325-7 x -1447375-25 x -405265-35 x -289475-125 x -81053-175 x -57895-875 x -11579
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 10,131,625, 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 | 10,131,625 | |
| -1 | -10,131,625 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,131,625.
Example:
1 x 10,131,625 = 10,131,625
and
-1 x -10,131,625 = 10,131,625
Notice both answers equal 10,131,625
With that explanation out of the way, let's continue. Next, we take the number 10,131,625 and divide it by 2:
10,131,625 ÷ 2 = 5,065,812.5
If the quotient is a whole number, then 2 and 5,065,812.5 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 | 10,131,625 | |
| -1 | -10,131,625 |
Now, we try dividing 10,131,625 by 3:
10,131,625 ÷ 3 = 3,377,208.3333
If the quotient is a whole number, then 3 and 3,377,208.3333 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 | 10,131,625 | |
| -1 | -10,131,625 |
Let's try dividing by 4:
10,131,625 ÷ 4 = 2,532,906.25
If the quotient is a whole number, then 4 and 2,532,906.25 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 | 10,131,625 | |
| -1 | 10,131,625 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 125 | 175 | 875 | 11,579 | 57,895 | 81,053 | 289,475 | 405,265 | 1,447,375 | 2,026,325 | 10,131,625 |
| -1 | -5 | -7 | -25 | -35 | -125 | -175 | -875 | -11,579 | -57,895 | -81,053 | -289,475 | -405,265 | -1,447,375 | -2,026,325 | -10,131,625 |
Here are some more numbers to try:
Try the factor calculator