A:
Positive:
1 x 103012255 x 206024511 x 93647525 x 41204947 x 21917555 x 187295235 x 43835275 x 37459517 x 19925797 x 129251175 x 87672585 x 3985
Negative:
-1 x -10301225-5 x -2060245-11 x -936475-25 x -412049-47 x -219175-55 x -187295-235 x -43835-275 x -37459-517 x -19925-797 x -12925-1175 x -8767-2585 x -3985
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 10,301,225, 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 | 10,301,225 | |
| -1 | -10,301,225 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,301,225.
Example:
1 x 10,301,225 = 10,301,225
and
-1 x -10,301,225 = 10,301,225
Notice both answers equal 10,301,225
With that explanation out of the way, let's continue. Next, we take the number 10,301,225 and divide it by 2:
10,301,225 ÷ 2 = 5,150,612.5
If the quotient is a whole number, then 2 and 5,150,612.5 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 | 10,301,225 | |
| -1 | -10,301,225 |
Now, we try dividing 10,301,225 by 3:
10,301,225 ÷ 3 = 3,433,741.6667
If the quotient is a whole number, then 3 and 3,433,741.6667 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 | 10,301,225 | |
| -1 | -10,301,225 |
Let's try dividing by 4:
10,301,225 ÷ 4 = 2,575,306.25
If the quotient is a whole number, then 4 and 2,575,306.25 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 | 10,301,225 | |
| -1 | 10,301,225 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 25 | 47 | 55 | 235 | 275 | 517 | 797 | 1,175 | 2,585 | 3,985 | 8,767 | 12,925 | 19,925 | 37,459 | 43,835 | 187,295 | 219,175 | 412,049 | 936,475 | 2,060,245 | 10,301,225 |
| -1 | -5 | -11 | -25 | -47 | -55 | -235 | -275 | -517 | -797 | -1,175 | -2,585 | -3,985 | -8,767 | -12,925 | -19,925 | -37,459 | -43,835 | -187,295 | -219,175 | -412,049 | -936,475 | -2,060,245 | -10,301,225 |
Here are some more numbers to try:
Try the factor calculator