A:
Positive:
1 x 104152255 x 208304525 x 41660931 x 33597589 x 117025151 x 68975155 x 67195445 x 23405755 x 13795775 x 134392225 x 46812759 x 3775
Negative:
-1 x -10415225-5 x -2083045-25 x -416609-31 x -335975-89 x -117025-151 x -68975-155 x -67195-445 x -23405-755 x -13795-775 x -13439-2225 x -4681-2759 x -3775
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 10,415,225, 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 | 10,415,225 | |
| -1 | -10,415,225 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,415,225.
Example:
1 x 10,415,225 = 10,415,225
and
-1 x -10,415,225 = 10,415,225
Notice both answers equal 10,415,225
With that explanation out of the way, let's continue. Next, we take the number 10,415,225 and divide it by 2:
10,415,225 ÷ 2 = 5,207,612.5
If the quotient is a whole number, then 2 and 5,207,612.5 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 | 10,415,225 | |
| -1 | -10,415,225 |
Now, we try dividing 10,415,225 by 3:
10,415,225 ÷ 3 = 3,471,741.6667
If the quotient is a whole number, then 3 and 3,471,741.6667 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 | 10,415,225 | |
| -1 | -10,415,225 |
Let's try dividing by 4:
10,415,225 ÷ 4 = 2,603,806.25
If the quotient is a whole number, then 4 and 2,603,806.25 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 | 10,415,225 | |
| -1 | 10,415,225 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 31 | 89 | 151 | 155 | 445 | 755 | 775 | 2,225 | 2,759 | 3,775 | 4,681 | 13,439 | 13,795 | 23,405 | 67,195 | 68,975 | 117,025 | 335,975 | 416,609 | 2,083,045 | 10,415,225 |
| -1 | -5 | -25 | -31 | -89 | -151 | -155 | -445 | -755 | -775 | -2,225 | -2,759 | -3,775 | -4,681 | -13,439 | -13,795 | -23,405 | -67,195 | -68,975 | -117,025 | -335,975 | -416,609 | -2,083,045 | -10,415,225 |
Here are some more numbers to try:
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