A:
Positive:
1 x 103132255 x 206264513 x 79332525 x 41252965 x 158665169 x 61025325 x 31733845 x 122052441 x 4225
Negative:
-1 x -10313225-5 x -2062645-13 x -793325-25 x -412529-65 x -158665-169 x -61025-325 x -31733-845 x -12205-2441 x -4225
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 10,313,225, 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 | 10,313,225 | |
| -1 | -10,313,225 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,313,225.
Example:
1 x 10,313,225 = 10,313,225
and
-1 x -10,313,225 = 10,313,225
Notice both answers equal 10,313,225
With that explanation out of the way, let's continue. Next, we take the number 10,313,225 and divide it by 2:
10,313,225 ÷ 2 = 5,156,612.5
If the quotient is a whole number, then 2 and 5,156,612.5 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 | 10,313,225 | |
| -1 | -10,313,225 |
Now, we try dividing 10,313,225 by 3:
10,313,225 ÷ 3 = 3,437,741.6667
If the quotient is a whole number, then 3 and 3,437,741.6667 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 | 10,313,225 | |
| -1 | -10,313,225 |
Let's try dividing by 4:
10,313,225 ÷ 4 = 2,578,306.25
If the quotient is a whole number, then 4 and 2,578,306.25 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 | 10,313,225 | |
| -1 | 10,313,225 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 25 | 65 | 169 | 325 | 845 | 2,441 | 4,225 | 12,205 | 31,733 | 61,025 | 158,665 | 412,529 | 793,325 | 2,062,645 | 10,313,225 |
| -1 | -5 | -13 | -25 | -65 | -169 | -325 | -845 | -2,441 | -4,225 | -12,205 | -31,733 | -61,025 | -158,665 | -412,529 | -793,325 | -2,062,645 | -10,313,225 |
Here are some more numbers to try:
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