A:
Positive:
1 x 411232255 x 822464511 x 373847513 x 316332525 x 164492955 x 74769565 x 632665143 x 287575275 x 149539325 x 126533715 x 575153575 x 11503
Negative:
-1 x -41123225-5 x -8224645-11 x -3738475-13 x -3163325-25 x -1644929-55 x -747695-65 x -632665-143 x -287575-275 x -149539-325 x -126533-715 x -57515-3575 x -11503
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 41,123,225, 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 | 41,123,225 | |
| -1 | -41,123,225 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 41,123,225.
Example:
1 x 41,123,225 = 41,123,225
and
-1 x -41,123,225 = 41,123,225
Notice both answers equal 41,123,225
With that explanation out of the way, let's continue. Next, we take the number 41,123,225 and divide it by 2:
41,123,225 ÷ 2 = 20,561,612.5
If the quotient is a whole number, then 2 and 20,561,612.5 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 | 41,123,225 | |
| -1 | -41,123,225 |
Now, we try dividing 41,123,225 by 3:
41,123,225 ÷ 3 = 13,707,741.6667
If the quotient is a whole number, then 3 and 13,707,741.6667 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 | 41,123,225 | |
| -1 | -41,123,225 |
Let's try dividing by 4:
41,123,225 ÷ 4 = 10,280,806.25
If the quotient is a whole number, then 4 and 10,280,806.25 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 | 41,123,225 | |
| -1 | 41,123,225 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 13 | 25 | 55 | 65 | 143 | 275 | 325 | 715 | 3,575 | 11,503 | 57,515 | 126,533 | 149,539 | 287,575 | 632,665 | 747,695 | 1,644,929 | 3,163,325 | 3,738,475 | 8,224,645 | 41,123,225 |
| -1 | -5 | -11 | -13 | -25 | -55 | -65 | -143 | -275 | -325 | -715 | -3,575 | -11,503 | -57,515 | -126,533 | -149,539 | -287,575 | -632,665 | -747,695 | -1,644,929 | -3,163,325 | -3,738,475 | -8,224,645 | -41,123,225 |
Here are some more numbers to try:
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