A:
Positive:
1 x 411052255 x 82210457 x 587217525 x 164420931 x 132597535 x 1174435155 x 265195175 x 234887217 x 189425775 x 530391085 x 378855425 x 7577
Negative:
-1 x -41105225-5 x -8221045-7 x -5872175-25 x -1644209-31 x -1325975-35 x -1174435-155 x -265195-175 x -234887-217 x -189425-775 x -53039-1085 x -37885-5425 x -7577
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 41,105,225, 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 | 41,105,225 | |
| -1 | -41,105,225 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 41,105,225.
Example:
1 x 41,105,225 = 41,105,225
and
-1 x -41,105,225 = 41,105,225
Notice both answers equal 41,105,225
With that explanation out of the way, let's continue. Next, we take the number 41,105,225 and divide it by 2:
41,105,225 ÷ 2 = 20,552,612.5
If the quotient is a whole number, then 2 and 20,552,612.5 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 | 41,105,225 | |
| -1 | -41,105,225 |
Now, we try dividing 41,105,225 by 3:
41,105,225 ÷ 3 = 13,701,741.6667
If the quotient is a whole number, then 3 and 13,701,741.6667 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 | 41,105,225 | |
| -1 | -41,105,225 |
Let's try dividing by 4:
41,105,225 ÷ 4 = 10,276,306.25
If the quotient is a whole number, then 4 and 10,276,306.25 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 | 41,105,225 | |
| -1 | 41,105,225 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 31 | 35 | 155 | 175 | 217 | 775 | 1,085 | 5,425 | 7,577 | 37,885 | 53,039 | 189,425 | 234,887 | 265,195 | 1,174,435 | 1,325,975 | 1,644,209 | 5,872,175 | 8,221,045 | 41,105,225 |
| -1 | -5 | -7 | -25 | -31 | -35 | -155 | -175 | -217 | -775 | -1,085 | -5,425 | -7,577 | -37,885 | -53,039 | -189,425 | -234,887 | -265,195 | -1,174,435 | -1,325,975 | -1,644,209 | -5,872,175 | -8,221,045 | -41,105,225 |
Here are some more numbers to try:
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