A:
Positive:
1 x 412011255 x 82402257 x 588587525 x 164804535 x 1177175125 x 329609175 x 235435875 x 47087
Negative:
-1 x -41201125-5 x -8240225-7 x -5885875-25 x -1648045-35 x -1177175-125 x -329609-175 x -235435-875 x -47087
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 41,201,125, 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 | 41,201,125 | |
| -1 | -41,201,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 41,201,125.
Example:
1 x 41,201,125 = 41,201,125
and
-1 x -41,201,125 = 41,201,125
Notice both answers equal 41,201,125
With that explanation out of the way, let's continue. Next, we take the number 41,201,125 and divide it by 2:
41,201,125 ÷ 2 = 20,600,562.5
If the quotient is a whole number, then 2 and 20,600,562.5 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 | 41,201,125 | |
| -1 | -41,201,125 |
Now, we try dividing 41,201,125 by 3:
41,201,125 ÷ 3 = 13,733,708.3333
If the quotient is a whole number, then 3 and 13,733,708.3333 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 | 41,201,125 | |
| -1 | -41,201,125 |
Let's try dividing by 4:
41,201,125 ÷ 4 = 10,300,281.25
If the quotient is a whole number, then 4 and 10,300,281.25 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 | 41,201,125 | |
| -1 | 41,201,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 125 | 175 | 875 | 47,087 | 235,435 | 329,609 | 1,177,175 | 1,648,045 | 5,885,875 | 8,240,225 | 41,201,125 |
| -1 | -5 | -7 | -25 | -35 | -125 | -175 | -875 | -47,087 | -235,435 | -329,609 | -1,177,175 | -1,648,045 | -5,885,875 | -8,240,225 | -41,201,125 |
Here are some more numbers to try:
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