A:
Positive:
1 x 414065055 x 82813017 x 591521535 x 1183043607 x 682151949 x 212453035 x 136434249 x 9745
Negative:
-1 x -41406505-5 x -8281301-7 x -5915215-35 x -1183043-607 x -68215-1949 x -21245-3035 x -13643-4249 x -9745
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 41,406,505, 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 | 41,406,505 | |
| -1 | -41,406,505 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 41,406,505.
Example:
1 x 41,406,505 = 41,406,505
and
-1 x -41,406,505 = 41,406,505
Notice both answers equal 41,406,505
With that explanation out of the way, let's continue. Next, we take the number 41,406,505 and divide it by 2:
41,406,505 ÷ 2 = 20,703,252.5
If the quotient is a whole number, then 2 and 20,703,252.5 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 | 41,406,505 | |
| -1 | -41,406,505 |
Now, we try dividing 41,406,505 by 3:
41,406,505 ÷ 3 = 13,802,168.3333
If the quotient is a whole number, then 3 and 13,802,168.3333 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 | 41,406,505 | |
| -1 | -41,406,505 |
Let's try dividing by 4:
41,406,505 ÷ 4 = 10,351,626.25
If the quotient is a whole number, then 4 and 10,351,626.25 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 | 41,406,505 | |
| -1 | 41,406,505 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 35 | 607 | 1,949 | 3,035 | 4,249 | 9,745 | 13,643 | 21,245 | 68,215 | 1,183,043 | 5,915,215 | 8,281,301 | 41,406,505 |
| -1 | -5 | -7 | -35 | -607 | -1,949 | -3,035 | -4,249 | -9,745 | -13,643 | -21,245 | -68,215 | -1,183,043 | -5,915,215 | -8,281,301 | -41,406,505 |
Here are some more numbers to try:
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