A:
Positive:
1 x 410055317 x 585793343 x 95361759 x 695009301 x 136231413 x 992872309 x 177592537 x 16163
Negative:
-1 x -41005531-7 x -5857933-43 x -953617-59 x -695009-301 x -136231-413 x -99287-2309 x -17759-2537 x -16163
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 41,005,531, 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 | 41,005,531 | |
| -1 | -41,005,531 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 41,005,531.
Example:
1 x 41,005,531 = 41,005,531
and
-1 x -41,005,531 = 41,005,531
Notice both answers equal 41,005,531
With that explanation out of the way, let's continue. Next, we take the number 41,005,531 and divide it by 2:
41,005,531 ÷ 2 = 20,502,765.5
If the quotient is a whole number, then 2 and 20,502,765.5 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 | 41,005,531 | |
| -1 | -41,005,531 |
Now, we try dividing 41,005,531 by 3:
41,005,531 ÷ 3 = 13,668,510.3333
If the quotient is a whole number, then 3 and 13,668,510.3333 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 | 41,005,531 | |
| -1 | -41,005,531 |
Let's try dividing by 4:
41,005,531 ÷ 4 = 10,251,382.75
If the quotient is a whole number, then 4 and 10,251,382.75 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 | 41,005,531 | |
| -1 | 41,005,531 |
If you did it right, you will end up with this table:
| 1 | 7 | 43 | 59 | 301 | 413 | 2,309 | 2,537 | 16,163 | 17,759 | 99,287 | 136,231 | 695,009 | 953,617 | 5,857,933 | 41,005,531 |
| -1 | -7 | -43 | -59 | -301 | -413 | -2,309 | -2,537 | -16,163 | -17,759 | -99,287 | -136,231 | -695,009 | -953,617 | -5,857,933 | -41,005,531 |
Here are some more numbers to try:
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