A:
Positive:
1 x 412562297 x 589374717 x 242683783 x 497063119 x 346691581 x 710091411 x 292394177 x 9877
Negative:
-1 x -41256229-7 x -5893747-17 x -2426837-83 x -497063-119 x -346691-581 x -71009-1411 x -29239-4177 x -9877
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 41,256,229, 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 | 41,256,229 | |
| -1 | -41,256,229 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 41,256,229.
Example:
1 x 41,256,229 = 41,256,229
and
-1 x -41,256,229 = 41,256,229
Notice both answers equal 41,256,229
With that explanation out of the way, let's continue. Next, we take the number 41,256,229 and divide it by 2:
41,256,229 ÷ 2 = 20,628,114.5
If the quotient is a whole number, then 2 and 20,628,114.5 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 | 41,256,229 | |
| -1 | -41,256,229 |
Now, we try dividing 41,256,229 by 3:
41,256,229 ÷ 3 = 13,752,076.3333
If the quotient is a whole number, then 3 and 13,752,076.3333 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 | 41,256,229 | |
| -1 | -41,256,229 |
Let's try dividing by 4:
41,256,229 ÷ 4 = 10,314,057.25
If the quotient is a whole number, then 4 and 10,314,057.25 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 | 41,256,229 | |
| -1 | 41,256,229 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 83 | 119 | 581 | 1,411 | 4,177 | 9,877 | 29,239 | 71,009 | 346,691 | 497,063 | 2,426,837 | 5,893,747 | 41,256,229 |
| -1 | -7 | -17 | -83 | -119 | -581 | -1,411 | -4,177 | -9,877 | -29,239 | -71,009 | -346,691 | -497,063 | -2,426,837 | -5,893,747 | -41,256,229 |
Here are some more numbers to try:
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