A:
Positive:
1 x 4110032297 x 5871474713 x 3161563341 x 1002446949 x 838782191 x 4516519287 x 1432067533 x 771113637 x 6452172009 x 2045813731 x 11015915737 x 26117
Negative:
-1 x -411003229-7 x -58714747-13 x -31615633-41 x -10024469-49 x -8387821-91 x -4516519-287 x -1432067-533 x -771113-637 x -645217-2009 x -204581-3731 x -110159-15737 x -26117
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 411,003,229, 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 | 411,003,229 | |
| -1 | -411,003,229 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 411,003,229.
Example:
1 x 411,003,229 = 411,003,229
and
-1 x -411,003,229 = 411,003,229
Notice both answers equal 411,003,229
With that explanation out of the way, let's continue. Next, we take the number 411,003,229 and divide it by 2:
411,003,229 ÷ 2 = 205,501,614.5
If the quotient is a whole number, then 2 and 205,501,614.5 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 | 411,003,229 | |
| -1 | -411,003,229 |
Now, we try dividing 411,003,229 by 3:
411,003,229 ÷ 3 = 137,001,076.3333
If the quotient is a whole number, then 3 and 137,001,076.3333 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 | 411,003,229 | |
| -1 | -411,003,229 |
Let's try dividing by 4:
411,003,229 ÷ 4 = 102,750,807.25
If the quotient is a whole number, then 4 and 102,750,807.25 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 | 411,003,229 | |
| -1 | 411,003,229 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 41 | 49 | 91 | 287 | 533 | 637 | 2,009 | 3,731 | 15,737 | 26,117 | 110,159 | 204,581 | 645,217 | 771,113 | 1,432,067 | 4,516,519 | 8,387,821 | 10,024,469 | 31,615,633 | 58,714,747 | 411,003,229 |
| -1 | -7 | -13 | -41 | -49 | -91 | -287 | -533 | -637 | -2,009 | -3,731 | -15,737 | -26,117 | -110,159 | -204,581 | -645,217 | -771,113 | -1,432,067 | -4,516,519 | -8,387,821 | -10,024,469 | -31,615,633 | -58,714,747 | -411,003,229 |
Here are some more numbers to try:
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