A:
Positive:
1 x 4034040017 x 5762914311 x 3667309113 x 3103107777 x 523901391 x 4433011143 x 28210071001 x 403001
Negative:
-1 x -403404001-7 x -57629143-11 x -36673091-13 x -31031077-77 x -5239013-91 x -4433011-143 x -2821007-1001 x -403001
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 403,404,001, 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 | 403,404,001 | |
| -1 | -403,404,001 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 403,404,001.
Example:
1 x 403,404,001 = 403,404,001
and
-1 x -403,404,001 = 403,404,001
Notice both answers equal 403,404,001
With that explanation out of the way, let's continue. Next, we take the number 403,404,001 and divide it by 2:
403,404,001 ÷ 2 = 201,702,000.5
If the quotient is a whole number, then 2 and 201,702,000.5 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 | 403,404,001 | |
| -1 | -403,404,001 |
Now, we try dividing 403,404,001 by 3:
403,404,001 ÷ 3 = 134,468,000.3333
If the quotient is a whole number, then 3 and 134,468,000.3333 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 | 403,404,001 | |
| -1 | -403,404,001 |
Let's try dividing by 4:
403,404,001 ÷ 4 = 100,851,000.25
If the quotient is a whole number, then 4 and 100,851,000.25 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 | 403,404,001 | |
| -1 | 403,404,001 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 13 | 77 | 91 | 143 | 1,001 | 403,001 | 2,821,007 | 4,433,011 | 5,239,013 | 31,031,077 | 36,673,091 | 57,629,143 | 403,404,001 |
| -1 | -7 | -11 | -13 | -77 | -91 | -143 | -1,001 | -403,001 | -2,821,007 | -4,433,011 | -5,239,013 | -31,031,077 | -36,673,091 | -57,629,143 | -403,404,001 |
Here are some more numbers to try:
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