A:
Positive:
1 x 40370704117 x 2374747319 x 21247739107 x 3772963323 x 12498671819 x 2219392033 x 19857711681 x 34561
Negative:
-1 x -403707041-17 x -23747473-19 x -21247739-107 x -3772963-323 x -1249867-1819 x -221939-2033 x -198577-11681 x -34561
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 403,707,041, 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 | 403,707,041 | |
| -1 | -403,707,041 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 403,707,041.
Example:
1 x 403,707,041 = 403,707,041
and
-1 x -403,707,041 = 403,707,041
Notice both answers equal 403,707,041
With that explanation out of the way, let's continue. Next, we take the number 403,707,041 and divide it by 2:
403,707,041 ÷ 2 = 201,853,520.5
If the quotient is a whole number, then 2 and 201,853,520.5 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 | 403,707,041 | |
| -1 | -403,707,041 |
Now, we try dividing 403,707,041 by 3:
403,707,041 ÷ 3 = 134,569,013.6667
If the quotient is a whole number, then 3 and 134,569,013.6667 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 | 403,707,041 | |
| -1 | -403,707,041 |
Let's try dividing by 4:
403,707,041 ÷ 4 = 100,926,760.25
If the quotient is a whole number, then 4 and 100,926,760.25 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 | 403,707,041 | |
| -1 | 403,707,041 |
If you did it right, you will end up with this table:
| 1 | 17 | 19 | 107 | 323 | 1,819 | 2,033 | 11,681 | 34,561 | 198,577 | 221,939 | 1,249,867 | 3,772,963 | 21,247,739 | 23,747,473 | 403,707,041 |
| -1 | -17 | -19 | -107 | -323 | -1,819 | -2,033 | -11,681 | -34,561 | -198,577 | -221,939 | -1,249,867 | -3,772,963 | -21,247,739 | -23,747,473 | -403,707,041 |
Here are some more numbers to try:
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