A:
Positive:
1 x 40562041929 x 1398691143 x 943303383 x 48869931247 x 3252772407 x 1685173569 x 1136513919 x 103501
Negative:
-1 x -405620419-29 x -13986911-43 x -9433033-83 x -4886993-1247 x -325277-2407 x -168517-3569 x -113651-3919 x -103501
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 405,620,419, 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 | 405,620,419 | |
| -1 | -405,620,419 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 405,620,419.
Example:
1 x 405,620,419 = 405,620,419
and
-1 x -405,620,419 = 405,620,419
Notice both answers equal 405,620,419
With that explanation out of the way, let's continue. Next, we take the number 405,620,419 and divide it by 2:
405,620,419 ÷ 2 = 202,810,209.5
If the quotient is a whole number, then 2 and 202,810,209.5 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 | 405,620,419 | |
| -1 | -405,620,419 |
Now, we try dividing 405,620,419 by 3:
405,620,419 ÷ 3 = 135,206,806.3333
If the quotient is a whole number, then 3 and 135,206,806.3333 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 | 405,620,419 | |
| -1 | -405,620,419 |
Let's try dividing by 4:
405,620,419 ÷ 4 = 101,405,104.75
If the quotient is a whole number, then 4 and 101,405,104.75 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 | 405,620,419 | |
| -1 | 405,620,419 |
If you did it right, you will end up with this table:
| 1 | 29 | 43 | 83 | 1,247 | 2,407 | 3,569 | 3,919 | 103,501 | 113,651 | 168,517 | 325,277 | 4,886,993 | 9,433,033 | 13,986,911 | 405,620,419 |
| -1 | -29 | -43 | -83 | -1,247 | -2,407 | -3,569 | -3,919 | -103,501 | -113,651 | -168,517 | -325,277 | -4,886,993 | -9,433,033 | -13,986,911 | -405,620,419 |
Here are some more numbers to try:
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