A:
Positive:
1 x 4134036137 x 5905765929 x 14255297203 x 2036471443 x 9331913101 x 1333134597 x 8992912847 x 32179
Negative:
-1 x -413403613-7 x -59057659-29 x -14255297-203 x -2036471-443 x -933191-3101 x -133313-4597 x -89929-12847 x -32179
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 413,403,613, 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 | 413,403,613 | |
| -1 | -413,403,613 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 413,403,613.
Example:
1 x 413,403,613 = 413,403,613
and
-1 x -413,403,613 = 413,403,613
Notice both answers equal 413,403,613
With that explanation out of the way, let's continue. Next, we take the number 413,403,613 and divide it by 2:
413,403,613 ÷ 2 = 206,701,806.5
If the quotient is a whole number, then 2 and 206,701,806.5 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 | 413,403,613 | |
| -1 | -413,403,613 |
Now, we try dividing 413,403,613 by 3:
413,403,613 ÷ 3 = 137,801,204.3333
If the quotient is a whole number, then 3 and 137,801,204.3333 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 | 413,403,613 | |
| -1 | -413,403,613 |
Let's try dividing by 4:
413,403,613 ÷ 4 = 103,350,903.25
If the quotient is a whole number, then 4 and 103,350,903.25 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 | 413,403,613 | |
| -1 | 413,403,613 |
If you did it right, you will end up with this table:
| 1 | 7 | 29 | 203 | 443 | 3,101 | 4,597 | 12,847 | 32,179 | 89,929 | 133,313 | 933,191 | 2,036,471 | 14,255,297 | 59,057,659 | 413,403,613 |
| -1 | -7 | -29 | -203 | -443 | -3,101 | -4,597 | -12,847 | -32,179 | -89,929 | -133,313 | -933,191 | -2,036,471 | -14,255,297 | -59,057,659 | -413,403,613 |
Here are some more numbers to try:
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