A:
Positive:
1 x 41332024131 x 13332911157 x 2632613163 x 2535707521 x 7933214867 x 849235053 x 8179716151 x 25591
Negative:
-1 x -413320241-31 x -13332911-157 x -2632613-163 x -2535707-521 x -793321-4867 x -84923-5053 x -81797-16151 x -25591
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 413,320,241, 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 | 413,320,241 | |
| -1 | -413,320,241 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 413,320,241.
Example:
1 x 413,320,241 = 413,320,241
and
-1 x -413,320,241 = 413,320,241
Notice both answers equal 413,320,241
With that explanation out of the way, let's continue. Next, we take the number 413,320,241 and divide it by 2:
413,320,241 ÷ 2 = 206,660,120.5
If the quotient is a whole number, then 2 and 206,660,120.5 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 | 413,320,241 | |
| -1 | -413,320,241 |
Now, we try dividing 413,320,241 by 3:
413,320,241 ÷ 3 = 137,773,413.6667
If the quotient is a whole number, then 3 and 137,773,413.6667 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 | 413,320,241 | |
| -1 | -413,320,241 |
Let's try dividing by 4:
413,320,241 ÷ 4 = 103,330,060.25
If the quotient is a whole number, then 4 and 103,330,060.25 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 | 413,320,241 | |
| -1 | 413,320,241 |
If you did it right, you will end up with this table:
| 1 | 31 | 157 | 163 | 521 | 4,867 | 5,053 | 16,151 | 25,591 | 81,797 | 84,923 | 793,321 | 2,535,707 | 2,632,613 | 13,332,911 | 413,320,241 |
| -1 | -31 | -157 | -163 | -521 | -4,867 | -5,053 | -16,151 | -25,591 | -81,797 | -84,923 | -793,321 | -2,535,707 | -2,632,613 | -13,332,911 | -413,320,241 |
Here are some more numbers to try:
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