A:
Positive:
1 x 41355400723 x 1798060929 x 14260483667 x 620021739 x 559613839 x 49291316997 x 2433119297 x 21431
Negative:
-1 x -413554007-23 x -17980609-29 x -14260483-667 x -620021-739 x -559613-839 x -492913-16997 x -24331-19297 x -21431
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 413,554,007, 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 | 413,554,007 | |
| -1 | -413,554,007 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 413,554,007.
Example:
1 x 413,554,007 = 413,554,007
and
-1 x -413,554,007 = 413,554,007
Notice both answers equal 413,554,007
With that explanation out of the way, let's continue. Next, we take the number 413,554,007 and divide it by 2:
413,554,007 ÷ 2 = 206,777,003.5
If the quotient is a whole number, then 2 and 206,777,003.5 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 | 413,554,007 | |
| -1 | -413,554,007 |
Now, we try dividing 413,554,007 by 3:
413,554,007 ÷ 3 = 137,851,335.6667
If the quotient is a whole number, then 3 and 137,851,335.6667 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 | 413,554,007 | |
| -1 | -413,554,007 |
Let's try dividing by 4:
413,554,007 ÷ 4 = 103,388,501.75
If the quotient is a whole number, then 4 and 103,388,501.75 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 | 413,554,007 | |
| -1 | 413,554,007 |
If you did it right, you will end up with this table:
| 1 | 23 | 29 | 667 | 739 | 839 | 16,997 | 19,297 | 21,431 | 24,331 | 492,913 | 559,613 | 620,021 | 14,260,483 | 17,980,609 | 413,554,007 |
| -1 | -23 | -29 | -667 | -739 | -839 | -16,997 | -19,297 | -21,431 | -24,331 | -492,913 | -559,613 | -620,021 | -14,260,483 | -17,980,609 | -413,554,007 |
Here are some more numbers to try:
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