A:
Positive:
1 x 41202141753 x 777398973 x 5644129109 x 3780013977 x 4217213869 x 1064935777 x 713217957 x 51781
Negative:
-1 x -412021417-53 x -7773989-73 x -5644129-109 x -3780013-977 x -421721-3869 x -106493-5777 x -71321-7957 x -51781
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 412,021,417, 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 | 412,021,417 | |
| -1 | -412,021,417 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 412,021,417.
Example:
1 x 412,021,417 = 412,021,417
and
-1 x -412,021,417 = 412,021,417
Notice both answers equal 412,021,417
With that explanation out of the way, let's continue. Next, we take the number 412,021,417 and divide it by 2:
412,021,417 ÷ 2 = 206,010,708.5
If the quotient is a whole number, then 2 and 206,010,708.5 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 | 412,021,417 | |
| -1 | -412,021,417 |
Now, we try dividing 412,021,417 by 3:
412,021,417 ÷ 3 = 137,340,472.3333
If the quotient is a whole number, then 3 and 137,340,472.3333 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 | 412,021,417 | |
| -1 | -412,021,417 |
Let's try dividing by 4:
412,021,417 ÷ 4 = 103,005,354.25
If the quotient is a whole number, then 4 and 103,005,354.25 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 | 412,021,417 | |
| -1 | 412,021,417 |
If you did it right, you will end up with this table:
| 1 | 53 | 73 | 109 | 977 | 3,869 | 5,777 | 7,957 | 51,781 | 71,321 | 106,493 | 421,721 | 3,780,013 | 5,644,129 | 7,773,989 | 412,021,417 |
| -1 | -53 | -73 | -109 | -977 | -3,869 | -5,777 | -7,957 | -51,781 | -71,321 | -106,493 | -421,721 | -3,780,013 | -5,644,129 | -7,773,989 | -412,021,417 |
Here are some more numbers to try:
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