A:
Positive:
1 x 41222410123 x 1792278743 x 958660797 x 4249733989 x 4168092231 x 1847714171 x 988314297 x 95933
Negative:
-1 x -412224101-23 x -17922787-43 x -9586607-97 x -4249733-989 x -416809-2231 x -184771-4171 x -98831-4297 x -95933
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 412,224,101, 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 | 412,224,101 | |
| -1 | -412,224,101 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 412,224,101.
Example:
1 x 412,224,101 = 412,224,101
and
-1 x -412,224,101 = 412,224,101
Notice both answers equal 412,224,101
With that explanation out of the way, let's continue. Next, we take the number 412,224,101 and divide it by 2:
412,224,101 ÷ 2 = 206,112,050.5
If the quotient is a whole number, then 2 and 206,112,050.5 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 | 412,224,101 | |
| -1 | -412,224,101 |
Now, we try dividing 412,224,101 by 3:
412,224,101 ÷ 3 = 137,408,033.6667
If the quotient is a whole number, then 3 and 137,408,033.6667 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 | 412,224,101 | |
| -1 | -412,224,101 |
Let's try dividing by 4:
412,224,101 ÷ 4 = 103,056,025.25
If the quotient is a whole number, then 4 and 103,056,025.25 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 | 412,224,101 | |
| -1 | 412,224,101 |
If you did it right, you will end up with this table:
| 1 | 23 | 43 | 97 | 989 | 2,231 | 4,171 | 4,297 | 95,933 | 98,831 | 184,771 | 416,809 | 4,249,733 | 9,586,607 | 17,922,787 | 412,224,101 |
| -1 | -23 | -43 | -97 | -989 | -2,231 | -4,171 | -4,297 | -95,933 | -98,831 | -184,771 | -416,809 | -4,249,733 | -9,586,607 | -17,922,787 | -412,224,101 |
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