A:
Positive:
1 x 41264010129 x 1422896931 x 13310971109 x 3785689899 x 4589993161 x 1305413379 x 1221194211 x 97991
Negative:
-1 x -412640101-29 x -14228969-31 x -13310971-109 x -3785689-899 x -458999-3161 x -130541-3379 x -122119-4211 x -97991
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 412,640,101, 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 | 412,640,101 | |
| -1 | -412,640,101 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 412,640,101.
Example:
1 x 412,640,101 = 412,640,101
and
-1 x -412,640,101 = 412,640,101
Notice both answers equal 412,640,101
With that explanation out of the way, let's continue. Next, we take the number 412,640,101 and divide it by 2:
412,640,101 ÷ 2 = 206,320,050.5
If the quotient is a whole number, then 2 and 206,320,050.5 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 | 412,640,101 | |
| -1 | -412,640,101 |
Now, we try dividing 412,640,101 by 3:
412,640,101 ÷ 3 = 137,546,700.3333
If the quotient is a whole number, then 3 and 137,546,700.3333 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 | 412,640,101 | |
| -1 | -412,640,101 |
Let's try dividing by 4:
412,640,101 ÷ 4 = 103,160,025.25
If the quotient is a whole number, then 4 and 103,160,025.25 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 | 412,640,101 | |
| -1 | 412,640,101 |
If you did it right, you will end up with this table:
| 1 | 29 | 31 | 109 | 899 | 3,161 | 3,379 | 4,211 | 97,991 | 122,119 | 130,541 | 458,999 | 3,785,689 | 13,310,971 | 14,228,969 | 412,640,101 |
| -1 | -29 | -31 | -109 | -899 | -3,161 | -3,379 | -4,211 | -97,991 | -122,119 | -130,541 | -458,999 | -3,785,689 | -13,310,971 | -14,228,969 | -412,640,101 |
Here are some more numbers to try:
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