A:
Positive:
1 x 10100002913 x 776923319 x 5315791247 x 408907461 x 219089887 x 1138675993 x 168538759 x 11531
Negative:
-1 x -101000029-13 x -7769233-19 x -5315791-247 x -408907-461 x -219089-887 x -113867-5993 x -16853-8759 x -11531
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 101,000,029, 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 | 101,000,029 | |
| -1 | -101,000,029 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 101,000,029.
Example:
1 x 101,000,029 = 101,000,029
and
-1 x -101,000,029 = 101,000,029
Notice both answers equal 101,000,029
With that explanation out of the way, let's continue. Next, we take the number 101,000,029 and divide it by 2:
101,000,029 ÷ 2 = 50,500,014.5
If the quotient is a whole number, then 2 and 50,500,014.5 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 | 101,000,029 | |
| -1 | -101,000,029 |
Now, we try dividing 101,000,029 by 3:
101,000,029 ÷ 3 = 33,666,676.3333
If the quotient is a whole number, then 3 and 33,666,676.3333 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 | 101,000,029 | |
| -1 | -101,000,029 |
Let's try dividing by 4:
101,000,029 ÷ 4 = 25,250,007.25
If the quotient is a whole number, then 4 and 25,250,007.25 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 | 101,000,029 | |
| -1 | 101,000,029 |
If you did it right, you will end up with this table:
| 1 | 13 | 19 | 247 | 461 | 887 | 5,993 | 8,759 | 11,531 | 16,853 | 113,867 | 219,089 | 408,907 | 5,315,791 | 7,769,233 | 101,000,029 |
| -1 | -13 | -19 | -247 | -461 | -887 | -5,993 | -8,759 | -11,531 | -16,853 | -113,867 | -219,089 | -408,907 | -5,315,791 | -7,769,233 | -101,000,029 |
Here are some more numbers to try:
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