A:
Positive:
1 x 10213201911 x 9284729103 x 991573109 x 936991827 x 1234971133 x 901431199 x 851819097 x 11227
Negative:
-1 x -102132019-11 x -9284729-103 x -991573-109 x -936991-827 x -123497-1133 x -90143-1199 x -85181-9097 x -11227
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 102,132,019, 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 | 102,132,019 | |
| -1 | -102,132,019 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 102,132,019.
Example:
1 x 102,132,019 = 102,132,019
and
-1 x -102,132,019 = 102,132,019
Notice both answers equal 102,132,019
With that explanation out of the way, let's continue. Next, we take the number 102,132,019 and divide it by 2:
102,132,019 ÷ 2 = 51,066,009.5
If the quotient is a whole number, then 2 and 51,066,009.5 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 | 102,132,019 | |
| -1 | -102,132,019 |
Now, we try dividing 102,132,019 by 3:
102,132,019 ÷ 3 = 34,044,006.3333
If the quotient is a whole number, then 3 and 34,044,006.3333 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 | 102,132,019 | |
| -1 | -102,132,019 |
Let's try dividing by 4:
102,132,019 ÷ 4 = 25,533,004.75
If the quotient is a whole number, then 4 and 25,533,004.75 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 | 102,132,019 | |
| -1 | 102,132,019 |
If you did it right, you will end up with this table:
| 1 | 11 | 103 | 109 | 827 | 1,133 | 1,199 | 9,097 | 11,227 | 85,181 | 90,143 | 123,497 | 936,991 | 991,573 | 9,284,729 | 102,132,019 |
| -1 | -11 | -103 | -109 | -827 | -1,133 | -1,199 | -9,097 | -11,227 | -85,181 | -90,143 | -123,497 | -936,991 | -991,573 | -9,284,729 | -102,132,019 |
Here are some more numbers to try:
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