A:
Positive:
1 x 1085314097 x 15504487103 x 1053703109 x 995701721 x 150529763 x 1422431381 x 785899667 x 11227
Negative:
-1 x -108531409-7 x -15504487-103 x -1053703-109 x -995701-721 x -150529-763 x -142243-1381 x -78589-9667 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 108,531,409, 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 | 108,531,409 | |
| -1 | -108,531,409 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 108,531,409.
Example:
1 x 108,531,409 = 108,531,409
and
-1 x -108,531,409 = 108,531,409
Notice both answers equal 108,531,409
With that explanation out of the way, let's continue. Next, we take the number 108,531,409 and divide it by 2:
108,531,409 ÷ 2 = 54,265,704.5
If the quotient is a whole number, then 2 and 54,265,704.5 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 | 108,531,409 | |
| -1 | -108,531,409 |
Now, we try dividing 108,531,409 by 3:
108,531,409 ÷ 3 = 36,177,136.3333
If the quotient is a whole number, then 3 and 36,177,136.3333 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 | 108,531,409 | |
| -1 | -108,531,409 |
Let's try dividing by 4:
108,531,409 ÷ 4 = 27,132,852.25
If the quotient is a whole number, then 4 and 27,132,852.25 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 | 108,531,409 | |
| -1 | 108,531,409 |
If you did it right, you will end up with this table:
| 1 | 7 | 103 | 109 | 721 | 763 | 1,381 | 9,667 | 11,227 | 78,589 | 142,243 | 150,529 | 995,701 | 1,053,703 | 15,504,487 | 108,531,409 |
| -1 | -7 | -103 | -109 | -721 | -763 | -1,381 | -9,667 | -11,227 | -78,589 | -142,243 | -150,529 | -995,701 | -1,053,703 | -15,504,487 | -108,531,409 |
Here are some more numbers to try:
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