A:
Positive:
1 x 10523643123 x 457549747 x 223907367 x 15706931081 x 973511453 x 724271541 x 682913149 x 33419
Negative:
-1 x -105236431-23 x -4575497-47 x -2239073-67 x -1570693-1081 x -97351-1453 x -72427-1541 x -68291-3149 x -33419
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 105,236,431, 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 | 105,236,431 | |
| -1 | -105,236,431 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 105,236,431.
Example:
1 x 105,236,431 = 105,236,431
and
-1 x -105,236,431 = 105,236,431
Notice both answers equal 105,236,431
With that explanation out of the way, let's continue. Next, we take the number 105,236,431 and divide it by 2:
105,236,431 ÷ 2 = 52,618,215.5
If the quotient is a whole number, then 2 and 52,618,215.5 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 | 105,236,431 | |
| -1 | -105,236,431 |
Now, we try dividing 105,236,431 by 3:
105,236,431 ÷ 3 = 35,078,810.3333
If the quotient is a whole number, then 3 and 35,078,810.3333 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 | 105,236,431 | |
| -1 | -105,236,431 |
Let's try dividing by 4:
105,236,431 ÷ 4 = 26,309,107.75
If the quotient is a whole number, then 4 and 26,309,107.75 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 | 105,236,431 | |
| -1 | 105,236,431 |
If you did it right, you will end up with this table:
| 1 | 23 | 47 | 67 | 1,081 | 1,453 | 1,541 | 3,149 | 33,419 | 68,291 | 72,427 | 97,351 | 1,570,693 | 2,239,073 | 4,575,497 | 105,236,431 |
| -1 | -23 | -47 | -67 | -1,081 | -1,453 | -1,541 | -3,149 | -33,419 | -68,291 | -72,427 | -97,351 | -1,570,693 | -2,239,073 | -4,575,497 | -105,236,431 |
Here are some more numbers to try:
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