A:
Positive:
1 x 1051364055 x 2102728111 x 955785519 x 553349555 x 191157195 x 1106699209 x 5030451045 x 100609
Negative:
-1 x -105136405-5 x -21027281-11 x -9557855-19 x -5533495-55 x -1911571-95 x -1106699-209 x -503045-1045 x -100609
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 105,136,405, 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 | 105,136,405 | |
| -1 | -105,136,405 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 105,136,405.
Example:
1 x 105,136,405 = 105,136,405
and
-1 x -105,136,405 = 105,136,405
Notice both answers equal 105,136,405
With that explanation out of the way, let's continue. Next, we take the number 105,136,405 and divide it by 2:
105,136,405 ÷ 2 = 52,568,202.5
If the quotient is a whole number, then 2 and 52,568,202.5 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 | 105,136,405 | |
| -1 | -105,136,405 |
Now, we try dividing 105,136,405 by 3:
105,136,405 ÷ 3 = 35,045,468.3333
If the quotient is a whole number, then 3 and 35,045,468.3333 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 | 105,136,405 | |
| -1 | -105,136,405 |
Let's try dividing by 4:
105,136,405 ÷ 4 = 26,284,101.25
If the quotient is a whole number, then 4 and 26,284,101.25 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 | 105,136,405 | |
| -1 | 105,136,405 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 19 | 55 | 95 | 209 | 1,045 | 100,609 | 503,045 | 1,106,699 | 1,911,571 | 5,533,495 | 9,557,855 | 21,027,281 | 105,136,405 |
| -1 | -5 | -11 | -19 | -55 | -95 | -209 | -1,045 | -100,609 | -503,045 | -1,106,699 | -1,911,571 | -5,533,495 | -9,557,855 | -21,027,281 | -105,136,405 |
Here are some more numbers to try:
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