A:
Positive:
1 x 1050364155 x 2100728311 x 954876555 x 190975373 x 1438855365 x 287771803 x 1308054015 x 26161
Negative:
-1 x -105036415-5 x -21007283-11 x -9548765-55 x -1909753-73 x -1438855-365 x -287771-803 x -130805-4015 x -26161
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 105,036,415, 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 | 105,036,415 | |
| -1 | -105,036,415 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 105,036,415.
Example:
1 x 105,036,415 = 105,036,415
and
-1 x -105,036,415 = 105,036,415
Notice both answers equal 105,036,415
With that explanation out of the way, let's continue. Next, we take the number 105,036,415 and divide it by 2:
105,036,415 ÷ 2 = 52,518,207.5
If the quotient is a whole number, then 2 and 52,518,207.5 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 | 105,036,415 | |
| -1 | -105,036,415 |
Now, we try dividing 105,036,415 by 3:
105,036,415 ÷ 3 = 35,012,138.3333
If the quotient is a whole number, then 3 and 35,012,138.3333 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 | 105,036,415 | |
| -1 | -105,036,415 |
Let's try dividing by 4:
105,036,415 ÷ 4 = 26,259,103.75
If the quotient is a whole number, then 4 and 26,259,103.75 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 | 105,036,415 | |
| -1 | 105,036,415 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 55 | 73 | 365 | 803 | 4,015 | 26,161 | 130,805 | 287,771 | 1,438,855 | 1,909,753 | 9,548,765 | 21,007,283 | 105,036,415 |
| -1 | -5 | -11 | -55 | -73 | -365 | -803 | -4,015 | -26,161 | -130,805 | -287,771 | -1,438,855 | -1,909,753 | -9,548,765 | -21,007,283 | -105,036,415 |
Here are some more numbers to try:
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