A:
Positive:
1 x 1050050155 x 21001003131 x 801565655 x 160313
Negative:
-1 x -105005015-5 x -21001003-131 x -801565-655 x -160313
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 105,005,015, 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 | 105,005,015 | |
| -1 | -105,005,015 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 105,005,015.
Example:
1 x 105,005,015 = 105,005,015
and
-1 x -105,005,015 = 105,005,015
Notice both answers equal 105,005,015
With that explanation out of the way, let's continue. Next, we take the number 105,005,015 and divide it by 2:
105,005,015 ÷ 2 = 52,502,507.5
If the quotient is a whole number, then 2 and 52,502,507.5 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 | 105,005,015 | |
| -1 | -105,005,015 |
Now, we try dividing 105,005,015 by 3:
105,005,015 ÷ 3 = 35,001,671.6667
If the quotient is a whole number, then 3 and 35,001,671.6667 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 | 105,005,015 | |
| -1 | -105,005,015 |
Let's try dividing by 4:
105,005,015 ÷ 4 = 26,251,253.75
If the quotient is a whole number, then 4 and 26,251,253.75 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 | 105,005,015 | |
| -1 | 105,005,015 |
If you did it right, you will end up with this table:
| 1 | 5 | 131 | 655 | 160,313 | 801,565 | 21,001,003 | 105,005,015 |
| -1 | -5 | -131 | -655 | -160,313 | -801,565 | -21,001,003 | -105,005,015 |
Here are some more numbers to try:
Try the factor calculator