A:
Positive:
1 x 1052605155 x 2105210317 x 619179585 x 1238359211 x 4988651055 x 997733587 x 293455869 x 17935
Negative:
-1 x -105260515-5 x -21052103-17 x -6191795-85 x -1238359-211 x -498865-1055 x -99773-3587 x -29345-5869 x -17935
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 105,260,515, 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 | 105,260,515 | |
| -1 | -105,260,515 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 105,260,515.
Example:
1 x 105,260,515 = 105,260,515
and
-1 x -105,260,515 = 105,260,515
Notice both answers equal 105,260,515
With that explanation out of the way, let's continue. Next, we take the number 105,260,515 and divide it by 2:
105,260,515 ÷ 2 = 52,630,257.5
If the quotient is a whole number, then 2 and 52,630,257.5 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 | 105,260,515 | |
| -1 | -105,260,515 |
Now, we try dividing 105,260,515 by 3:
105,260,515 ÷ 3 = 35,086,838.3333
If the quotient is a whole number, then 3 and 35,086,838.3333 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 | 105,260,515 | |
| -1 | -105,260,515 |
Let's try dividing by 4:
105,260,515 ÷ 4 = 26,315,128.75
If the quotient is a whole number, then 4 and 26,315,128.75 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 | 105,260,515 | |
| -1 | 105,260,515 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 85 | 211 | 1,055 | 3,587 | 5,869 | 17,935 | 29,345 | 99,773 | 498,865 | 1,238,359 | 6,191,795 | 21,052,103 | 105,260,515 |
| -1 | -5 | -17 | -85 | -211 | -1,055 | -3,587 | -5,869 | -17,935 | -29,345 | -99,773 | -498,865 | -1,238,359 | -6,191,795 | -21,052,103 | -105,260,515 |
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