A:
Positive:
1 x 1050055517 x 1500079341 x 2561111151 x 695401287 x 3658731057 x 993432423 x 433376191 x 16961
Negative:
-1 x -105005551-7 x -15000793-41 x -2561111-151 x -695401-287 x -365873-1057 x -99343-2423 x -43337-6191 x -16961
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 105,005,551, 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 | 105,005,551 | |
| -1 | -105,005,551 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 105,005,551.
Example:
1 x 105,005,551 = 105,005,551
and
-1 x -105,005,551 = 105,005,551
Notice both answers equal 105,005,551
With that explanation out of the way, let's continue. Next, we take the number 105,005,551 and divide it by 2:
105,005,551 ÷ 2 = 52,502,775.5
If the quotient is a whole number, then 2 and 52,502,775.5 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 | 105,005,551 | |
| -1 | -105,005,551 |
Now, we try dividing 105,005,551 by 3:
105,005,551 ÷ 3 = 35,001,850.3333
If the quotient is a whole number, then 3 and 35,001,850.3333 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 | 105,005,551 | |
| -1 | -105,005,551 |
Let's try dividing by 4:
105,005,551 ÷ 4 = 26,251,387.75
If the quotient is a whole number, then 4 and 26,251,387.75 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 | 105,005,551 | |
| -1 | 105,005,551 |
If you did it right, you will end up with this table:
| 1 | 7 | 41 | 151 | 287 | 1,057 | 2,423 | 6,191 | 16,961 | 43,337 | 99,343 | 365,873 | 695,401 | 2,561,111 | 15,000,793 | 105,005,551 |
| -1 | -7 | -41 | -151 | -287 | -1,057 | -2,423 | -6,191 | -16,961 | -43,337 | -99,343 | -365,873 | -695,401 | -2,561,111 | -15,000,793 | -105,005,551 |
Here are some more numbers to try:
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