A:
Positive:
1 x 510051055 x 1020102147 x 1085215127 x 401615235 x 217043635 x 803231709 x 298455969 x 8545
Negative:
-1 x -51005105-5 x -10201021-47 x -1085215-127 x -401615-235 x -217043-635 x -80323-1709 x -29845-5969 x -8545
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 51,005,105, 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 | 51,005,105 | |
| -1 | -51,005,105 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 51,005,105.
Example:
1 x 51,005,105 = 51,005,105
and
-1 x -51,005,105 = 51,005,105
Notice both answers equal 51,005,105
With that explanation out of the way, let's continue. Next, we take the number 51,005,105 and divide it by 2:
51,005,105 ÷ 2 = 25,502,552.5
If the quotient is a whole number, then 2 and 25,502,552.5 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 | 51,005,105 | |
| -1 | -51,005,105 |
Now, we try dividing 51,005,105 by 3:
51,005,105 ÷ 3 = 17,001,701.6667
If the quotient is a whole number, then 3 and 17,001,701.6667 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 | 51,005,105 | |
| -1 | -51,005,105 |
Let's try dividing by 4:
51,005,105 ÷ 4 = 12,751,276.25
If the quotient is a whole number, then 4 and 12,751,276.25 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 | 51,005,105 | |
| -1 | 51,005,105 |
If you did it right, you will end up with this table:
| 1 | 5 | 47 | 127 | 235 | 635 | 1,709 | 5,969 | 8,545 | 29,845 | 80,323 | 217,043 | 401,615 | 1,085,215 | 10,201,021 | 51,005,105 |
| -1 | -5 | -47 | -127 | -235 | -635 | -1,709 | -5,969 | -8,545 | -29,845 | -80,323 | -217,043 | -401,615 | -1,085,215 | -10,201,021 | -51,005,105 |
Here are some more numbers to try:
Try the factor calculator