Q: What are the factor combinations of the number 105,008,089?
A:
Positive:
1 x 105008089457 x 229777
Negative:
-1 x -105008089-457 x -229777
A:
Positive:
1 x 105008089457 x 229777
Negative:
-1 x -105008089-457 x -229777
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 105,008,089, 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 | 105,008,089 | |
-1 | -105,008,089 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 105,008,089.
Example:
1 x 105,008,089 = 105,008,089
and
-1 x -105,008,089 = 105,008,089
Notice both answers equal 105,008,089
With that explanation out of the way, let's continue. Next, we take the number 105,008,089 and divide it by 2:
105,008,089 ÷ 2 = 52,504,044.5
If the quotient is a whole number, then 2 and 52,504,044.5 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 | 105,008,089 | |
-1 | -105,008,089 |
Now, we try dividing 105,008,089 by 3:
105,008,089 ÷ 3 = 35,002,696.3333
If the quotient is a whole number, then 3 and 35,002,696.3333 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 | 105,008,089 | |
-1 | -105,008,089 |
Let's try dividing by 4:
105,008,089 ÷ 4 = 26,252,022.25
If the quotient is a whole number, then 4 and 26,252,022.25 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 | 105,008,089 | |
-1 | 105,008,089 |
If you did it right, you will end up with this table:
1 | 457 | 229,777 | 105,008,089 |
-1 | -457 | -229,777 | -105,008,089 |
Here are some more numbers to try:
Try the factor calculator