Q: What are the factor combinations of the number 208,945,189?
A:
Positive:
1 x 2089451896733 x 31033
Negative:
-1 x -208945189-6733 x -31033
A:
Positive:
1 x 2089451896733 x 31033
Negative:
-1 x -208945189-6733 x -31033
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 208,945,189, 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 | 208,945,189 | |
-1 | -208,945,189 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 208,945,189.
Example:
1 x 208,945,189 = 208,945,189
and
-1 x -208,945,189 = 208,945,189
Notice both answers equal 208,945,189
With that explanation out of the way, let's continue. Next, we take the number 208,945,189 and divide it by 2:
208,945,189 ÷ 2 = 104,472,594.5
If the quotient is a whole number, then 2 and 104,472,594.5 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 | 208,945,189 | |
-1 | -208,945,189 |
Now, we try dividing 208,945,189 by 3:
208,945,189 ÷ 3 = 69,648,396.3333
If the quotient is a whole number, then 3 and 69,648,396.3333 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 | 208,945,189 | |
-1 | -208,945,189 |
Let's try dividing by 4:
208,945,189 ÷ 4 = 52,236,297.25
If the quotient is a whole number, then 4 and 52,236,297.25 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 | 208,945,189 | |
-1 | 208,945,189 |
If you did it right, you will end up with this table:
1 | 6,733 | 31,033 | 208,945,189 |
-1 | -6,733 | -31,033 | -208,945,189 |
Here are some more numbers to try:
Try the factor calculator