Q: What are the factor combinations of the number 209,161?
A:
Positive:
1 x 20916137 x 5653
Negative:
-1 x -209161-37 x -5653
A:
Positive:
1 x 20916137 x 5653
Negative:
-1 x -209161-37 x -5653
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 209,161, 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 | 209,161 | |
-1 | -209,161 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 209,161.
Example:
1 x 209,161 = 209,161
and
-1 x -209,161 = 209,161
Notice both answers equal 209,161
With that explanation out of the way, let's continue. Next, we take the number 209,161 and divide it by 2:
209,161 ÷ 2 = 104,580.5
If the quotient is a whole number, then 2 and 104,580.5 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 | 209,161 | |
-1 | -209,161 |
Now, we try dividing 209,161 by 3:
209,161 ÷ 3 = 69,720.3333
If the quotient is a whole number, then 3 and 69,720.3333 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 | 209,161 | |
-1 | -209,161 |
Let's try dividing by 4:
209,161 ÷ 4 = 52,290.25
If the quotient is a whole number, then 4 and 52,290.25 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 | 209,161 | |
-1 | 209,161 |
If you did it right, you will end up with this table:
1 | 37 | 5,653 | 209,161 |
-1 | -37 | -5,653 | -209,161 |
Here are some more numbers to try:
Try the factor calculator