Q: What are the factor combinations of the number 207,091?
A:
Positive:
1 x 20709141 x 5051
Negative:
-1 x -207091-41 x -5051
A:
Positive:
1 x 20709141 x 5051
Negative:
-1 x -207091-41 x -5051
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 207,091, 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 | 207,091 | |
-1 | -207,091 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 207,091.
Example:
1 x 207,091 = 207,091
and
-1 x -207,091 = 207,091
Notice both answers equal 207,091
With that explanation out of the way, let's continue. Next, we take the number 207,091 and divide it by 2:
207,091 ÷ 2 = 103,545.5
If the quotient is a whole number, then 2 and 103,545.5 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 | 207,091 | |
-1 | -207,091 |
Now, we try dividing 207,091 by 3:
207,091 ÷ 3 = 69,030.3333
If the quotient is a whole number, then 3 and 69,030.3333 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 | 207,091 | |
-1 | -207,091 |
Let's try dividing by 4:
207,091 ÷ 4 = 51,772.75
If the quotient is a whole number, then 4 and 51,772.75 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 | 207,091 | |
-1 | 207,091 |
If you did it right, you will end up with this table:
1 | 41 | 5,051 | 207,091 |
-1 | -41 | -5,051 | -207,091 |
Here are some more numbers to try:
Try the factor calculator