Q: What are the factor combinations of the number 211,709?
A:
Positive:
1 x 211709127 x 1667
Negative:
-1 x -211709-127 x -1667
A:
Positive:
1 x 211709127 x 1667
Negative:
-1 x -211709-127 x -1667
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 211,709, 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 | 211,709 | |
-1 | -211,709 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 211,709.
Example:
1 x 211,709 = 211,709
and
-1 x -211,709 = 211,709
Notice both answers equal 211,709
With that explanation out of the way, let's continue. Next, we take the number 211,709 and divide it by 2:
211,709 ÷ 2 = 105,854.5
If the quotient is a whole number, then 2 and 105,854.5 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 | 211,709 | |
-1 | -211,709 |
Now, we try dividing 211,709 by 3:
211,709 ÷ 3 = 70,569.6667
If the quotient is a whole number, then 3 and 70,569.6667 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 | 211,709 | |
-1 | -211,709 |
Let's try dividing by 4:
211,709 ÷ 4 = 52,927.25
If the quotient is a whole number, then 4 and 52,927.25 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 | 211,709 | |
-1 | 211,709 |
If you did it right, you will end up with this table:
1 | 127 | 1,667 | 211,709 |
-1 | -127 | -1,667 | -211,709 |
Here are some more numbers to try:
Try the factor calculator