Q: What are the factor combinations of the number 206,725?
A:
Positive:
1 x 2067255 x 4134525 x 8269
Negative:
-1 x -206725-5 x -41345-25 x -8269
A:
Positive:
1 x 2067255 x 4134525 x 8269
Negative:
-1 x -206725-5 x -41345-25 x -8269
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 206,725, 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 | 206,725 | |
-1 | -206,725 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 206,725.
Example:
1 x 206,725 = 206,725
and
-1 x -206,725 = 206,725
Notice both answers equal 206,725
With that explanation out of the way, let's continue. Next, we take the number 206,725 and divide it by 2:
206,725 ÷ 2 = 103,362.5
If the quotient is a whole number, then 2 and 103,362.5 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 | 206,725 | |
-1 | -206,725 |
Now, we try dividing 206,725 by 3:
206,725 ÷ 3 = 68,908.3333
If the quotient is a whole number, then 3 and 68,908.3333 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 | 206,725 | |
-1 | -206,725 |
Let's try dividing by 4:
206,725 ÷ 4 = 51,681.25
If the quotient is a whole number, then 4 and 51,681.25 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 | 206,725 | |
-1 | 206,725 |
If you did it right, you will end up with this table:
1 | 5 | 25 | 8,269 | 41,345 | 206,725 |
-1 | -5 | -25 | -8,269 | -41,345 | -206,725 |
Here are some more numbers to try:
Try the factor calculator