Q: What are the factor combinations of the number 209,303?
A:
Positive:
1 x 209303311 x 673
Negative:
-1 x -209303-311 x -673
A:
Positive:
1 x 209303311 x 673
Negative:
-1 x -209303-311 x -673
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 209,303, 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 | 209,303 | |
-1 | -209,303 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 209,303.
Example:
1 x 209,303 = 209,303
and
-1 x -209,303 = 209,303
Notice both answers equal 209,303
With that explanation out of the way, let's continue. Next, we take the number 209,303 and divide it by 2:
209,303 ÷ 2 = 104,651.5
If the quotient is a whole number, then 2 and 104,651.5 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 | 209,303 | |
-1 | -209,303 |
Now, we try dividing 209,303 by 3:
209,303 ÷ 3 = 69,767.6667
If the quotient is a whole number, then 3 and 69,767.6667 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 | 209,303 | |
-1 | -209,303 |
Let's try dividing by 4:
209,303 ÷ 4 = 52,325.75
If the quotient is a whole number, then 4 and 52,325.75 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 | 209,303 | |
-1 | 209,303 |
If you did it right, you will end up with this table:
1 | 311 | 673 | 209,303 |
-1 | -311 | -673 | -209,303 |
Here are some more numbers to try:
Try the factor calculator