Q: What are the factor combinations of the number 20,273?
A:
Positive:
1 x 2027311 x 184319 x 106797 x 209
Negative:
-1 x -20273-11 x -1843-19 x -1067-97 x -209
A:
Positive:
1 x 2027311 x 184319 x 106797 x 209
Negative:
-1 x -20273-11 x -1843-19 x -1067-97 x -209
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 20,273, 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 | 20,273 | |
-1 | -20,273 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 20,273.
Example:
1 x 20,273 = 20,273
and
-1 x -20,273 = 20,273
Notice both answers equal 20,273
With that explanation out of the way, let's continue. Next, we take the number 20,273 and divide it by 2:
20,273 ÷ 2 = 10,136.5
If the quotient is a whole number, then 2 and 10,136.5 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 | 20,273 | |
-1 | -20,273 |
Now, we try dividing 20,273 by 3:
20,273 ÷ 3 = 6,757.6667
If the quotient is a whole number, then 3 and 6,757.6667 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 | 20,273 | |
-1 | -20,273 |
Let's try dividing by 4:
20,273 ÷ 4 = 5,068.25
If the quotient is a whole number, then 4 and 5,068.25 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 | 20,273 | |
-1 | 20,273 |
If you did it right, you will end up with this table:
1 | 11 | 19 | 97 | 209 | 1,067 | 1,843 | 20,273 |
-1 | -11 | -19 | -97 | -209 | -1,067 | -1,843 | -20,273 |
Here are some more numbers to try:
Try the factor calculator