Q: What are the factor combinations of the number 22,217?
A:
Positive:
1 x 2221713 x 1709
Negative:
-1 x -22217-13 x -1709
A:
Positive:
1 x 2221713 x 1709
Negative:
-1 x -22217-13 x -1709
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 22,217, 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 | 22,217 | |
-1 | -22,217 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 22,217.
Example:
1 x 22,217 = 22,217
and
-1 x -22,217 = 22,217
Notice both answers equal 22,217
With that explanation out of the way, let's continue. Next, we take the number 22,217 and divide it by 2:
22,217 ÷ 2 = 11,108.5
If the quotient is a whole number, then 2 and 11,108.5 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 | 22,217 | |
-1 | -22,217 |
Now, we try dividing 22,217 by 3:
22,217 ÷ 3 = 7,405.6667
If the quotient is a whole number, then 3 and 7,405.6667 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 | 22,217 | |
-1 | -22,217 |
Let's try dividing by 4:
22,217 ÷ 4 = 5,554.25
If the quotient is a whole number, then 4 and 5,554.25 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 | 22,217 | |
-1 | 22,217 |
If you did it right, you will end up with this table:
1 | 13 | 1,709 | 22,217 |
-1 | -13 | -1,709 | -22,217 |
Here are some more numbers to try:
Try the factor calculator