Q: What are the factor combinations of the number 22,555?
A:
Positive:
1 x 225555 x 451113 x 173565 x 347
Negative:
-1 x -22555-5 x -4511-13 x -1735-65 x -347
A:
Positive:
1 x 225555 x 451113 x 173565 x 347
Negative:
-1 x -22555-5 x -4511-13 x -1735-65 x -347
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 22,555, 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 | 22,555 | |
-1 | -22,555 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 22,555.
Example:
1 x 22,555 = 22,555
and
-1 x -22,555 = 22,555
Notice both answers equal 22,555
With that explanation out of the way, let's continue. Next, we take the number 22,555 and divide it by 2:
22,555 ÷ 2 = 11,277.5
If the quotient is a whole number, then 2 and 11,277.5 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 | 22,555 | |
-1 | -22,555 |
Now, we try dividing 22,555 by 3:
22,555 ÷ 3 = 7,518.3333
If the quotient is a whole number, then 3 and 7,518.3333 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 | 22,555 | |
-1 | -22,555 |
Let's try dividing by 4:
22,555 ÷ 4 = 5,638.75
If the quotient is a whole number, then 4 and 5,638.75 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 | 22,555 | |
-1 | 22,555 |
If you did it right, you will end up with this table:
1 | 5 | 13 | 65 | 347 | 1,735 | 4,511 | 22,555 |
-1 | -5 | -13 | -65 | -347 | -1,735 | -4,511 | -22,555 |
Here are some more numbers to try:
Try the factor calculator