Q: What are the factor combinations of the number 11,245?
A:
Positive:
1 x 112455 x 224913 x 86565 x 173
Negative:
-1 x -11245-5 x -2249-13 x -865-65 x -173
A:
Positive:
1 x 112455 x 224913 x 86565 x 173
Negative:
-1 x -11245-5 x -2249-13 x -865-65 x -173
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 11,245, 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 | 11,245 | |
-1 | -11,245 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 11,245.
Example:
1 x 11,245 = 11,245
and
-1 x -11,245 = 11,245
Notice both answers equal 11,245
With that explanation out of the way, let's continue. Next, we take the number 11,245 and divide it by 2:
11,245 ÷ 2 = 5,622.5
If the quotient is a whole number, then 2 and 5,622.5 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 | 11,245 | |
-1 | -11,245 |
Now, we try dividing 11,245 by 3:
11,245 ÷ 3 = 3,748.3333
If the quotient is a whole number, then 3 and 3,748.3333 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 | 11,245 | |
-1 | -11,245 |
Let's try dividing by 4:
11,245 ÷ 4 = 2,811.25
If the quotient is a whole number, then 4 and 2,811.25 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 | 11,245 | |
-1 | 11,245 |
If you did it right, you will end up with this table:
1 | 5 | 13 | 65 | 173 | 865 | 2,249 | 11,245 |
-1 | -5 | -13 | -65 | -173 | -865 | -2,249 | -11,245 |
Here are some more numbers to try:
Try the factor calculator