Q: What are the factor combinations of the number 113,821?
A:
Positive:
1 x 11382143 x 2647
Negative:
-1 x -113821-43 x -2647
A:
Positive:
1 x 11382143 x 2647
Negative:
-1 x -113821-43 x -2647
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 113,821, 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 | 113,821 | |
-1 | -113,821 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 113,821.
Example:
1 x 113,821 = 113,821
and
-1 x -113,821 = 113,821
Notice both answers equal 113,821
With that explanation out of the way, let's continue. Next, we take the number 113,821 and divide it by 2:
113,821 ÷ 2 = 56,910.5
If the quotient is a whole number, then 2 and 56,910.5 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 | 113,821 | |
-1 | -113,821 |
Now, we try dividing 113,821 by 3:
113,821 ÷ 3 = 37,940.3333
If the quotient is a whole number, then 3 and 37,940.3333 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 | 113,821 | |
-1 | -113,821 |
Let's try dividing by 4:
113,821 ÷ 4 = 28,455.25
If the quotient is a whole number, then 4 and 28,455.25 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 | 113,821 | |
-1 | 113,821 |
If you did it right, you will end up with this table:
1 | 43 | 2,647 | 113,821 |
-1 | -43 | -2,647 | -113,821 |
Here are some more numbers to try:
Try the factor calculator