Q: What are the factor combinations of the number 196,825?
A:
Positive:
1 x 1968255 x 3936525 x 7873
Negative:
-1 x -196825-5 x -39365-25 x -7873
A:
Positive:
1 x 1968255 x 3936525 x 7873
Negative:
-1 x -196825-5 x -39365-25 x -7873
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 196,825, 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 | 196,825 | |
-1 | -196,825 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 196,825.
Example:
1 x 196,825 = 196,825
and
-1 x -196,825 = 196,825
Notice both answers equal 196,825
With that explanation out of the way, let's continue. Next, we take the number 196,825 and divide it by 2:
196,825 ÷ 2 = 98,412.5
If the quotient is a whole number, then 2 and 98,412.5 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 | 196,825 | |
-1 | -196,825 |
Now, we try dividing 196,825 by 3:
196,825 ÷ 3 = 65,608.3333
If the quotient is a whole number, then 3 and 65,608.3333 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 | 196,825 | |
-1 | -196,825 |
Let's try dividing by 4:
196,825 ÷ 4 = 49,206.25
If the quotient is a whole number, then 4 and 49,206.25 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 | 196,825 | |
-1 | 196,825 |
If you did it right, you will end up with this table:
1 | 5 | 25 | 7,873 | 39,365 | 196,825 |
-1 | -5 | -25 | -7,873 | -39,365 | -196,825 |
Here are some more numbers to try:
Try the factor calculator