Q: What are the factor combinations of the number 201,949?
A:
Positive:
1 x 20194911 x 18359121 x 1669
Negative:
-1 x -201949-11 x -18359-121 x -1669
A:
Positive:
1 x 20194911 x 18359121 x 1669
Negative:
-1 x -201949-11 x -18359-121 x -1669
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 201,949, 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 | 201,949 | |
-1 | -201,949 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 201,949.
Example:
1 x 201,949 = 201,949
and
-1 x -201,949 = 201,949
Notice both answers equal 201,949
With that explanation out of the way, let's continue. Next, we take the number 201,949 and divide it by 2:
201,949 ÷ 2 = 100,974.5
If the quotient is a whole number, then 2 and 100,974.5 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 | 201,949 | |
-1 | -201,949 |
Now, we try dividing 201,949 by 3:
201,949 ÷ 3 = 67,316.3333
If the quotient is a whole number, then 3 and 67,316.3333 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 | 201,949 | |
-1 | -201,949 |
Let's try dividing by 4:
201,949 ÷ 4 = 50,487.25
If the quotient is a whole number, then 4 and 50,487.25 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 | 201,949 | |
-1 | 201,949 |
If you did it right, you will end up with this table:
1 | 11 | 121 | 1,669 | 18,359 | 201,949 |
-1 | -11 | -121 | -1,669 | -18,359 | -201,949 |
Here are some more numbers to try:
Try the factor calculator