Q: What are the factor combinations of the number 206,147?
A:
Positive:
1 x 206147211 x 977
Negative:
-1 x -206147-211 x -977
A:
Positive:
1 x 206147211 x 977
Negative:
-1 x -206147-211 x -977
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 206,147, 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 | 206,147 | |
-1 | -206,147 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 206,147.
Example:
1 x 206,147 = 206,147
and
-1 x -206,147 = 206,147
Notice both answers equal 206,147
With that explanation out of the way, let's continue. Next, we take the number 206,147 and divide it by 2:
206,147 ÷ 2 = 103,073.5
If the quotient is a whole number, then 2 and 103,073.5 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 | 206,147 | |
-1 | -206,147 |
Now, we try dividing 206,147 by 3:
206,147 ÷ 3 = 68,715.6667
If the quotient is a whole number, then 3 and 68,715.6667 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 | 206,147 | |
-1 | -206,147 |
Let's try dividing by 4:
206,147 ÷ 4 = 51,536.75
If the quotient is a whole number, then 4 and 51,536.75 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 | 206,147 | |
-1 | 206,147 |
If you did it right, you will end up with this table:
1 | 211 | 977 | 206,147 |
-1 | -211 | -977 | -206,147 |
Here are some more numbers to try:
Try the factor calculator