Q: What are the factor combinations of the number 202,249?
A:
Positive:
1 x 20224917 x 11897
Negative:
-1 x -202249-17 x -11897
A:
Positive:
1 x 20224917 x 11897
Negative:
-1 x -202249-17 x -11897
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 202,249, 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 | 202,249 | |
-1 | -202,249 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 202,249.
Example:
1 x 202,249 = 202,249
and
-1 x -202,249 = 202,249
Notice both answers equal 202,249
With that explanation out of the way, let's continue. Next, we take the number 202,249 and divide it by 2:
202,249 ÷ 2 = 101,124.5
If the quotient is a whole number, then 2 and 101,124.5 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 | 202,249 | |
-1 | -202,249 |
Now, we try dividing 202,249 by 3:
202,249 ÷ 3 = 67,416.3333
If the quotient is a whole number, then 3 and 67,416.3333 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 | 202,249 | |
-1 | -202,249 |
Let's try dividing by 4:
202,249 ÷ 4 = 50,562.25
If the quotient is a whole number, then 4 and 50,562.25 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 | 202,249 | |
-1 | 202,249 |
If you did it right, you will end up with this table:
1 | 17 | 11,897 | 202,249 |
-1 | -17 | -11,897 | -202,249 |
Here are some more numbers to try:
Try the factor calculator