Q: What are the factor combinations of the number 271,249?
A:
Positive:
1 x 27124911 x 24659
Negative:
-1 x -271249-11 x -24659
A:
Positive:
1 x 27124911 x 24659
Negative:
-1 x -271249-11 x -24659
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 271,249, 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 | 271,249 | |
-1 | -271,249 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 271,249.
Example:
1 x 271,249 = 271,249
and
-1 x -271,249 = 271,249
Notice both answers equal 271,249
With that explanation out of the way, let's continue. Next, we take the number 271,249 and divide it by 2:
271,249 ÷ 2 = 135,624.5
If the quotient is a whole number, then 2 and 135,624.5 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 | 271,249 | |
-1 | -271,249 |
Now, we try dividing 271,249 by 3:
271,249 ÷ 3 = 90,416.3333
If the quotient is a whole number, then 3 and 90,416.3333 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 | 271,249 | |
-1 | -271,249 |
Let's try dividing by 4:
271,249 ÷ 4 = 67,812.25
If the quotient is a whole number, then 4 and 67,812.25 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 | 271,249 | |
-1 | 271,249 |
If you did it right, you will end up with this table:
1 | 11 | 24,659 | 271,249 |
-1 | -11 | -24,659 | -271,249 |
Here are some more numbers to try:
Try the factor calculator