Q: What are the factor combinations of the number 271,699?
A:
Positive:
1 x 27169923 x 11813
Negative:
-1 x -271699-23 x -11813
A:
Positive:
1 x 27169923 x 11813
Negative:
-1 x -271699-23 x -11813
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 271,699, 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 | 271,699 | |
-1 | -271,699 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 271,699.
Example:
1 x 271,699 = 271,699
and
-1 x -271,699 = 271,699
Notice both answers equal 271,699
With that explanation out of the way, let's continue. Next, we take the number 271,699 and divide it by 2:
271,699 ÷ 2 = 135,849.5
If the quotient is a whole number, then 2 and 135,849.5 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 | 271,699 | |
-1 | -271,699 |
Now, we try dividing 271,699 by 3:
271,699 ÷ 3 = 90,566.3333
If the quotient is a whole number, then 3 and 90,566.3333 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 | 271,699 | |
-1 | -271,699 |
Let's try dividing by 4:
271,699 ÷ 4 = 67,924.75
If the quotient is a whole number, then 4 and 67,924.75 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 | 271,699 | |
-1 | 271,699 |
If you did it right, you will end up with this table:
1 | 23 | 11,813 | 271,699 |
-1 | -23 | -11,813 | -271,699 |
Here are some more numbers to try:
Try the factor calculator