Q: What are the factor combinations of the number 27,347?
A:
Positive:
1 x 2734723 x 118929 x 94341 x 667
Negative:
-1 x -27347-23 x -1189-29 x -943-41 x -667
A:
Positive:
1 x 2734723 x 118929 x 94341 x 667
Negative:
-1 x -27347-23 x -1189-29 x -943-41 x -667
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 27,347, 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 | 27,347 | |
-1 | -27,347 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 27,347.
Example:
1 x 27,347 = 27,347
and
-1 x -27,347 = 27,347
Notice both answers equal 27,347
With that explanation out of the way, let's continue. Next, we take the number 27,347 and divide it by 2:
27,347 ÷ 2 = 13,673.5
If the quotient is a whole number, then 2 and 13,673.5 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 | 27,347 | |
-1 | -27,347 |
Now, we try dividing 27,347 by 3:
27,347 ÷ 3 = 9,115.6667
If the quotient is a whole number, then 3 and 9,115.6667 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 | 27,347 | |
-1 | -27,347 |
Let's try dividing by 4:
27,347 ÷ 4 = 6,836.75
If the quotient is a whole number, then 4 and 6,836.75 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 | 27,347 | |
-1 | 27,347 |
If you did it right, you will end up with this table:
1 | 23 | 29 | 41 | 667 | 943 | 1,189 | 27,347 |
-1 | -23 | -29 | -41 | -667 | -943 | -1,189 | -27,347 |
Here are some more numbers to try:
Try the factor calculator