Q: What are the factor combinations of the number 27,097?
A:
Positive:
1 x 270977 x 387149 x 55379 x 343
Negative:
-1 x -27097-7 x -3871-49 x -553-79 x -343
A:
Positive:
1 x 270977 x 387149 x 55379 x 343
Negative:
-1 x -27097-7 x -3871-49 x -553-79 x -343
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 27,097, 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 | 27,097 | |
-1 | -27,097 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 27,097.
Example:
1 x 27,097 = 27,097
and
-1 x -27,097 = 27,097
Notice both answers equal 27,097
With that explanation out of the way, let's continue. Next, we take the number 27,097 and divide it by 2:
27,097 ÷ 2 = 13,548.5
If the quotient is a whole number, then 2 and 13,548.5 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 | 27,097 | |
-1 | -27,097 |
Now, we try dividing 27,097 by 3:
27,097 ÷ 3 = 9,032.3333
If the quotient is a whole number, then 3 and 9,032.3333 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 | 27,097 | |
-1 | -27,097 |
Let's try dividing by 4:
27,097 ÷ 4 = 6,774.25
If the quotient is a whole number, then 4 and 6,774.25 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 | 27,097 | |
-1 | 27,097 |
If you did it right, you will end up with this table:
1 | 7 | 49 | 79 | 343 | 553 | 3,871 | 27,097 |
-1 | -7 | -49 | -79 | -343 | -553 | -3,871 | -27,097 |
Here are some more numbers to try:
Try the factor calculator