Q: What are the factor combinations of the number 67,027?
A:
Positive:
1 x 6702797 x 691
Negative:
-1 x -67027-97 x -691
A:
Positive:
1 x 6702797 x 691
Negative:
-1 x -67027-97 x -691
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 67,027, 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 | 67,027 | |
-1 | -67,027 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 67,027.
Example:
1 x 67,027 = 67,027
and
-1 x -67,027 = 67,027
Notice both answers equal 67,027
With that explanation out of the way, let's continue. Next, we take the number 67,027 and divide it by 2:
67,027 ÷ 2 = 33,513.5
If the quotient is a whole number, then 2 and 33,513.5 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 | 67,027 | |
-1 | -67,027 |
Now, we try dividing 67,027 by 3:
67,027 ÷ 3 = 22,342.3333
If the quotient is a whole number, then 3 and 22,342.3333 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 | 67,027 | |
-1 | -67,027 |
Let's try dividing by 4:
67,027 ÷ 4 = 16,756.75
If the quotient is a whole number, then 4 and 16,756.75 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 | 67,027 | |
-1 | 67,027 |
If you did it right, you will end up with this table:
1 | 97 | 691 | 67,027 |
-1 | -97 | -691 | -67,027 |
Here are some more numbers to try:
Try the factor calculator