Q: What are the factor combinations of the number 67,277?
A:
Positive:
1 x 672777 x 961149 x 1373
Negative:
-1 x -67277-7 x -9611-49 x -1373
A:
Positive:
1 x 672777 x 961149 x 1373
Negative:
-1 x -67277-7 x -9611-49 x -1373
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 67,277, 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 | 67,277 | |
-1 | -67,277 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 67,277.
Example:
1 x 67,277 = 67,277
and
-1 x -67,277 = 67,277
Notice both answers equal 67,277
With that explanation out of the way, let's continue. Next, we take the number 67,277 and divide it by 2:
67,277 ÷ 2 = 33,638.5
If the quotient is a whole number, then 2 and 33,638.5 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 | 67,277 | |
-1 | -67,277 |
Now, we try dividing 67,277 by 3:
67,277 ÷ 3 = 22,425.6667
If the quotient is a whole number, then 3 and 22,425.6667 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 | 67,277 | |
-1 | -67,277 |
Let's try dividing by 4:
67,277 ÷ 4 = 16,819.25
If the quotient is a whole number, then 4 and 16,819.25 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 | 67,277 | |
-1 | 67,277 |
If you did it right, you will end up with this table:
1 | 7 | 49 | 1,373 | 9,611 | 67,277 |
-1 | -7 | -49 | -1,373 | -9,611 | -67,277 |
Here are some more numbers to try:
Try the factor calculator