Q: What are the factor combinations of the number 775,679?
A:
Positive:
1 x 77567941 x 18919
Negative:
-1 x -775679-41 x -18919
A:
Positive:
1 x 77567941 x 18919
Negative:
-1 x -775679-41 x -18919
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 775,679, 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 | 775,679 | |
-1 | -775,679 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 775,679.
Example:
1 x 775,679 = 775,679
and
-1 x -775,679 = 775,679
Notice both answers equal 775,679
With that explanation out of the way, let's continue. Next, we take the number 775,679 and divide it by 2:
775,679 ÷ 2 = 387,839.5
If the quotient is a whole number, then 2 and 387,839.5 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 | 775,679 | |
-1 | -775,679 |
Now, we try dividing 775,679 by 3:
775,679 ÷ 3 = 258,559.6667
If the quotient is a whole number, then 3 and 258,559.6667 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 | 775,679 | |
-1 | -775,679 |
Let's try dividing by 4:
775,679 ÷ 4 = 193,919.75
If the quotient is a whole number, then 4 and 193,919.75 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 | 775,679 | |
-1 | 775,679 |
If you did it right, you will end up with this table:
1 | 41 | 18,919 | 775,679 |
-1 | -41 | -18,919 | -775,679 |
Here are some more numbers to try:
Try the factor calculator