Q: What are the factor combinations of the number 799,913?
A:
Positive:
1 x 79991367 x 11939
Negative:
-1 x -799913-67 x -11939
A:
Positive:
1 x 79991367 x 11939
Negative:
-1 x -799913-67 x -11939
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 799,913, 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 | 799,913 | |
-1 | -799,913 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 799,913.
Example:
1 x 799,913 = 799,913
and
-1 x -799,913 = 799,913
Notice both answers equal 799,913
With that explanation out of the way, let's continue. Next, we take the number 799,913 and divide it by 2:
799,913 ÷ 2 = 399,956.5
If the quotient is a whole number, then 2 and 399,956.5 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 | 799,913 | |
-1 | -799,913 |
Now, we try dividing 799,913 by 3:
799,913 ÷ 3 = 266,637.6667
If the quotient is a whole number, then 3 and 266,637.6667 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 | 799,913 | |
-1 | -799,913 |
Let's try dividing by 4:
799,913 ÷ 4 = 199,978.25
If the quotient is a whole number, then 4 and 199,978.25 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 | 799,913 | |
-1 | 799,913 |
If you did it right, you will end up with this table:
1 | 67 | 11,939 | 799,913 |
-1 | -67 | -11,939 | -799,913 |
Here are some more numbers to try:
Try the factor calculator