Q: What are the factor combinations of the number 792,653?
A:
Positive:
1 x 79265341 x 19333
Negative:
-1 x -792653-41 x -19333
A:
Positive:
1 x 79265341 x 19333
Negative:
-1 x -792653-41 x -19333
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 792,653, 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 | 792,653 | |
-1 | -792,653 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 792,653.
Example:
1 x 792,653 = 792,653
and
-1 x -792,653 = 792,653
Notice both answers equal 792,653
With that explanation out of the way, let's continue. Next, we take the number 792,653 and divide it by 2:
792,653 ÷ 2 = 396,326.5
If the quotient is a whole number, then 2 and 396,326.5 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 | 792,653 | |
-1 | -792,653 |
Now, we try dividing 792,653 by 3:
792,653 ÷ 3 = 264,217.6667
If the quotient is a whole number, then 3 and 264,217.6667 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 | 792,653 | |
-1 | -792,653 |
Let's try dividing by 4:
792,653 ÷ 4 = 198,163.25
If the quotient is a whole number, then 4 and 198,163.25 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 | 792,653 | |
-1 | 792,653 |
If you did it right, you will end up with this table:
1 | 41 | 19,333 | 792,653 |
-1 | -41 | -19,333 | -792,653 |
Here are some more numbers to try:
Try the factor calculator