Q: What are the factor combinations of the number 873,593?
A:
Positive:
1 x 8735937 x 124799
Negative:
-1 x -873593-7 x -124799
A:
Positive:
1 x 8735937 x 124799
Negative:
-1 x -873593-7 x -124799
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 873,593, 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 | 873,593 | |
-1 | -873,593 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 873,593.
Example:
1 x 873,593 = 873,593
and
-1 x -873,593 = 873,593
Notice both answers equal 873,593
With that explanation out of the way, let's continue. Next, we take the number 873,593 and divide it by 2:
873,593 ÷ 2 = 436,796.5
If the quotient is a whole number, then 2 and 436,796.5 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 | 873,593 | |
-1 | -873,593 |
Now, we try dividing 873,593 by 3:
873,593 ÷ 3 = 291,197.6667
If the quotient is a whole number, then 3 and 291,197.6667 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 | 873,593 | |
-1 | -873,593 |
Let's try dividing by 4:
873,593 ÷ 4 = 218,398.25
If the quotient is a whole number, then 4 and 218,398.25 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 | 873,593 | |
-1 | 873,593 |
If you did it right, you will end up with this table:
1 | 7 | 124,799 | 873,593 |
-1 | -7 | -124,799 | -873,593 |
Here are some more numbers to try:
Try the factor calculator