Q: What are the factor combinations of the number 723,179?
A:
Positive:
1 x 72317983 x 8713
Negative:
-1 x -723179-83 x -8713
A:
Positive:
1 x 72317983 x 8713
Negative:
-1 x -723179-83 x -8713
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 723,179, 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 | 723,179 | |
-1 | -723,179 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 723,179.
Example:
1 x 723,179 = 723,179
and
-1 x -723,179 = 723,179
Notice both answers equal 723,179
With that explanation out of the way, let's continue. Next, we take the number 723,179 and divide it by 2:
723,179 ÷ 2 = 361,589.5
If the quotient is a whole number, then 2 and 361,589.5 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 | 723,179 | |
-1 | -723,179 |
Now, we try dividing 723,179 by 3:
723,179 ÷ 3 = 241,059.6667
If the quotient is a whole number, then 3 and 241,059.6667 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 | 723,179 | |
-1 | -723,179 |
Let's try dividing by 4:
723,179 ÷ 4 = 180,794.75
If the quotient is a whole number, then 4 and 180,794.75 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 | 723,179 | |
-1 | 723,179 |
If you did it right, you will end up with this table:
1 | 83 | 8,713 | 723,179 |
-1 | -83 | -8,713 | -723,179 |
Here are some more numbers to try:
Try the factor calculator