Q: What are the factor combinations of the number 723,701?
A:
Positive:
1 x 72370111 x 65791121 x 5981
Negative:
-1 x -723701-11 x -65791-121 x -5981
A:
Positive:
1 x 72370111 x 65791121 x 5981
Negative:
-1 x -723701-11 x -65791-121 x -5981
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 723,701, 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 | 723,701 | |
-1 | -723,701 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 723,701.
Example:
1 x 723,701 = 723,701
and
-1 x -723,701 = 723,701
Notice both answers equal 723,701
With that explanation out of the way, let's continue. Next, we take the number 723,701 and divide it by 2:
723,701 ÷ 2 = 361,850.5
If the quotient is a whole number, then 2 and 361,850.5 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 | 723,701 | |
-1 | -723,701 |
Now, we try dividing 723,701 by 3:
723,701 ÷ 3 = 241,233.6667
If the quotient is a whole number, then 3 and 241,233.6667 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 | 723,701 | |
-1 | -723,701 |
Let's try dividing by 4:
723,701 ÷ 4 = 180,925.25
If the quotient is a whole number, then 4 and 180,925.25 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 | 723,701 | |
-1 | 723,701 |
If you did it right, you will end up with this table:
1 | 11 | 121 | 5,981 | 65,791 | 723,701 |
-1 | -11 | -121 | -5,981 | -65,791 | -723,701 |
Here are some more numbers to try:
Try the factor calculator