Q: What are the factor combinations of the number 712,823?
A:
Positive:
1 x 71282319 x 37517
Negative:
-1 x -712823-19 x -37517
A:
Positive:
1 x 71282319 x 37517
Negative:
-1 x -712823-19 x -37517
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 712,823, 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 | 712,823 | |
-1 | -712,823 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 712,823.
Example:
1 x 712,823 = 712,823
and
-1 x -712,823 = 712,823
Notice both answers equal 712,823
With that explanation out of the way, let's continue. Next, we take the number 712,823 and divide it by 2:
712,823 ÷ 2 = 356,411.5
If the quotient is a whole number, then 2 and 356,411.5 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 | 712,823 | |
-1 | -712,823 |
Now, we try dividing 712,823 by 3:
712,823 ÷ 3 = 237,607.6667
If the quotient is a whole number, then 3 and 237,607.6667 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 | 712,823 | |
-1 | -712,823 |
Let's try dividing by 4:
712,823 ÷ 4 = 178,205.75
If the quotient is a whole number, then 4 and 178,205.75 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 | 712,823 | |
-1 | 712,823 |
If you did it right, you will end up with this table:
1 | 19 | 37,517 | 712,823 |
-1 | -19 | -37,517 | -712,823 |
Here are some more numbers to try:
Try the factor calculator