Q: What are the factor combinations of the number 319,367?
A:
Positive:
1 x 31936759 x 5413
Negative:
-1 x -319367-59 x -5413
A:
Positive:
1 x 31936759 x 5413
Negative:
-1 x -319367-59 x -5413
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 319,367, 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 | 319,367 | |
-1 | -319,367 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 319,367.
Example:
1 x 319,367 = 319,367
and
-1 x -319,367 = 319,367
Notice both answers equal 319,367
With that explanation out of the way, let's continue. Next, we take the number 319,367 and divide it by 2:
319,367 ÷ 2 = 159,683.5
If the quotient is a whole number, then 2 and 159,683.5 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 | 319,367 | |
-1 | -319,367 |
Now, we try dividing 319,367 by 3:
319,367 ÷ 3 = 106,455.6667
If the quotient is a whole number, then 3 and 106,455.6667 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 | 319,367 | |
-1 | -319,367 |
Let's try dividing by 4:
319,367 ÷ 4 = 79,841.75
If the quotient is a whole number, then 4 and 79,841.75 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 | 319,367 | |
-1 | 319,367 |
If you did it right, you will end up with this table:
1 | 59 | 5,413 | 319,367 |
-1 | -59 | -5,413 | -319,367 |
Here are some more numbers to try:
Try the factor calculator