Q: What are the factor combinations of the number 71,939?
A:
Positive:
1 x 719397 x 1027743 x 1673239 x 301
Negative:
-1 x -71939-7 x -10277-43 x -1673-239 x -301
A:
Positive:
1 x 719397 x 1027743 x 1673239 x 301
Negative:
-1 x -71939-7 x -10277-43 x -1673-239 x -301
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 71,939, 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 | 71,939 | |
-1 | -71,939 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 71,939.
Example:
1 x 71,939 = 71,939
and
-1 x -71,939 = 71,939
Notice both answers equal 71,939
With that explanation out of the way, let's continue. Next, we take the number 71,939 and divide it by 2:
71,939 ÷ 2 = 35,969.5
If the quotient is a whole number, then 2 and 35,969.5 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 | 71,939 | |
-1 | -71,939 |
Now, we try dividing 71,939 by 3:
71,939 ÷ 3 = 23,979.6667
If the quotient is a whole number, then 3 and 23,979.6667 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 | 71,939 | |
-1 | -71,939 |
Let's try dividing by 4:
71,939 ÷ 4 = 17,984.75
If the quotient is a whole number, then 4 and 17,984.75 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 | 71,939 | |
-1 | 71,939 |
If you did it right, you will end up with this table:
1 | 7 | 43 | 239 | 301 | 1,673 | 10,277 | 71,939 |
-1 | -7 | -43 | -239 | -301 | -1,673 | -10,277 | -71,939 |
Here are some more numbers to try:
Try the factor calculator