Q: What are the factor combinations of the number 71,915?
A:
Positive:
1 x 719155 x 1438319 x 378595 x 757
Negative:
-1 x -71915-5 x -14383-19 x -3785-95 x -757
A:
Positive:
1 x 719155 x 1438319 x 378595 x 757
Negative:
-1 x -71915-5 x -14383-19 x -3785-95 x -757
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 71,915, 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 | 71,915 | |
-1 | -71,915 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 71,915.
Example:
1 x 71,915 = 71,915
and
-1 x -71,915 = 71,915
Notice both answers equal 71,915
With that explanation out of the way, let's continue. Next, we take the number 71,915 and divide it by 2:
71,915 ÷ 2 = 35,957.5
If the quotient is a whole number, then 2 and 35,957.5 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 | 71,915 | |
-1 | -71,915 |
Now, we try dividing 71,915 by 3:
71,915 ÷ 3 = 23,971.6667
If the quotient is a whole number, then 3 and 23,971.6667 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 | 71,915 | |
-1 | -71,915 |
Let's try dividing by 4:
71,915 ÷ 4 = 17,978.75
If the quotient is a whole number, then 4 and 17,978.75 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 | 71,915 | |
-1 | 71,915 |
If you did it right, you will end up with this table:
1 | 5 | 19 | 95 | 757 | 3,785 | 14,383 | 71,915 |
-1 | -5 | -19 | -95 | -757 | -3,785 | -14,383 | -71,915 |
Here are some more numbers to try:
Try the factor calculator