Q: What are the factor combinations of the number 93,821?
A:
Positive:
1 x 938217 x 1340313 x 721791 x 1031
Negative:
-1 x -93821-7 x -13403-13 x -7217-91 x -1031
A:
Positive:
1 x 938217 x 1340313 x 721791 x 1031
Negative:
-1 x -93821-7 x -13403-13 x -7217-91 x -1031
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 93,821, 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 | 93,821 | |
-1 | -93,821 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 93,821.
Example:
1 x 93,821 = 93,821
and
-1 x -93,821 = 93,821
Notice both answers equal 93,821
With that explanation out of the way, let's continue. Next, we take the number 93,821 and divide it by 2:
93,821 ÷ 2 = 46,910.5
If the quotient is a whole number, then 2 and 46,910.5 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 | 93,821 | |
-1 | -93,821 |
Now, we try dividing 93,821 by 3:
93,821 ÷ 3 = 31,273.6667
If the quotient is a whole number, then 3 and 31,273.6667 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 | 93,821 | |
-1 | -93,821 |
Let's try dividing by 4:
93,821 ÷ 4 = 23,455.25
If the quotient is a whole number, then 4 and 23,455.25 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 | 93,821 | |
-1 | 93,821 |
If you did it right, you will end up with this table:
1 | 7 | 13 | 91 | 1,031 | 7,217 | 13,403 | 93,821 |
-1 | -7 | -13 | -91 | -1,031 | -7,217 | -13,403 | -93,821 |
Here are some more numbers to try:
Try the factor calculator