Q: What are the factor combinations of the number 93,845?
A:
Positive:
1 x 938455 x 18769137 x 685
Negative:
-1 x -93845-5 x -18769-137 x -685
A:
Positive:
1 x 938455 x 18769137 x 685
Negative:
-1 x -93845-5 x -18769-137 x -685
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 93,845, 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 | 93,845 | |
-1 | -93,845 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 93,845.
Example:
1 x 93,845 = 93,845
and
-1 x -93,845 = 93,845
Notice both answers equal 93,845
With that explanation out of the way, let's continue. Next, we take the number 93,845 and divide it by 2:
93,845 ÷ 2 = 46,922.5
If the quotient is a whole number, then 2 and 46,922.5 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 | 93,845 | |
-1 | -93,845 |
Now, we try dividing 93,845 by 3:
93,845 ÷ 3 = 31,281.6667
If the quotient is a whole number, then 3 and 31,281.6667 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 | 93,845 | |
-1 | -93,845 |
Let's try dividing by 4:
93,845 ÷ 4 = 23,461.25
If the quotient is a whole number, then 4 and 23,461.25 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 | 93,845 | |
-1 | 93,845 |
If you did it right, you will end up with this table:
1 | 5 | 137 | 685 | 18,769 | 93,845 |
-1 | -5 | -137 | -685 | -18,769 | -93,845 |
Here are some more numbers to try:
Try the factor calculator