Q: What are the factor combinations of the number 931,601?
A:
Positive:
1 x 93160111 x 84691
Negative:
-1 x -931601-11 x -84691
A:
Positive:
1 x 93160111 x 84691
Negative:
-1 x -931601-11 x -84691
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 931,601, 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 | 931,601 | |
-1 | -931,601 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 931,601.
Example:
1 x 931,601 = 931,601
and
-1 x -931,601 = 931,601
Notice both answers equal 931,601
With that explanation out of the way, let's continue. Next, we take the number 931,601 and divide it by 2:
931,601 ÷ 2 = 465,800.5
If the quotient is a whole number, then 2 and 465,800.5 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 | 931,601 | |
-1 | -931,601 |
Now, we try dividing 931,601 by 3:
931,601 ÷ 3 = 310,533.6667
If the quotient is a whole number, then 3 and 310,533.6667 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 | 931,601 | |
-1 | -931,601 |
Let's try dividing by 4:
931,601 ÷ 4 = 232,900.25
If the quotient is a whole number, then 4 and 232,900.25 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 | 931,601 | |
-1 | 931,601 |
If you did it right, you will end up with this table:
1 | 11 | 84,691 | 931,601 |
-1 | -11 | -84,691 | -931,601 |
Here are some more numbers to try:
Try the factor calculator