Q: What are the factor combinations of the number 468,091?
A:
Positive:
1 x 46809113 x 36007
Negative:
-1 x -468091-13 x -36007
A:
Positive:
1 x 46809113 x 36007
Negative:
-1 x -468091-13 x -36007
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 468,091, 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 | 468,091 | |
-1 | -468,091 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 468,091.
Example:
1 x 468,091 = 468,091
and
-1 x -468,091 = 468,091
Notice both answers equal 468,091
With that explanation out of the way, let's continue. Next, we take the number 468,091 and divide it by 2:
468,091 ÷ 2 = 234,045.5
If the quotient is a whole number, then 2 and 234,045.5 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 | 468,091 | |
-1 | -468,091 |
Now, we try dividing 468,091 by 3:
468,091 ÷ 3 = 156,030.3333
If the quotient is a whole number, then 3 and 156,030.3333 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 | 468,091 | |
-1 | -468,091 |
Let's try dividing by 4:
468,091 ÷ 4 = 117,022.75
If the quotient is a whole number, then 4 and 117,022.75 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 | 468,091 | |
-1 | 468,091 |
If you did it right, you will end up with this table:
1 | 13 | 36,007 | 468,091 |
-1 | -13 | -36,007 | -468,091 |
Here are some more numbers to try:
Try the factor calculator