Q: What are the factor combinations of the number 90,505?
A:
Positive:
1 x 905055 x 1810123 x 3935115 x 787
Negative:
-1 x -90505-5 x -18101-23 x -3935-115 x -787
A:
Positive:
1 x 905055 x 1810123 x 3935115 x 787
Negative:
-1 x -90505-5 x -18101-23 x -3935-115 x -787
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 90,505, 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 | 90,505 | |
-1 | -90,505 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 90,505.
Example:
1 x 90,505 = 90,505
and
-1 x -90,505 = 90,505
Notice both answers equal 90,505
With that explanation out of the way, let's continue. Next, we take the number 90,505 and divide it by 2:
90,505 ÷ 2 = 45,252.5
If the quotient is a whole number, then 2 and 45,252.5 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 | 90,505 | |
-1 | -90,505 |
Now, we try dividing 90,505 by 3:
90,505 ÷ 3 = 30,168.3333
If the quotient is a whole number, then 3 and 30,168.3333 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 | 90,505 | |
-1 | -90,505 |
Let's try dividing by 4:
90,505 ÷ 4 = 22,626.25
If the quotient is a whole number, then 4 and 22,626.25 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 | 90,505 | |
-1 | 90,505 |
If you did it right, you will end up with this table:
1 | 5 | 23 | 115 | 787 | 3,935 | 18,101 | 90,505 |
-1 | -5 | -23 | -115 | -787 | -3,935 | -18,101 | -90,505 |
Here are some more numbers to try:
Try the factor calculator