Q: What are the factor combinations of the number 45,485?
A:
Positive:
1 x 454855 x 909711 x 413555 x 827
Negative:
-1 x -45485-5 x -9097-11 x -4135-55 x -827
A:
Positive:
1 x 454855 x 909711 x 413555 x 827
Negative:
-1 x -45485-5 x -9097-11 x -4135-55 x -827
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 45,485, 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 | 45,485 | |
-1 | -45,485 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 45,485.
Example:
1 x 45,485 = 45,485
and
-1 x -45,485 = 45,485
Notice both answers equal 45,485
With that explanation out of the way, let's continue. Next, we take the number 45,485 and divide it by 2:
45,485 ÷ 2 = 22,742.5
If the quotient is a whole number, then 2 and 22,742.5 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 | 45,485 | |
-1 | -45,485 |
Now, we try dividing 45,485 by 3:
45,485 ÷ 3 = 15,161.6667
If the quotient is a whole number, then 3 and 15,161.6667 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 | 45,485 | |
-1 | -45,485 |
Let's try dividing by 4:
45,485 ÷ 4 = 11,371.25
If the quotient is a whole number, then 4 and 11,371.25 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 | 45,485 | |
-1 | 45,485 |
If you did it right, you will end up with this table:
1 | 5 | 11 | 55 | 827 | 4,135 | 9,097 | 45,485 |
-1 | -5 | -11 | -55 | -827 | -4,135 | -9,097 | -45,485 |
Here are some more numbers to try:
Try the factor calculator