Q: What are the factor combinations of the number 504,847?
A:
Positive:
1 x 5048477 x 7212149 x 10303
Negative:
-1 x -504847-7 x -72121-49 x -10303
A:
Positive:
1 x 5048477 x 7212149 x 10303
Negative:
-1 x -504847-7 x -72121-49 x -10303
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 504,847, 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 | 504,847 | |
-1 | -504,847 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 504,847.
Example:
1 x 504,847 = 504,847
and
-1 x -504,847 = 504,847
Notice both answers equal 504,847
With that explanation out of the way, let's continue. Next, we take the number 504,847 and divide it by 2:
504,847 ÷ 2 = 252,423.5
If the quotient is a whole number, then 2 and 252,423.5 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 | 504,847 | |
-1 | -504,847 |
Now, we try dividing 504,847 by 3:
504,847 ÷ 3 = 168,282.3333
If the quotient is a whole number, then 3 and 168,282.3333 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 | 504,847 | |
-1 | -504,847 |
Let's try dividing by 4:
504,847 ÷ 4 = 126,211.75
If the quotient is a whole number, then 4 and 126,211.75 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 | 504,847 | |
-1 | 504,847 |
If you did it right, you will end up with this table:
1 | 7 | 49 | 10,303 | 72,121 | 504,847 |
-1 | -7 | -49 | -10,303 | -72,121 | -504,847 |
Here are some more numbers to try:
Try the factor calculator