Q: What are the factor combinations of the number 501,775?
A:
Positive:
1 x 5017755 x 10035525 x 20071
Negative:
-1 x -501775-5 x -100355-25 x -20071
A:
Positive:
1 x 5017755 x 10035525 x 20071
Negative:
-1 x -501775-5 x -100355-25 x -20071
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 501,775, 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 | 501,775 | |
-1 | -501,775 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 501,775.
Example:
1 x 501,775 = 501,775
and
-1 x -501,775 = 501,775
Notice both answers equal 501,775
With that explanation out of the way, let's continue. Next, we take the number 501,775 and divide it by 2:
501,775 ÷ 2 = 250,887.5
If the quotient is a whole number, then 2 and 250,887.5 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 | 501,775 | |
-1 | -501,775 |
Now, we try dividing 501,775 by 3:
501,775 ÷ 3 = 167,258.3333
If the quotient is a whole number, then 3 and 167,258.3333 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 | 501,775 | |
-1 | -501,775 |
Let's try dividing by 4:
501,775 ÷ 4 = 125,443.75
If the quotient is a whole number, then 4 and 125,443.75 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 | 501,775 | |
-1 | 501,775 |
If you did it right, you will end up with this table:
1 | 5 | 25 | 20,071 | 100,355 | 501,775 |
-1 | -5 | -25 | -20,071 | -100,355 | -501,775 |
Here are some more numbers to try:
Try the factor calculator