Q: What are the factor combinations of the number 506,677?
A:
Positive:
1 x 50667789 x 5693
Negative:
-1 x -506677-89 x -5693
A:
Positive:
1 x 50667789 x 5693
Negative:
-1 x -506677-89 x -5693
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 506,677, 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 | 506,677 | |
-1 | -506,677 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 506,677.
Example:
1 x 506,677 = 506,677
and
-1 x -506,677 = 506,677
Notice both answers equal 506,677
With that explanation out of the way, let's continue. Next, we take the number 506,677 and divide it by 2:
506,677 ÷ 2 = 253,338.5
If the quotient is a whole number, then 2 and 253,338.5 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 | 506,677 | |
-1 | -506,677 |
Now, we try dividing 506,677 by 3:
506,677 ÷ 3 = 168,892.3333
If the quotient is a whole number, then 3 and 168,892.3333 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 | 506,677 | |
-1 | -506,677 |
Let's try dividing by 4:
506,677 ÷ 4 = 126,669.25
If the quotient is a whole number, then 4 and 126,669.25 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 | 506,677 | |
-1 | 506,677 |
If you did it right, you will end up with this table:
1 | 89 | 5,693 | 506,677 |
-1 | -89 | -5,693 | -506,677 |
Here are some more numbers to try:
Try the factor calculator