Q: What are the factor combinations of the number 507,055?
A:
Positive:
1 x 5070555 x 101411
Negative:
-1 x -507055-5 x -101411
A:
Positive:
1 x 5070555 x 101411
Negative:
-1 x -507055-5 x -101411
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 507,055, 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 | 507,055 | |
-1 | -507,055 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 507,055.
Example:
1 x 507,055 = 507,055
and
-1 x -507,055 = 507,055
Notice both answers equal 507,055
With that explanation out of the way, let's continue. Next, we take the number 507,055 and divide it by 2:
507,055 ÷ 2 = 253,527.5
If the quotient is a whole number, then 2 and 253,527.5 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 | 507,055 | |
-1 | -507,055 |
Now, we try dividing 507,055 by 3:
507,055 ÷ 3 = 169,018.3333
If the quotient is a whole number, then 3 and 169,018.3333 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 | 507,055 | |
-1 | -507,055 |
Let's try dividing by 4:
507,055 ÷ 4 = 126,763.75
If the quotient is a whole number, then 4 and 126,763.75 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 | 507,055 | |
-1 | 507,055 |
If you did it right, you will end up with this table:
1 | 5 | 101,411 | 507,055 |
-1 | -5 | -101,411 | -507,055 |
Here are some more numbers to try:
Try the factor calculator