Q: What are the factor combinations of the number 511,069?
A:
Positive:
1 x 51106913 x 39313
Negative:
-1 x -511069-13 x -39313
A:
Positive:
1 x 51106913 x 39313
Negative:
-1 x -511069-13 x -39313
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 511,069, 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 | 511,069 | |
-1 | -511,069 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 511,069.
Example:
1 x 511,069 = 511,069
and
-1 x -511,069 = 511,069
Notice both answers equal 511,069
With that explanation out of the way, let's continue. Next, we take the number 511,069 and divide it by 2:
511,069 ÷ 2 = 255,534.5
If the quotient is a whole number, then 2 and 255,534.5 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 | 511,069 | |
-1 | -511,069 |
Now, we try dividing 511,069 by 3:
511,069 ÷ 3 = 170,356.3333
If the quotient is a whole number, then 3 and 170,356.3333 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 | 511,069 | |
-1 | -511,069 |
Let's try dividing by 4:
511,069 ÷ 4 = 127,767.25
If the quotient is a whole number, then 4 and 127,767.25 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 | 511,069 | |
-1 | 511,069 |
If you did it right, you will end up with this table:
1 | 13 | 39,313 | 511,069 |
-1 | -13 | -39,313 | -511,069 |
Here are some more numbers to try:
Try the factor calculator