Q: What are the factor combinations of the number 566,687?
A:
Positive:
1 x 56668711 x 51517
Negative:
-1 x -566687-11 x -51517
A:
Positive:
1 x 56668711 x 51517
Negative:
-1 x -566687-11 x -51517
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 566,687, 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 | 566,687 | |
-1 | -566,687 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 566,687.
Example:
1 x 566,687 = 566,687
and
-1 x -566,687 = 566,687
Notice both answers equal 566,687
With that explanation out of the way, let's continue. Next, we take the number 566,687 and divide it by 2:
566,687 ÷ 2 = 283,343.5
If the quotient is a whole number, then 2 and 283,343.5 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 | 566,687 | |
-1 | -566,687 |
Now, we try dividing 566,687 by 3:
566,687 ÷ 3 = 188,895.6667
If the quotient is a whole number, then 3 and 188,895.6667 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 | 566,687 | |
-1 | -566,687 |
Let's try dividing by 4:
566,687 ÷ 4 = 141,671.75
If the quotient is a whole number, then 4 and 141,671.75 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 | 566,687 | |
-1 | 566,687 |
If you did it right, you will end up with this table:
1 | 11 | 51,517 | 566,687 |
-1 | -11 | -51,517 | -566,687 |
Here are some more numbers to try:
Try the factor calculator