Q: What are the factor combinations of the number 927,859?
A:
Positive:
1 x 927859317 x 2927
Negative:
-1 x -927859-317 x -2927
A:
Positive:
1 x 927859317 x 2927
Negative:
-1 x -927859-317 x -2927
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 927,859, 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 | 927,859 | |
-1 | -927,859 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 927,859.
Example:
1 x 927,859 = 927,859
and
-1 x -927,859 = 927,859
Notice both answers equal 927,859
With that explanation out of the way, let's continue. Next, we take the number 927,859 and divide it by 2:
927,859 ÷ 2 = 463,929.5
If the quotient is a whole number, then 2 and 463,929.5 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 | 927,859 | |
-1 | -927,859 |
Now, we try dividing 927,859 by 3:
927,859 ÷ 3 = 309,286.3333
If the quotient is a whole number, then 3 and 309,286.3333 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 | 927,859 | |
-1 | -927,859 |
Let's try dividing by 4:
927,859 ÷ 4 = 231,964.75
If the quotient is a whole number, then 4 and 231,964.75 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 | 927,859 | |
-1 | 927,859 |
If you did it right, you will end up with this table:
1 | 317 | 2,927 | 927,859 |
-1 | -317 | -2,927 | -927,859 |
Here are some more numbers to try:
Try the factor calculator