Q: What are the factor combinations of the number 592,957?
A:
Positive:
1 x 592957223 x 2659
Negative:
-1 x -592957-223 x -2659
A:
Positive:
1 x 592957223 x 2659
Negative:
-1 x -592957-223 x -2659
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 592,957, 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 | 592,957 | |
-1 | -592,957 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 592,957.
Example:
1 x 592,957 = 592,957
and
-1 x -592,957 = 592,957
Notice both answers equal 592,957
With that explanation out of the way, let's continue. Next, we take the number 592,957 and divide it by 2:
592,957 ÷ 2 = 296,478.5
If the quotient is a whole number, then 2 and 296,478.5 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 | 592,957 | |
-1 | -592,957 |
Now, we try dividing 592,957 by 3:
592,957 ÷ 3 = 197,652.3333
If the quotient is a whole number, then 3 and 197,652.3333 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 | 592,957 | |
-1 | -592,957 |
Let's try dividing by 4:
592,957 ÷ 4 = 148,239.25
If the quotient is a whole number, then 4 and 148,239.25 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 | 592,957 | |
-1 | 592,957 |
If you did it right, you will end up with this table:
1 | 223 | 2,659 | 592,957 |
-1 | -223 | -2,659 | -592,957 |
Here are some more numbers to try:
Try the factor calculator