Q: What are the factor combinations of the number 529,793?
A:
Positive:
1 x 52979311 x 48163
Negative:
-1 x -529793-11 x -48163
A:
Positive:
1 x 52979311 x 48163
Negative:
-1 x -529793-11 x -48163
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 529,793, 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 | 529,793 | |
-1 | -529,793 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 529,793.
Example:
1 x 529,793 = 529,793
and
-1 x -529,793 = 529,793
Notice both answers equal 529,793
With that explanation out of the way, let's continue. Next, we take the number 529,793 and divide it by 2:
529,793 ÷ 2 = 264,896.5
If the quotient is a whole number, then 2 and 264,896.5 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 | 529,793 | |
-1 | -529,793 |
Now, we try dividing 529,793 by 3:
529,793 ÷ 3 = 176,597.6667
If the quotient is a whole number, then 3 and 176,597.6667 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 | 529,793 | |
-1 | -529,793 |
Let's try dividing by 4:
529,793 ÷ 4 = 132,448.25
If the quotient is a whole number, then 4 and 132,448.25 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 | 529,793 | |
-1 | 529,793 |
If you did it right, you will end up with this table:
1 | 11 | 48,163 | 529,793 |
-1 | -11 | -48,163 | -529,793 |
Here are some more numbers to try:
Try the factor calculator