Q: What are the factor combinations of the number 529,601?
A:
Positive:
1 x 52960117 x 31153
Negative:
-1 x -529601-17 x -31153
A:
Positive:
1 x 52960117 x 31153
Negative:
-1 x -529601-17 x -31153
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 529,601, 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 | 529,601 | |
-1 | -529,601 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 529,601.
Example:
1 x 529,601 = 529,601
and
-1 x -529,601 = 529,601
Notice both answers equal 529,601
With that explanation out of the way, let's continue. Next, we take the number 529,601 and divide it by 2:
529,601 ÷ 2 = 264,800.5
If the quotient is a whole number, then 2 and 264,800.5 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 | 529,601 | |
-1 | -529,601 |
Now, we try dividing 529,601 by 3:
529,601 ÷ 3 = 176,533.6667
If the quotient is a whole number, then 3 and 176,533.6667 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 | 529,601 | |
-1 | -529,601 |
Let's try dividing by 4:
529,601 ÷ 4 = 132,400.25
If the quotient is a whole number, then 4 and 132,400.25 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 | 529,601 | |
-1 | 529,601 |
If you did it right, you will end up with this table:
1 | 17 | 31,153 | 529,601 |
-1 | -17 | -31,153 | -529,601 |
Here are some more numbers to try:
Try the factor calculator