Q: What are the factor combinations of the number 325,337?
A:
Positive:
1 x 32533719 x 17123
Negative:
-1 x -325337-19 x -17123
A:
Positive:
1 x 32533719 x 17123
Negative:
-1 x -325337-19 x -17123
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 325,337, 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 | 325,337 | |
-1 | -325,337 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 325,337.
Example:
1 x 325,337 = 325,337
and
-1 x -325,337 = 325,337
Notice both answers equal 325,337
With that explanation out of the way, let's continue. Next, we take the number 325,337 and divide it by 2:
325,337 ÷ 2 = 162,668.5
If the quotient is a whole number, then 2 and 162,668.5 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 | 325,337 | |
-1 | -325,337 |
Now, we try dividing 325,337 by 3:
325,337 ÷ 3 = 108,445.6667
If the quotient is a whole number, then 3 and 108,445.6667 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 | 325,337 | |
-1 | -325,337 |
Let's try dividing by 4:
325,337 ÷ 4 = 81,334.25
If the quotient is a whole number, then 4 and 81,334.25 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 | 325,337 | |
-1 | 325,337 |
If you did it right, you will end up with this table:
1 | 19 | 17,123 | 325,337 |
-1 | -19 | -17,123 | -325,337 |
Here are some more numbers to try:
Try the factor calculator