Q: What are the factor combinations of the number 372,329?
A:
Positive:
1 x 372329199 x 1871
Negative:
-1 x -372329-199 x -1871
A:
Positive:
1 x 372329199 x 1871
Negative:
-1 x -372329-199 x -1871
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 372,329, 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 | 372,329 | |
-1 | -372,329 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 372,329.
Example:
1 x 372,329 = 372,329
and
-1 x -372,329 = 372,329
Notice both answers equal 372,329
With that explanation out of the way, let's continue. Next, we take the number 372,329 and divide it by 2:
372,329 ÷ 2 = 186,164.5
If the quotient is a whole number, then 2 and 186,164.5 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 | 372,329 | |
-1 | -372,329 |
Now, we try dividing 372,329 by 3:
372,329 ÷ 3 = 124,109.6667
If the quotient is a whole number, then 3 and 124,109.6667 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 | 372,329 | |
-1 | -372,329 |
Let's try dividing by 4:
372,329 ÷ 4 = 93,082.25
If the quotient is a whole number, then 4 and 93,082.25 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 | 372,329 | |
-1 | 372,329 |
If you did it right, you will end up with this table:
1 | 199 | 1,871 | 372,329 |
-1 | -199 | -1,871 | -372,329 |
Here are some more numbers to try:
Try the factor calculator