Q: What are the factor combinations of the number 390,371?
A:
Positive:
1 x 39037117 x 22963
Negative:
-1 x -390371-17 x -22963
A:
Positive:
1 x 39037117 x 22963
Negative:
-1 x -390371-17 x -22963
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 390,371, 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 | 390,371 | |
-1 | -390,371 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 390,371.
Example:
1 x 390,371 = 390,371
and
-1 x -390,371 = 390,371
Notice both answers equal 390,371
With that explanation out of the way, let's continue. Next, we take the number 390,371 and divide it by 2:
390,371 ÷ 2 = 195,185.5
If the quotient is a whole number, then 2 and 195,185.5 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 | 390,371 | |
-1 | -390,371 |
Now, we try dividing 390,371 by 3:
390,371 ÷ 3 = 130,123.6667
If the quotient is a whole number, then 3 and 130,123.6667 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 | 390,371 | |
-1 | -390,371 |
Let's try dividing by 4:
390,371 ÷ 4 = 97,592.75
If the quotient is a whole number, then 4 and 97,592.75 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 | 390,371 | |
-1 | 390,371 |
If you did it right, you will end up with this table:
1 | 17 | 22,963 | 390,371 |
-1 | -17 | -22,963 | -390,371 |
Here are some more numbers to try:
Try the factor calculator