Q: What are the factor combinations of the number 367,399?
A:
Positive:
1 x 36739947 x 7817
Negative:
-1 x -367399-47 x -7817
A:
Positive:
1 x 36739947 x 7817
Negative:
-1 x -367399-47 x -7817
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 367,399, 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 | 367,399 | |
-1 | -367,399 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 367,399.
Example:
1 x 367,399 = 367,399
and
-1 x -367,399 = 367,399
Notice both answers equal 367,399
With that explanation out of the way, let's continue. Next, we take the number 367,399 and divide it by 2:
367,399 ÷ 2 = 183,699.5
If the quotient is a whole number, then 2 and 183,699.5 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 | 367,399 | |
-1 | -367,399 |
Now, we try dividing 367,399 by 3:
367,399 ÷ 3 = 122,466.3333
If the quotient is a whole number, then 3 and 122,466.3333 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 | 367,399 | |
-1 | -367,399 |
Let's try dividing by 4:
367,399 ÷ 4 = 91,849.75
If the quotient is a whole number, then 4 and 91,849.75 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 | 367,399 | |
-1 | 367,399 |
If you did it right, you will end up with this table:
1 | 47 | 7,817 | 367,399 |
-1 | -47 | -7,817 | -367,399 |
Here are some more numbers to try:
Try the factor calculator