Q: What are the factor combinations of the number 363,667?
A:
Positive:
1 x 363667359 x 1013
Negative:
-1 x -363667-359 x -1013
A:
Positive:
1 x 363667359 x 1013
Negative:
-1 x -363667-359 x -1013
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 363,667, 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 | 363,667 | |
-1 | -363,667 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 363,667.
Example:
1 x 363,667 = 363,667
and
-1 x -363,667 = 363,667
Notice both answers equal 363,667
With that explanation out of the way, let's continue. Next, we take the number 363,667 and divide it by 2:
363,667 ÷ 2 = 181,833.5
If the quotient is a whole number, then 2 and 181,833.5 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 | 363,667 | |
-1 | -363,667 |
Now, we try dividing 363,667 by 3:
363,667 ÷ 3 = 121,222.3333
If the quotient is a whole number, then 3 and 121,222.3333 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 | 363,667 | |
-1 | -363,667 |
Let's try dividing by 4:
363,667 ÷ 4 = 90,916.75
If the quotient is a whole number, then 4 and 90,916.75 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 | 363,667 | |
-1 | 363,667 |
If you did it right, you will end up with this table:
1 | 359 | 1,013 | 363,667 |
-1 | -359 | -1,013 | -363,667 |
Here are some more numbers to try:
Try the factor calculator