Q: What are the factor combinations of the number 365,215?
A:
Positive:
1 x 3652155 x 73043
Negative:
-1 x -365215-5 x -73043
A:
Positive:
1 x 3652155 x 73043
Negative:
-1 x -365215-5 x -73043
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 365,215, 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 | 365,215 | |
-1 | -365,215 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 365,215.
Example:
1 x 365,215 = 365,215
and
-1 x -365,215 = 365,215
Notice both answers equal 365,215
With that explanation out of the way, let's continue. Next, we take the number 365,215 and divide it by 2:
365,215 ÷ 2 = 182,607.5
If the quotient is a whole number, then 2 and 182,607.5 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 | 365,215 | |
-1 | -365,215 |
Now, we try dividing 365,215 by 3:
365,215 ÷ 3 = 121,738.3333
If the quotient is a whole number, then 3 and 121,738.3333 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 | 365,215 | |
-1 | -365,215 |
Let's try dividing by 4:
365,215 ÷ 4 = 91,303.75
If the quotient is a whole number, then 4 and 91,303.75 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 | 365,215 | |
-1 | 365,215 |
If you did it right, you will end up with this table:
1 | 5 | 73,043 | 365,215 |
-1 | -5 | -73,043 | -365,215 |
Here are some more numbers to try:
Try the factor calculator