Q: What are the factor combinations of the number 180,415?
A:
Positive:
1 x 1804155 x 36083
Negative:
-1 x -180415-5 x -36083
A:
Positive:
1 x 1804155 x 36083
Negative:
-1 x -180415-5 x -36083
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 180,415, 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 | 180,415 | |
-1 | -180,415 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 180,415.
Example:
1 x 180,415 = 180,415
and
-1 x -180,415 = 180,415
Notice both answers equal 180,415
With that explanation out of the way, let's continue. Next, we take the number 180,415 and divide it by 2:
180,415 ÷ 2 = 90,207.5
If the quotient is a whole number, then 2 and 90,207.5 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 | 180,415 | |
-1 | -180,415 |
Now, we try dividing 180,415 by 3:
180,415 ÷ 3 = 60,138.3333
If the quotient is a whole number, then 3 and 60,138.3333 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 | 180,415 | |
-1 | -180,415 |
Let's try dividing by 4:
180,415 ÷ 4 = 45,103.75
If the quotient is a whole number, then 4 and 45,103.75 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 | 180,415 | |
-1 | 180,415 |
If you did it right, you will end up with this table:
1 | 5 | 36,083 | 180,415 |
-1 | -5 | -36,083 | -180,415 |
Here are some more numbers to try:
Try the factor calculator