Q: What are the factor combinations of the number 182,669?
A:
Positive:
1 x 18266937 x 4937
Negative:
-1 x -182669-37 x -4937
A:
Positive:
1 x 18266937 x 4937
Negative:
-1 x -182669-37 x -4937
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 182,669, 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 | 182,669 | |
-1 | -182,669 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 182,669.
Example:
1 x 182,669 = 182,669
and
-1 x -182,669 = 182,669
Notice both answers equal 182,669
With that explanation out of the way, let's continue. Next, we take the number 182,669 and divide it by 2:
182,669 ÷ 2 = 91,334.5
If the quotient is a whole number, then 2 and 91,334.5 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 | 182,669 | |
-1 | -182,669 |
Now, we try dividing 182,669 by 3:
182,669 ÷ 3 = 60,889.6667
If the quotient is a whole number, then 3 and 60,889.6667 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 | 182,669 | |
-1 | -182,669 |
Let's try dividing by 4:
182,669 ÷ 4 = 45,667.25
If the quotient is a whole number, then 4 and 45,667.25 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 | 182,669 | |
-1 | 182,669 |
If you did it right, you will end up with this table:
1 | 37 | 4,937 | 182,669 |
-1 | -37 | -4,937 | -182,669 |
Here are some more numbers to try:
Try the factor calculator