Q: What are the factor combinations of the number 214,633?
A:
Positive:
1 x 21463371 x 3023
Negative:
-1 x -214633-71 x -3023
A:
Positive:
1 x 21463371 x 3023
Negative:
-1 x -214633-71 x -3023
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 214,633, 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 | 214,633 | |
-1 | -214,633 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 214,633.
Example:
1 x 214,633 = 214,633
and
-1 x -214,633 = 214,633
Notice both answers equal 214,633
With that explanation out of the way, let's continue. Next, we take the number 214,633 and divide it by 2:
214,633 ÷ 2 = 107,316.5
If the quotient is a whole number, then 2 and 107,316.5 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 | 214,633 | |
-1 | -214,633 |
Now, we try dividing 214,633 by 3:
214,633 ÷ 3 = 71,544.3333
If the quotient is a whole number, then 3 and 71,544.3333 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 | 214,633 | |
-1 | -214,633 |
Let's try dividing by 4:
214,633 ÷ 4 = 53,658.25
If the quotient is a whole number, then 4 and 53,658.25 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 | 214,633 | |
-1 | 214,633 |
If you did it right, you will end up with this table:
1 | 71 | 3,023 | 214,633 |
-1 | -71 | -3,023 | -214,633 |
Here are some more numbers to try:
Try the factor calculator