Q: What are the factor combinations of the number 233,977?
A:
Positive:
1 x 23397783 x 2819
Negative:
-1 x -233977-83 x -2819
A:
Positive:
1 x 23397783 x 2819
Negative:
-1 x -233977-83 x -2819
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 233,977, 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 | 233,977 | |
-1 | -233,977 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 233,977.
Example:
1 x 233,977 = 233,977
and
-1 x -233,977 = 233,977
Notice both answers equal 233,977
With that explanation out of the way, let's continue. Next, we take the number 233,977 and divide it by 2:
233,977 ÷ 2 = 116,988.5
If the quotient is a whole number, then 2 and 116,988.5 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 | 233,977 | |
-1 | -233,977 |
Now, we try dividing 233,977 by 3:
233,977 ÷ 3 = 77,992.3333
If the quotient is a whole number, then 3 and 77,992.3333 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 | 233,977 | |
-1 | -233,977 |
Let's try dividing by 4:
233,977 ÷ 4 = 58,494.25
If the quotient is a whole number, then 4 and 58,494.25 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 | 233,977 | |
-1 | 233,977 |
If you did it right, you will end up with this table:
1 | 83 | 2,819 | 233,977 |
-1 | -83 | -2,819 | -233,977 |
Here are some more numbers to try:
Try the factor calculator