Q: What are the factor combinations of the number 23,313,833?
A:
Positive:
1 x 2331383347 x 496039
Negative:
-1 x -23313833-47 x -496039
A:
Positive:
1 x 2331383347 x 496039
Negative:
-1 x -23313833-47 x -496039
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 23,313,833, 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 | 23,313,833 | |
-1 | -23,313,833 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 23,313,833.
Example:
1 x 23,313,833 = 23,313,833
and
-1 x -23,313,833 = 23,313,833
Notice both answers equal 23,313,833
With that explanation out of the way, let's continue. Next, we take the number 23,313,833 and divide it by 2:
23,313,833 ÷ 2 = 11,656,916.5
If the quotient is a whole number, then 2 and 11,656,916.5 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 | 23,313,833 | |
-1 | -23,313,833 |
Now, we try dividing 23,313,833 by 3:
23,313,833 ÷ 3 = 7,771,277.6667
If the quotient is a whole number, then 3 and 7,771,277.6667 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 | 23,313,833 | |
-1 | -23,313,833 |
Let's try dividing by 4:
23,313,833 ÷ 4 = 5,828,458.25
If the quotient is a whole number, then 4 and 5,828,458.25 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 | 23,313,833 | |
-1 | 23,313,833 |
If you did it right, you will end up with this table:
1 | 47 | 496,039 | 23,313,833 |
-1 | -47 | -496,039 | -23,313,833 |
Here are some more numbers to try:
Try the factor calculator