Q: What are the factor combinations of the number 232,312,033?
A:
Positive:
1 x 2323120332707 x 85819
Negative:
-1 x -232312033-2707 x -85819
A:
Positive:
1 x 2323120332707 x 85819
Negative:
-1 x -232312033-2707 x -85819
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 232,312,033, 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 | 232,312,033 | |
-1 | -232,312,033 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 232,312,033.
Example:
1 x 232,312,033 = 232,312,033
and
-1 x -232,312,033 = 232,312,033
Notice both answers equal 232,312,033
With that explanation out of the way, let's continue. Next, we take the number 232,312,033 and divide it by 2:
232,312,033 ÷ 2 = 116,156,016.5
If the quotient is a whole number, then 2 and 116,156,016.5 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 | 232,312,033 | |
-1 | -232,312,033 |
Now, we try dividing 232,312,033 by 3:
232,312,033 ÷ 3 = 77,437,344.3333
If the quotient is a whole number, then 3 and 77,437,344.3333 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 | 232,312,033 | |
-1 | -232,312,033 |
Let's try dividing by 4:
232,312,033 ÷ 4 = 58,078,008.25
If the quotient is a whole number, then 4 and 58,078,008.25 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 | 232,312,033 | |
-1 | 232,312,033 |
If you did it right, you will end up with this table:
1 | 2,707 | 85,819 | 232,312,033 |
-1 | -2,707 | -85,819 | -232,312,033 |
Here are some more numbers to try:
Try the factor calculator