Q: What are the factor combinations of the number 232,064,033?
A:
Positive:
1 x 2320640331321 x 175673
Negative:
-1 x -232064033-1321 x -175673
A:
Positive:
1 x 2320640331321 x 175673
Negative:
-1 x -232064033-1321 x -175673
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 232,064,033, 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 | 232,064,033 | |
-1 | -232,064,033 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 232,064,033.
Example:
1 x 232,064,033 = 232,064,033
and
-1 x -232,064,033 = 232,064,033
Notice both answers equal 232,064,033
With that explanation out of the way, let's continue. Next, we take the number 232,064,033 and divide it by 2:
232,064,033 ÷ 2 = 116,032,016.5
If the quotient is a whole number, then 2 and 116,032,016.5 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 | 232,064,033 | |
-1 | -232,064,033 |
Now, we try dividing 232,064,033 by 3:
232,064,033 ÷ 3 = 77,354,677.6667
If the quotient is a whole number, then 3 and 77,354,677.6667 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 | 232,064,033 | |
-1 | -232,064,033 |
Let's try dividing by 4:
232,064,033 ÷ 4 = 58,016,008.25
If the quotient is a whole number, then 4 and 58,016,008.25 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 | 232,064,033 | |
-1 | 232,064,033 |
If you did it right, you will end up with this table:
1 | 1,321 | 175,673 | 232,064,033 |
-1 | -1,321 | -175,673 | -232,064,033 |
Here are some more numbers to try:
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