Q: What are the factor combinations of the number 234,011,029?
A:
Positive:
1 x 2340110297 x 33430147
Negative:
-1 x -234011029-7 x -33430147
A:
Positive:
1 x 2340110297 x 33430147
Negative:
-1 x -234011029-7 x -33430147
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 234,011,029, 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 | 234,011,029 | |
-1 | -234,011,029 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 234,011,029.
Example:
1 x 234,011,029 = 234,011,029
and
-1 x -234,011,029 = 234,011,029
Notice both answers equal 234,011,029
With that explanation out of the way, let's continue. Next, we take the number 234,011,029 and divide it by 2:
234,011,029 ÷ 2 = 117,005,514.5
If the quotient is a whole number, then 2 and 117,005,514.5 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 | 234,011,029 | |
-1 | -234,011,029 |
Now, we try dividing 234,011,029 by 3:
234,011,029 ÷ 3 = 78,003,676.3333
If the quotient is a whole number, then 3 and 78,003,676.3333 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 | 234,011,029 | |
-1 | -234,011,029 |
Let's try dividing by 4:
234,011,029 ÷ 4 = 58,502,757.25
If the quotient is a whole number, then 4 and 58,502,757.25 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 | 234,011,029 | |
-1 | 234,011,029 |
If you did it right, you will end up with this table:
1 | 7 | 33,430,147 | 234,011,029 |
-1 | -7 | -33,430,147 | -234,011,029 |
Here are some more numbers to try:
Try the factor calculator