Q: What are the factor combinations of the number 234,241,013?
A:
Positive:
1 x 23424101373 x 3208781
Negative:
-1 x -234241013-73 x -3208781
A:
Positive:
1 x 23424101373 x 3208781
Negative:
-1 x -234241013-73 x -3208781
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 234,241,013, 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 | 234,241,013 | |
-1 | -234,241,013 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 234,241,013.
Example:
1 x 234,241,013 = 234,241,013
and
-1 x -234,241,013 = 234,241,013
Notice both answers equal 234,241,013
With that explanation out of the way, let's continue. Next, we take the number 234,241,013 and divide it by 2:
234,241,013 ÷ 2 = 117,120,506.5
If the quotient is a whole number, then 2 and 117,120,506.5 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 | 234,241,013 | |
-1 | -234,241,013 |
Now, we try dividing 234,241,013 by 3:
234,241,013 ÷ 3 = 78,080,337.6667
If the quotient is a whole number, then 3 and 78,080,337.6667 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 | 234,241,013 | |
-1 | -234,241,013 |
Let's try dividing by 4:
234,241,013 ÷ 4 = 58,560,253.25
If the quotient is a whole number, then 4 and 58,560,253.25 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 | 234,241,013 | |
-1 | 234,241,013 |
If you did it right, you will end up with this table:
1 | 73 | 3,208,781 | 234,241,013 |
-1 | -73 | -3,208,781 | -234,241,013 |
Here are some more numbers to try:
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