Q: What are the factor combinations of the number 344,144,441?
A:
Positive:
1 x 3441444412011 x 171131
Negative:
-1 x -344144441-2011 x -171131
A:
Positive:
1 x 3441444412011 x 171131
Negative:
-1 x -344144441-2011 x -171131
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 344,144,441, 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 | 344,144,441 | |
-1 | -344,144,441 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 344,144,441.
Example:
1 x 344,144,441 = 344,144,441
and
-1 x -344,144,441 = 344,144,441
Notice both answers equal 344,144,441
With that explanation out of the way, let's continue. Next, we take the number 344,144,441 and divide it by 2:
344,144,441 ÷ 2 = 172,072,220.5
If the quotient is a whole number, then 2 and 172,072,220.5 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 | 344,144,441 | |
-1 | -344,144,441 |
Now, we try dividing 344,144,441 by 3:
344,144,441 ÷ 3 = 114,714,813.6667
If the quotient is a whole number, then 3 and 114,714,813.6667 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 | 344,144,441 | |
-1 | -344,144,441 |
Let's try dividing by 4:
344,144,441 ÷ 4 = 86,036,110.25
If the quotient is a whole number, then 4 and 86,036,110.25 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 | 344,144,441 | |
-1 | 344,144,441 |
If you did it right, you will end up with this table:
1 | 2,011 | 171,131 | 344,144,441 |
-1 | -2,011 | -171,131 | -344,144,441 |
Here are some more numbers to try:
Try the factor calculator