Q: What are the factor combinations of the number 313,444,213?
A:
Positive:
1 x 31344421317401 x 18013
Negative:
-1 x -313444213-17401 x -18013
A:
Positive:
1 x 31344421317401 x 18013
Negative:
-1 x -313444213-17401 x -18013
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 313,444,213, 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 | 313,444,213 | |
-1 | -313,444,213 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 313,444,213.
Example:
1 x 313,444,213 = 313,444,213
and
-1 x -313,444,213 = 313,444,213
Notice both answers equal 313,444,213
With that explanation out of the way, let's continue. Next, we take the number 313,444,213 and divide it by 2:
313,444,213 ÷ 2 = 156,722,106.5
If the quotient is a whole number, then 2 and 156,722,106.5 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 | 313,444,213 | |
-1 | -313,444,213 |
Now, we try dividing 313,444,213 by 3:
313,444,213 ÷ 3 = 104,481,404.3333
If the quotient is a whole number, then 3 and 104,481,404.3333 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 | 313,444,213 | |
-1 | -313,444,213 |
Let's try dividing by 4:
313,444,213 ÷ 4 = 78,361,053.25
If the quotient is a whole number, then 4 and 78,361,053.25 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 | 313,444,213 | |
-1 | 313,444,213 |
If you did it right, you will end up with this table:
1 | 17,401 | 18,013 | 313,444,213 |
-1 | -17,401 | -18,013 | -313,444,213 |
Here are some more numbers to try:
Try the factor calculator