Q: What are the factor combinations of the number 314,312,213?
A:
Positive:
1 x 3143122136203 x 50671
Negative:
-1 x -314312213-6203 x -50671
A:
Positive:
1 x 3143122136203 x 50671
Negative:
-1 x -314312213-6203 x -50671
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 314,312,213, 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 | 314,312,213 | |
-1 | -314,312,213 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 314,312,213.
Example:
1 x 314,312,213 = 314,312,213
and
-1 x -314,312,213 = 314,312,213
Notice both answers equal 314,312,213
With that explanation out of the way, let's continue. Next, we take the number 314,312,213 and divide it by 2:
314,312,213 ÷ 2 = 157,156,106.5
If the quotient is a whole number, then 2 and 157,156,106.5 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 | 314,312,213 | |
-1 | -314,312,213 |
Now, we try dividing 314,312,213 by 3:
314,312,213 ÷ 3 = 104,770,737.6667
If the quotient is a whole number, then 3 and 104,770,737.6667 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 | 314,312,213 | |
-1 | -314,312,213 |
Let's try dividing by 4:
314,312,213 ÷ 4 = 78,578,053.25
If the quotient is a whole number, then 4 and 78,578,053.25 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 | 314,312,213 | |
-1 | 314,312,213 |
If you did it right, you will end up with this table:
1 | 6,203 | 50,671 | 314,312,213 |
-1 | -6,203 | -50,671 | -314,312,213 |
Here are some more numbers to try:
Try the factor calculator