Q: What are the factor combinations of the number 310,872,245?
A:
Positive:
1 x 3108722455 x 62174449
Negative:
-1 x -310872245-5 x -62174449
A:
Positive:
1 x 3108722455 x 62174449
Negative:
-1 x -310872245-5 x -62174449
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 310,872,245, 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 | 310,872,245 | |
-1 | -310,872,245 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 310,872,245.
Example:
1 x 310,872,245 = 310,872,245
and
-1 x -310,872,245 = 310,872,245
Notice both answers equal 310,872,245
With that explanation out of the way, let's continue. Next, we take the number 310,872,245 and divide it by 2:
310,872,245 ÷ 2 = 155,436,122.5
If the quotient is a whole number, then 2 and 155,436,122.5 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 | 310,872,245 | |
-1 | -310,872,245 |
Now, we try dividing 310,872,245 by 3:
310,872,245 ÷ 3 = 103,624,081.6667
If the quotient is a whole number, then 3 and 103,624,081.6667 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 | 310,872,245 | |
-1 | -310,872,245 |
Let's try dividing by 4:
310,872,245 ÷ 4 = 77,718,061.25
If the quotient is a whole number, then 4 and 77,718,061.25 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 | 310,872,245 | |
-1 | 310,872,245 |
If you did it right, you will end up with this table:
1 | 5 | 62,174,449 | 310,872,245 |
-1 | -5 | -62,174,449 | -310,872,245 |
Here are some more numbers to try:
Try the factor calculator