Q: What are the factor combinations of the number 310,403,341?
A:
Positive:
1 x 31040334131 x 10013011
Negative:
-1 x -310403341-31 x -10013011
A:
Positive:
1 x 31040334131 x 10013011
Negative:
-1 x -310403341-31 x -10013011
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 310,403,341, 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 | 310,403,341 | |
-1 | -310,403,341 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 310,403,341.
Example:
1 x 310,403,341 = 310,403,341
and
-1 x -310,403,341 = 310,403,341
Notice both answers equal 310,403,341
With that explanation out of the way, let's continue. Next, we take the number 310,403,341 and divide it by 2:
310,403,341 ÷ 2 = 155,201,670.5
If the quotient is a whole number, then 2 and 155,201,670.5 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 | 310,403,341 | |
-1 | -310,403,341 |
Now, we try dividing 310,403,341 by 3:
310,403,341 ÷ 3 = 103,467,780.3333
If the quotient is a whole number, then 3 and 103,467,780.3333 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 | 310,403,341 | |
-1 | -310,403,341 |
Let's try dividing by 4:
310,403,341 ÷ 4 = 77,600,835.25
If the quotient is a whole number, then 4 and 77,600,835.25 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 | 310,403,341 | |
-1 | 310,403,341 |
If you did it right, you will end up with this table:
1 | 31 | 10,013,011 | 310,403,341 |
-1 | -31 | -10,013,011 | -310,403,341 |
Here are some more numbers to try:
Try the factor calculator