Q: What are the factor combinations of the number 310,841,749?
A:
Positive:
1 x 31084174929 x 10718681
Negative:
-1 x -310841749-29 x -10718681
A:
Positive:
1 x 31084174929 x 10718681
Negative:
-1 x -310841749-29 x -10718681
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 310,841,749, 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 | 310,841,749 | |
-1 | -310,841,749 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 310,841,749.
Example:
1 x 310,841,749 = 310,841,749
and
-1 x -310,841,749 = 310,841,749
Notice both answers equal 310,841,749
With that explanation out of the way, let's continue. Next, we take the number 310,841,749 and divide it by 2:
310,841,749 ÷ 2 = 155,420,874.5
If the quotient is a whole number, then 2 and 155,420,874.5 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 | 310,841,749 | |
-1 | -310,841,749 |
Now, we try dividing 310,841,749 by 3:
310,841,749 ÷ 3 = 103,613,916.3333
If the quotient is a whole number, then 3 and 103,613,916.3333 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 | 310,841,749 | |
-1 | -310,841,749 |
Let's try dividing by 4:
310,841,749 ÷ 4 = 77,710,437.25
If the quotient is a whole number, then 4 and 77,710,437.25 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 | 310,841,749 | |
-1 | 310,841,749 |
If you did it right, you will end up with this table:
1 | 29 | 10,718,681 | 310,841,749 |
-1 | -29 | -10,718,681 | -310,841,749 |
Here are some more numbers to try:
Try the factor calculator