Q: What are the factor combinations of the number 431,101,399?
A:
Positive:
1 x 43110139918043 x 23893
Negative:
-1 x -431101399-18043 x -23893
A:
Positive:
1 x 43110139918043 x 23893
Negative:
-1 x -431101399-18043 x -23893
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 431,101,399, 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 | 431,101,399 | |
-1 | -431,101,399 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 431,101,399.
Example:
1 x 431,101,399 = 431,101,399
and
-1 x -431,101,399 = 431,101,399
Notice both answers equal 431,101,399
With that explanation out of the way, let's continue. Next, we take the number 431,101,399 and divide it by 2:
431,101,399 ÷ 2 = 215,550,699.5
If the quotient is a whole number, then 2 and 215,550,699.5 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 | 431,101,399 | |
-1 | -431,101,399 |
Now, we try dividing 431,101,399 by 3:
431,101,399 ÷ 3 = 143,700,466.3333
If the quotient is a whole number, then 3 and 143,700,466.3333 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 | 431,101,399 | |
-1 | -431,101,399 |
Let's try dividing by 4:
431,101,399 ÷ 4 = 107,775,349.75
If the quotient is a whole number, then 4 and 107,775,349.75 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 | 431,101,399 | |
-1 | 431,101,399 |
If you did it right, you will end up with this table:
1 | 18,043 | 23,893 | 431,101,399 |
-1 | -18,043 | -23,893 | -431,101,399 |
Here are some more numbers to try:
Try the factor calculator