Q: What are the factor combinations of the number 431,304,679?
A:
Positive:
1 x 43130467913 x 33177283
Negative:
-1 x -431304679-13 x -33177283
A:
Positive:
1 x 43130467913 x 33177283
Negative:
-1 x -431304679-13 x -33177283
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 431,304,679, 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 | 431,304,679 | |
-1 | -431,304,679 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 431,304,679.
Example:
1 x 431,304,679 = 431,304,679
and
-1 x -431,304,679 = 431,304,679
Notice both answers equal 431,304,679
With that explanation out of the way, let's continue. Next, we take the number 431,304,679 and divide it by 2:
431,304,679 ÷ 2 = 215,652,339.5
If the quotient is a whole number, then 2 and 215,652,339.5 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 | 431,304,679 | |
-1 | -431,304,679 |
Now, we try dividing 431,304,679 by 3:
431,304,679 ÷ 3 = 143,768,226.3333
If the quotient is a whole number, then 3 and 143,768,226.3333 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 | 431,304,679 | |
-1 | -431,304,679 |
Let's try dividing by 4:
431,304,679 ÷ 4 = 107,826,169.75
If the quotient is a whole number, then 4 and 107,826,169.75 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 | 431,304,679 | |
-1 | 431,304,679 |
If you did it right, you will end up with this table:
1 | 13 | 33,177,283 | 431,304,679 |
-1 | -13 | -33,177,283 | -431,304,679 |
Here are some more numbers to try:
Try the factor calculator