Q: What are the factor combinations of the number 307,697?
A:
Positive:
1 x 30769713 x 23669
Negative:
-1 x -307697-13 x -23669
A:
Positive:
1 x 30769713 x 23669
Negative:
-1 x -307697-13 x -23669
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 307,697, 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 | 307,697 | |
-1 | -307,697 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 307,697.
Example:
1 x 307,697 = 307,697
and
-1 x -307,697 = 307,697
Notice both answers equal 307,697
With that explanation out of the way, let's continue. Next, we take the number 307,697 and divide it by 2:
307,697 ÷ 2 = 153,848.5
If the quotient is a whole number, then 2 and 153,848.5 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 | 307,697 | |
-1 | -307,697 |
Now, we try dividing 307,697 by 3:
307,697 ÷ 3 = 102,565.6667
If the quotient is a whole number, then 3 and 102,565.6667 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 | 307,697 | |
-1 | -307,697 |
Let's try dividing by 4:
307,697 ÷ 4 = 76,924.25
If the quotient is a whole number, then 4 and 76,924.25 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 | 307,697 | |
-1 | 307,697 |
If you did it right, you will end up with this table:
1 | 13 | 23,669 | 307,697 |
-1 | -13 | -23,669 | -307,697 |
Here are some more numbers to try:
Try the factor calculator