Q: What are the factor combinations of the number 306,695?
A:
Positive:
1 x 3066955 x 61339
Negative:
-1 x -306695-5 x -61339
A:
Positive:
1 x 3066955 x 61339
Negative:
-1 x -306695-5 x -61339
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 306,695, 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 | 306,695 | |
-1 | -306,695 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 306,695.
Example:
1 x 306,695 = 306,695
and
-1 x -306,695 = 306,695
Notice both answers equal 306,695
With that explanation out of the way, let's continue. Next, we take the number 306,695 and divide it by 2:
306,695 ÷ 2 = 153,347.5
If the quotient is a whole number, then 2 and 153,347.5 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 | 306,695 | |
-1 | -306,695 |
Now, we try dividing 306,695 by 3:
306,695 ÷ 3 = 102,231.6667
If the quotient is a whole number, then 3 and 102,231.6667 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 | 306,695 | |
-1 | -306,695 |
Let's try dividing by 4:
306,695 ÷ 4 = 76,673.75
If the quotient is a whole number, then 4 and 76,673.75 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 | 306,695 | |
-1 | 306,695 |
If you did it right, you will end up with this table:
1 | 5 | 61,339 | 306,695 |
-1 | -5 | -61,339 | -306,695 |
Here are some more numbers to try:
Try the factor calculator