Q: What are the factor combinations of the number 30,007?
A:
Positive:
1 x 3000737 x 811
Negative:
-1 x -30007-37 x -811
A:
Positive:
1 x 3000737 x 811
Negative:
-1 x -30007-37 x -811
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 30,007, 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 | 30,007 | |
-1 | -30,007 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 30,007.
Example:
1 x 30,007 = 30,007
and
-1 x -30,007 = 30,007
Notice both answers equal 30,007
With that explanation out of the way, let's continue. Next, we take the number 30,007 and divide it by 2:
30,007 ÷ 2 = 15,003.5
If the quotient is a whole number, then 2 and 15,003.5 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 | 30,007 | |
-1 | -30,007 |
Now, we try dividing 30,007 by 3:
30,007 ÷ 3 = 10,002.3333
If the quotient is a whole number, then 3 and 10,002.3333 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 | 30,007 | |
-1 | -30,007 |
Let's try dividing by 4:
30,007 ÷ 4 = 7,501.75
If the quotient is a whole number, then 4 and 7,501.75 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 | 30,007 | |
-1 | 30,007 |
If you did it right, you will end up with this table:
1 | 37 | 811 | 30,007 |
-1 | -37 | -811 | -30,007 |
Here are some more numbers to try:
Try the factor calculator