Q: What are the factor combinations of the number 30,629?
A:
Positive:
1 x 30629109 x 281
Negative:
-1 x -30629-109 x -281
A:
Positive:
1 x 30629109 x 281
Negative:
-1 x -30629-109 x -281
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 30,629, 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 | 30,629 | |
-1 | -30,629 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 30,629.
Example:
1 x 30,629 = 30,629
and
-1 x -30,629 = 30,629
Notice both answers equal 30,629
With that explanation out of the way, let's continue. Next, we take the number 30,629 and divide it by 2:
30,629 ÷ 2 = 15,314.5
If the quotient is a whole number, then 2 and 15,314.5 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 | 30,629 | |
-1 | -30,629 |
Now, we try dividing 30,629 by 3:
30,629 ÷ 3 = 10,209.6667
If the quotient is a whole number, then 3 and 10,209.6667 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 | 30,629 | |
-1 | -30,629 |
Let's try dividing by 4:
30,629 ÷ 4 = 7,657.25
If the quotient is a whole number, then 4 and 7,657.25 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 | 30,629 | |
-1 | 30,629 |
If you did it right, you will end up with this table:
1 | 109 | 281 | 30,629 |
-1 | -109 | -281 | -30,629 |
Here are some more numbers to try:
Try the factor calculator