Q: What are the factor combinations of the number 29,965?
A:
Positive:
1 x 299655 x 599313 x 230565 x 461
Negative:
-1 x -29965-5 x -5993-13 x -2305-65 x -461
A:
Positive:
1 x 299655 x 599313 x 230565 x 461
Negative:
-1 x -29965-5 x -5993-13 x -2305-65 x -461
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 29,965, 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 | 29,965 | |
-1 | -29,965 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 29,965.
Example:
1 x 29,965 = 29,965
and
-1 x -29,965 = 29,965
Notice both answers equal 29,965
With that explanation out of the way, let's continue. Next, we take the number 29,965 and divide it by 2:
29,965 ÷ 2 = 14,982.5
If the quotient is a whole number, then 2 and 14,982.5 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 | 29,965 | |
-1 | -29,965 |
Now, we try dividing 29,965 by 3:
29,965 ÷ 3 = 9,988.3333
If the quotient is a whole number, then 3 and 9,988.3333 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 | 29,965 | |
-1 | -29,965 |
Let's try dividing by 4:
29,965 ÷ 4 = 7,491.25
If the quotient is a whole number, then 4 and 7,491.25 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 | 29,965 | |
-1 | 29,965 |
If you did it right, you will end up with this table:
1 | 5 | 13 | 65 | 461 | 2,305 | 5,993 | 29,965 |
-1 | -5 | -13 | -65 | -461 | -2,305 | -5,993 | -29,965 |
Here are some more numbers to try:
Try the factor calculator