Q: What are the factor combinations of the number 29,795?
A:
Positive:
1 x 297955 x 595959 x 505101 x 295
Negative:
-1 x -29795-5 x -5959-59 x -505-101 x -295
A:
Positive:
1 x 297955 x 595959 x 505101 x 295
Negative:
-1 x -29795-5 x -5959-59 x -505-101 x -295
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 29,795, 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 | 29,795 | |
-1 | -29,795 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 29,795.
Example:
1 x 29,795 = 29,795
and
-1 x -29,795 = 29,795
Notice both answers equal 29,795
With that explanation out of the way, let's continue. Next, we take the number 29,795 and divide it by 2:
29,795 ÷ 2 = 14,897.5
If the quotient is a whole number, then 2 and 14,897.5 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 | 29,795 | |
-1 | -29,795 |
Now, we try dividing 29,795 by 3:
29,795 ÷ 3 = 9,931.6667
If the quotient is a whole number, then 3 and 9,931.6667 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 | 29,795 | |
-1 | -29,795 |
Let's try dividing by 4:
29,795 ÷ 4 = 7,448.75
If the quotient is a whole number, then 4 and 7,448.75 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 | 29,795 | |
-1 | 29,795 |
If you did it right, you will end up with this table:
1 | 5 | 59 | 101 | 295 | 505 | 5,959 | 29,795 |
-1 | -5 | -59 | -101 | -295 | -505 | -5,959 | -29,795 |
Here are some more numbers to try:
Try the factor calculator