Q: What are the factor combinations of the number 105,797?
A:
Positive:
1 x 10579747 x 2251
Negative:
-1 x -105797-47 x -2251
A:
Positive:
1 x 10579747 x 2251
Negative:
-1 x -105797-47 x -2251
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 105,797, 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 | 105,797 | |
-1 | -105,797 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 105,797.
Example:
1 x 105,797 = 105,797
and
-1 x -105,797 = 105,797
Notice both answers equal 105,797
With that explanation out of the way, let's continue. Next, we take the number 105,797 and divide it by 2:
105,797 ÷ 2 = 52,898.5
If the quotient is a whole number, then 2 and 52,898.5 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 | 105,797 | |
-1 | -105,797 |
Now, we try dividing 105,797 by 3:
105,797 ÷ 3 = 35,265.6667
If the quotient is a whole number, then 3 and 35,265.6667 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 | 105,797 | |
-1 | -105,797 |
Let's try dividing by 4:
105,797 ÷ 4 = 26,449.25
If the quotient is a whole number, then 4 and 26,449.25 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 | 105,797 | |
-1 | 105,797 |
If you did it right, you will end up with this table:
1 | 47 | 2,251 | 105,797 |
-1 | -47 | -2,251 | -105,797 |
Here are some more numbers to try:
Try the factor calculator