Q: What are the factor combinations of the number 110,659?
A:
Positive:
1 x 11065941 x 2699
Negative:
-1 x -110659-41 x -2699
A:
Positive:
1 x 11065941 x 2699
Negative:
-1 x -110659-41 x -2699
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 110,659, 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 | 110,659 | |
-1 | -110,659 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 110,659.
Example:
1 x 110,659 = 110,659
and
-1 x -110,659 = 110,659
Notice both answers equal 110,659
With that explanation out of the way, let's continue. Next, we take the number 110,659 and divide it by 2:
110,659 ÷ 2 = 55,329.5
If the quotient is a whole number, then 2 and 55,329.5 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 | 110,659 | |
-1 | -110,659 |
Now, we try dividing 110,659 by 3:
110,659 ÷ 3 = 36,886.3333
If the quotient is a whole number, then 3 and 36,886.3333 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 | 110,659 | |
-1 | -110,659 |
Let's try dividing by 4:
110,659 ÷ 4 = 27,664.75
If the quotient is a whole number, then 4 and 27,664.75 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 | 110,659 | |
-1 | 110,659 |
If you did it right, you will end up with this table:
1 | 41 | 2,699 | 110,659 |
-1 | -41 | -2,699 | -110,659 |
Here are some more numbers to try:
Try the factor calculator