Q: What are the factor combinations of the number 68,105?
A:
Positive:
1 x 681055 x 1362153 x 1285257 x 265
Negative:
-1 x -68105-5 x -13621-53 x -1285-257 x -265
A:
Positive:
1 x 681055 x 1362153 x 1285257 x 265
Negative:
-1 x -68105-5 x -13621-53 x -1285-257 x -265
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 68,105, 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 | 68,105 | |
-1 | -68,105 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 68,105.
Example:
1 x 68,105 = 68,105
and
-1 x -68,105 = 68,105
Notice both answers equal 68,105
With that explanation out of the way, let's continue. Next, we take the number 68,105 and divide it by 2:
68,105 ÷ 2 = 34,052.5
If the quotient is a whole number, then 2 and 34,052.5 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 | 68,105 | |
-1 | -68,105 |
Now, we try dividing 68,105 by 3:
68,105 ÷ 3 = 22,701.6667
If the quotient is a whole number, then 3 and 22,701.6667 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 | 68,105 | |
-1 | -68,105 |
Let's try dividing by 4:
68,105 ÷ 4 = 17,026.25
If the quotient is a whole number, then 4 and 17,026.25 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 | 68,105 | |
-1 | 68,105 |
If you did it right, you will end up with this table:
1 | 5 | 53 | 257 | 265 | 1,285 | 13,621 | 68,105 |
-1 | -5 | -53 | -257 | -265 | -1,285 | -13,621 | -68,105 |
Here are some more numbers to try:
Try the factor calculator