Q: What are the factor combinations of the number 96,515?
A:
Positive:
1 x 965155 x 1930397 x 995199 x 485
Negative:
-1 x -96515-5 x -19303-97 x -995-199 x -485
A:
Positive:
1 x 965155 x 1930397 x 995199 x 485
Negative:
-1 x -96515-5 x -19303-97 x -995-199 x -485
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 96,515, 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 | 96,515 | |
-1 | -96,515 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 96,515.
Example:
1 x 96,515 = 96,515
and
-1 x -96,515 = 96,515
Notice both answers equal 96,515
With that explanation out of the way, let's continue. Next, we take the number 96,515 and divide it by 2:
96,515 ÷ 2 = 48,257.5
If the quotient is a whole number, then 2 and 48,257.5 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 | 96,515 | |
-1 | -96,515 |
Now, we try dividing 96,515 by 3:
96,515 ÷ 3 = 32,171.6667
If the quotient is a whole number, then 3 and 32,171.6667 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 | 96,515 | |
-1 | -96,515 |
Let's try dividing by 4:
96,515 ÷ 4 = 24,128.75
If the quotient is a whole number, then 4 and 24,128.75 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 | 96,515 | |
-1 | 96,515 |
If you did it right, you will end up with this table:
1 | 5 | 97 | 199 | 485 | 995 | 19,303 | 96,515 |
-1 | -5 | -97 | -199 | -485 | -995 | -19,303 | -96,515 |
Here are some more numbers to try:
Try the factor calculator