Q: What are the factor combinations of the number 96,205?
A:
Positive:
1 x 962055 x 1924171 x 1355271 x 355
Negative:
-1 x -96205-5 x -19241-71 x -1355-271 x -355
A:
Positive:
1 x 962055 x 1924171 x 1355271 x 355
Negative:
-1 x -96205-5 x -19241-71 x -1355-271 x -355
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 96,205, 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 | 96,205 | |
-1 | -96,205 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 96,205.
Example:
1 x 96,205 = 96,205
and
-1 x -96,205 = 96,205
Notice both answers equal 96,205
With that explanation out of the way, let's continue. Next, we take the number 96,205 and divide it by 2:
96,205 ÷ 2 = 48,102.5
If the quotient is a whole number, then 2 and 48,102.5 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 | 96,205 | |
-1 | -96,205 |
Now, we try dividing 96,205 by 3:
96,205 ÷ 3 = 32,068.3333
If the quotient is a whole number, then 3 and 32,068.3333 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 | 96,205 | |
-1 | -96,205 |
Let's try dividing by 4:
96,205 ÷ 4 = 24,051.25
If the quotient is a whole number, then 4 and 24,051.25 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 | 96,205 | |
-1 | 96,205 |
If you did it right, you will end up with this table:
1 | 5 | 71 | 271 | 355 | 1,355 | 19,241 | 96,205 |
-1 | -5 | -71 | -271 | -355 | -1,355 | -19,241 | -96,205 |
Here are some more numbers to try:
Try the factor calculator