Q: What are the factor combinations of the number 95,849?
A:
Positive:
1 x 9584913 x 737373 x 1313101 x 949
Negative:
-1 x -95849-13 x -7373-73 x -1313-101 x -949
A:
Positive:
1 x 9584913 x 737373 x 1313101 x 949
Negative:
-1 x -95849-13 x -7373-73 x -1313-101 x -949
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 95,849, 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 | 95,849 | |
-1 | -95,849 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 95,849.
Example:
1 x 95,849 = 95,849
and
-1 x -95,849 = 95,849
Notice both answers equal 95,849
With that explanation out of the way, let's continue. Next, we take the number 95,849 and divide it by 2:
95,849 ÷ 2 = 47,924.5
If the quotient is a whole number, then 2 and 47,924.5 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 | 95,849 | |
-1 | -95,849 |
Now, we try dividing 95,849 by 3:
95,849 ÷ 3 = 31,949.6667
If the quotient is a whole number, then 3 and 31,949.6667 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 | 95,849 | |
-1 | -95,849 |
Let's try dividing by 4:
95,849 ÷ 4 = 23,962.25
If the quotient is a whole number, then 4 and 23,962.25 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 | 95,849 | |
-1 | 95,849 |
If you did it right, you will end up with this table:
1 | 13 | 73 | 101 | 949 | 1,313 | 7,373 | 95,849 |
-1 | -13 | -73 | -101 | -949 | -1,313 | -7,373 | -95,849 |
Here are some more numbers to try:
Try the factor calculator