Q: What are the factor combinations of the number 99,847?
A:
Positive:
1 x 9984711 x 907729 x 3443313 x 319
Negative:
-1 x -99847-11 x -9077-29 x -3443-313 x -319
A:
Positive:
1 x 9984711 x 907729 x 3443313 x 319
Negative:
-1 x -99847-11 x -9077-29 x -3443-313 x -319
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 99,847, 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 | 99,847 | |
-1 | -99,847 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 99,847.
Example:
1 x 99,847 = 99,847
and
-1 x -99,847 = 99,847
Notice both answers equal 99,847
With that explanation out of the way, let's continue. Next, we take the number 99,847 and divide it by 2:
99,847 ÷ 2 = 49,923.5
If the quotient is a whole number, then 2 and 49,923.5 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 | 99,847 | |
-1 | -99,847 |
Now, we try dividing 99,847 by 3:
99,847 ÷ 3 = 33,282.3333
If the quotient is a whole number, then 3 and 33,282.3333 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 | 99,847 | |
-1 | -99,847 |
Let's try dividing by 4:
99,847 ÷ 4 = 24,961.75
If the quotient is a whole number, then 4 and 24,961.75 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 | 99,847 | |
-1 | 99,847 |
If you did it right, you will end up with this table:
1 | 11 | 29 | 313 | 319 | 3,443 | 9,077 | 99,847 |
-1 | -11 | -29 | -313 | -319 | -3,443 | -9,077 | -99,847 |
Here are some more numbers to try:
Try the factor calculator