Q: What are the factor combinations of the number 848,951?
A:
Positive:
1 x 84895159 x 14389
Negative:
-1 x -848951-59 x -14389
A:
Positive:
1 x 84895159 x 14389
Negative:
-1 x -848951-59 x -14389
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 848,951, 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 | 848,951 | |
-1 | -848,951 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 848,951.
Example:
1 x 848,951 = 848,951
and
-1 x -848,951 = 848,951
Notice both answers equal 848,951
With that explanation out of the way, let's continue. Next, we take the number 848,951 and divide it by 2:
848,951 ÷ 2 = 424,475.5
If the quotient is a whole number, then 2 and 424,475.5 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 | 848,951 | |
-1 | -848,951 |
Now, we try dividing 848,951 by 3:
848,951 ÷ 3 = 282,983.6667
If the quotient is a whole number, then 3 and 282,983.6667 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 | 848,951 | |
-1 | -848,951 |
Let's try dividing by 4:
848,951 ÷ 4 = 212,237.75
If the quotient is a whole number, then 4 and 212,237.75 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 | 848,951 | |
-1 | 848,951 |
If you did it right, you will end up with this table:
1 | 59 | 14,389 | 848,951 |
-1 | -59 | -14,389 | -848,951 |
Here are some more numbers to try:
Try the factor calculator