Q: What are the factor combinations of the number 841,907?
A:
Positive:
1 x 84190711 x 76537
Negative:
-1 x -841907-11 x -76537
A:
Positive:
1 x 84190711 x 76537
Negative:
-1 x -841907-11 x -76537
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 841,907, 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 | 841,907 | |
-1 | -841,907 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 841,907.
Example:
1 x 841,907 = 841,907
and
-1 x -841,907 = 841,907
Notice both answers equal 841,907
With that explanation out of the way, let's continue. Next, we take the number 841,907 and divide it by 2:
841,907 ÷ 2 = 420,953.5
If the quotient is a whole number, then 2 and 420,953.5 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 | 841,907 | |
-1 | -841,907 |
Now, we try dividing 841,907 by 3:
841,907 ÷ 3 = 280,635.6667
If the quotient is a whole number, then 3 and 280,635.6667 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 | 841,907 | |
-1 | -841,907 |
Let's try dividing by 4:
841,907 ÷ 4 = 210,476.75
If the quotient is a whole number, then 4 and 210,476.75 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 | 841,907 | |
-1 | 841,907 |
If you did it right, you will end up with this table:
1 | 11 | 76,537 | 841,907 |
-1 | -11 | -76,537 | -841,907 |
Here are some more numbers to try:
Try the factor calculator