Q: What are the factor combinations of the number 940,771?
A:
Positive:
1 x 94077113 x 72367
Negative:
-1 x -940771-13 x -72367
A:
Positive:
1 x 94077113 x 72367
Negative:
-1 x -940771-13 x -72367
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 940,771, 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 | 940,771 | |
-1 | -940,771 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 940,771.
Example:
1 x 940,771 = 940,771
and
-1 x -940,771 = 940,771
Notice both answers equal 940,771
With that explanation out of the way, let's continue. Next, we take the number 940,771 and divide it by 2:
940,771 ÷ 2 = 470,385.5
If the quotient is a whole number, then 2 and 470,385.5 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 | 940,771 | |
-1 | -940,771 |
Now, we try dividing 940,771 by 3:
940,771 ÷ 3 = 313,590.3333
If the quotient is a whole number, then 3 and 313,590.3333 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 | 940,771 | |
-1 | -940,771 |
Let's try dividing by 4:
940,771 ÷ 4 = 235,192.75
If the quotient is a whole number, then 4 and 235,192.75 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 | 940,771 | |
-1 | 940,771 |
If you did it right, you will end up with this table:
1 | 13 | 72,367 | 940,771 |
-1 | -13 | -72,367 | -940,771 |
Here are some more numbers to try:
Try the factor calculator