Q: What are the factor combinations of the number 40,843?
A:
Positive:
1 x 4084311 x 371347 x 86979 x 517
Negative:
-1 x -40843-11 x -3713-47 x -869-79 x -517
A:
Positive:
1 x 4084311 x 371347 x 86979 x 517
Negative:
-1 x -40843-11 x -3713-47 x -869-79 x -517
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 40,843, 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 | 40,843 | |
-1 | -40,843 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 40,843.
Example:
1 x 40,843 = 40,843
and
-1 x -40,843 = 40,843
Notice both answers equal 40,843
With that explanation out of the way, let's continue. Next, we take the number 40,843 and divide it by 2:
40,843 ÷ 2 = 20,421.5
If the quotient is a whole number, then 2 and 20,421.5 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 | 40,843 | |
-1 | -40,843 |
Now, we try dividing 40,843 by 3:
40,843 ÷ 3 = 13,614.3333
If the quotient is a whole number, then 3 and 13,614.3333 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 | 40,843 | |
-1 | -40,843 |
Let's try dividing by 4:
40,843 ÷ 4 = 10,210.75
If the quotient is a whole number, then 4 and 10,210.75 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 | 40,843 | |
-1 | 40,843 |
If you did it right, you will end up with this table:
1 | 11 | 47 | 79 | 517 | 869 | 3,713 | 40,843 |
-1 | -11 | -47 | -79 | -517 | -869 | -3,713 | -40,843 |
Here are some more numbers to try:
Try the factor calculator