Q: What are the factor combinations of the number 43,589?
A:
Positive:
1 x 435897 x 622713 x 335391 x 479
Negative:
-1 x -43589-7 x -6227-13 x -3353-91 x -479
A:
Positive:
1 x 435897 x 622713 x 335391 x 479
Negative:
-1 x -43589-7 x -6227-13 x -3353-91 x -479
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 43,589, 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 | 43,589 | |
-1 | -43,589 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 43,589.
Example:
1 x 43,589 = 43,589
and
-1 x -43,589 = 43,589
Notice both answers equal 43,589
With that explanation out of the way, let's continue. Next, we take the number 43,589 and divide it by 2:
43,589 ÷ 2 = 21,794.5
If the quotient is a whole number, then 2 and 21,794.5 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 | 43,589 | |
-1 | -43,589 |
Now, we try dividing 43,589 by 3:
43,589 ÷ 3 = 14,529.6667
If the quotient is a whole number, then 3 and 14,529.6667 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 | 43,589 | |
-1 | -43,589 |
Let's try dividing by 4:
43,589 ÷ 4 = 10,897.25
If the quotient is a whole number, then 4 and 10,897.25 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 | 43,589 | |
-1 | 43,589 |
If you did it right, you will end up with this table:
1 | 7 | 13 | 91 | 479 | 3,353 | 6,227 | 43,589 |
-1 | -7 | -13 | -91 | -479 | -3,353 | -6,227 | -43,589 |
Here are some more numbers to try:
Try the factor calculator