Q: What are the factor combinations of the number 5,836,709?
A:
Positive:
1 x 583670989 x 65581
Negative:
-1 x -5836709-89 x -65581
A:
Positive:
1 x 583670989 x 65581
Negative:
-1 x -5836709-89 x -65581
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 5,836,709, 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 | 5,836,709 | |
-1 | -5,836,709 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 5,836,709.
Example:
1 x 5,836,709 = 5,836,709
and
-1 x -5,836,709 = 5,836,709
Notice both answers equal 5,836,709
With that explanation out of the way, let's continue. Next, we take the number 5,836,709 and divide it by 2:
5,836,709 ÷ 2 = 2,918,354.5
If the quotient is a whole number, then 2 and 2,918,354.5 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 | 5,836,709 | |
-1 | -5,836,709 |
Now, we try dividing 5,836,709 by 3:
5,836,709 ÷ 3 = 1,945,569.6667
If the quotient is a whole number, then 3 and 1,945,569.6667 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 | 5,836,709 | |
-1 | -5,836,709 |
Let's try dividing by 4:
5,836,709 ÷ 4 = 1,459,177.25
If the quotient is a whole number, then 4 and 1,459,177.25 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 | 5,836,709 | |
-1 | 5,836,709 |
If you did it right, you will end up with this table:
1 | 89 | 65,581 | 5,836,709 |
-1 | -89 | -65,581 | -5,836,709 |
Here are some more numbers to try:
Try the factor calculator