Q: What are the factor combinations of the number 5,836,789?

 A:
Positive:   1 x 58367897 x 83382747 x 124187113 x 51653157 x 37177329 x 17741791 x 73791099 x 5311
Negative: -1 x -5836789-7 x -833827-47 x -124187-113 x -51653-157 x -37177-329 x -17741-791 x -7379-1099 x -5311


How do I find the factor combinations of the number 5,836,789?

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 5,836,789, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

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 5,836,789
-1 -5,836,789

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 5,836,789.

Example:
1 x 5,836,789 = 5,836,789
and
-1 x -5,836,789 = 5,836,789
Notice both answers equal 5,836,789

With that explanation out of the way, let's continue. Next, we take the number 5,836,789 and divide it by 2:

5,836,789 ÷ 2 = 2,918,394.5

If the quotient is a whole number, then 2 and 2,918,394.5 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 5,836,789
-1 -5,836,789

Now, we try dividing 5,836,789 by 3:

5,836,789 ÷ 3 = 1,945,596.3333

If the quotient is a whole number, then 3 and 1,945,596.3333 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 5,836,789
-1 -5,836,789

Let's try dividing by 4:

5,836,789 ÷ 4 = 1,459,197.25

If the quotient is a whole number, then 4 and 1,459,197.25 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 5,836,789
-1 5,836,789
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

17471131573297911,0995,3117,37917,74137,17751,653124,187833,8275,836,789
-1-7-47-113-157-329-791-1,099-5,311-7,379-17,741-37,177-51,653-124,187-833,827-5,836,789

More Examples

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