Q: What are the factor combinations of the number 5,836,985?

 A:
Positive:   1 x 58369855 x 11673977 x 83385511 x 53063535 x 16677155 x 10612777 x 75805385 x 15161
Negative: -1 x -5836985-5 x -1167397-7 x -833855-11 x -530635-35 x -166771-55 x -106127-77 x -75805-385 x -15161


How do I find the factor combinations of the number 5,836,985?

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 5,836,985, 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 5,836,985
-1 -5,836,985

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 5,836,985.

Example:
1 x 5,836,985 = 5,836,985
and
-1 x -5,836,985 = 5,836,985
Notice both answers equal 5,836,985

With that explanation out of the way, let's continue. Next, we take the number 5,836,985 and divide it by 2:

5,836,985 ÷ 2 = 2,918,492.5

If the quotient is a whole number, then 2 and 2,918,492.5 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 5,836,985
-1 -5,836,985

Now, we try dividing 5,836,985 by 3:

5,836,985 ÷ 3 = 1,945,661.6667

If the quotient is a whole number, then 3 and 1,945,661.6667 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 5,836,985
-1 -5,836,985

Let's try dividing by 4:

5,836,985 ÷ 4 = 1,459,246.25

If the quotient is a whole number, then 4 and 1,459,246.25 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 5,836,985
-1 5,836,985
Keep dividing by the next highest number until you cannot divide anymore.

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

1571135557738515,16175,805106,127166,771530,635833,8551,167,3975,836,985
-1-5-7-11-35-55-77-385-15,161-75,805-106,127-166,771-530,635-833,855-1,167,397-5,836,985

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