Q: What are the factor combinations of the number 36,850,927?

 A:
Positive:   1 x 3685092737 x 995971619 x 595331609 x 22903
Negative: -1 x -36850927-37 x -995971-619 x -59533-1609 x -22903


How do I find the factor combinations of the number 36,850,927?

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 36,850,927, 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 36,850,927
-1 -36,850,927

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 36,850,927.

Example:
1 x 36,850,927 = 36,850,927
and
-1 x -36,850,927 = 36,850,927
Notice both answers equal 36,850,927

With that explanation out of the way, let's continue. Next, we take the number 36,850,927 and divide it by 2:

36,850,927 ÷ 2 = 18,425,463.5

If the quotient is a whole number, then 2 and 18,425,463.5 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 36,850,927
-1 -36,850,927

Now, we try dividing 36,850,927 by 3:

36,850,927 ÷ 3 = 12,283,642.3333

If the quotient is a whole number, then 3 and 12,283,642.3333 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 36,850,927
-1 -36,850,927

Let's try dividing by 4:

36,850,927 ÷ 4 = 9,212,731.75

If the quotient is a whole number, then 4 and 9,212,731.75 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 36,850,927
-1 36,850,927
Keep dividing by the next highest number until you cannot divide anymore.

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

1376191,60922,90359,533995,97136,850,927
-1-37-619-1,609-22,903-59,533-995,971-36,850,927

More Examples

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