Q: What are the factor combinations of the number 6,922,939?

 A:
Positive:   1 x 6922939103 x 67213
Negative: -1 x -6922939-103 x -67213


How do I find the factor combinations of the number 6,922,939?

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 6,922,939, 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 6,922,939
-1 -6,922,939

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 6,922,939.

Example:
1 x 6,922,939 = 6,922,939
and
-1 x -6,922,939 = 6,922,939
Notice both answers equal 6,922,939

With that explanation out of the way, let's continue. Next, we take the number 6,922,939 and divide it by 2:

6,922,939 ÷ 2 = 3,461,469.5

If the quotient is a whole number, then 2 and 3,461,469.5 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 6,922,939
-1 -6,922,939

Now, we try dividing 6,922,939 by 3:

6,922,939 ÷ 3 = 2,307,646.3333

If the quotient is a whole number, then 3 and 2,307,646.3333 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 6,922,939
-1 -6,922,939

Let's try dividing by 4:

6,922,939 ÷ 4 = 1,730,734.75

If the quotient is a whole number, then 4 and 1,730,734.75 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 6,922,939
-1 6,922,939
Keep dividing by the next highest number until you cannot divide anymore.

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

110367,2136,922,939
-1-103-67,213-6,922,939

More Examples

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