Q: What are the factor combinations of the number 13,490,927?

 A:
Positive:   1 x 1349092741 x 32904747 x 2870411927 x 7001
Negative: -1 x -13490927-41 x -329047-47 x -287041-1927 x -7001


How do I find the factor combinations of the number 13,490,927?

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 13,490,927, 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 13,490,927
-1 -13,490,927

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 13,490,927.

Example:
1 x 13,490,927 = 13,490,927
and
-1 x -13,490,927 = 13,490,927
Notice both answers equal 13,490,927

With that explanation out of the way, let's continue. Next, we take the number 13,490,927 and divide it by 2:

13,490,927 ÷ 2 = 6,745,463.5

If the quotient is a whole number, then 2 and 6,745,463.5 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 13,490,927
-1 -13,490,927

Now, we try dividing 13,490,927 by 3:

13,490,927 ÷ 3 = 4,496,975.6667

If the quotient is a whole number, then 3 and 4,496,975.6667 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 13,490,927
-1 -13,490,927

Let's try dividing by 4:

13,490,927 ÷ 4 = 3,372,731.75

If the quotient is a whole number, then 4 and 3,372,731.75 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 13,490,927
-1 13,490,927
Keep dividing by the next highest number until you cannot divide anymore.

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

141471,9277,001287,041329,04713,490,927
-1-41-47-1,927-7,001-287,041-329,047-13,490,927

More Examples

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