Q: What are the factor combinations of the number 6,740,423?

 A:
Positive:   1 x 674042331 x 217433103 x 654412111 x 3193
Negative: -1 x -6740423-31 x -217433-103 x -65441-2111 x -3193


How do I find the factor combinations of the number 6,740,423?

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 6,740,423, 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 6,740,423
-1 -6,740,423

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 6,740,423.

Example:
1 x 6,740,423 = 6,740,423
and
-1 x -6,740,423 = 6,740,423
Notice both answers equal 6,740,423

With that explanation out of the way, let's continue. Next, we take the number 6,740,423 and divide it by 2:

6,740,423 ÷ 2 = 3,370,211.5

If the quotient is a whole number, then 2 and 3,370,211.5 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 6,740,423
-1 -6,740,423

Now, we try dividing 6,740,423 by 3:

6,740,423 ÷ 3 = 2,246,807.6667

If the quotient is a whole number, then 3 and 2,246,807.6667 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 6,740,423
-1 -6,740,423

Let's try dividing by 4:

6,740,423 ÷ 4 = 1,685,105.75

If the quotient is a whole number, then 4 and 1,685,105.75 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 6,740,423
-1 6,740,423
Keep dividing by the next highest number until you cannot divide anymore.

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

1311032,1113,19365,441217,4336,740,423
-1-31-103-2,111-3,193-65,441-217,433-6,740,423

More Examples

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