Q: What are the factor combinations of the number 6,722,443?

 A:
Positive:   1 x 67224437 x 96034913 x 51711131 x 21685391 x 73873217 x 30979403 x 166812383 x 2821
Negative: -1 x -6722443-7 x -960349-13 x -517111-31 x -216853-91 x -73873-217 x -30979-403 x -16681-2383 x -2821


How do I find the factor combinations of the number 6,722,443?

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 6,722,443, 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 6,722,443
-1 -6,722,443

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 6,722,443.

Example:
1 x 6,722,443 = 6,722,443
and
-1 x -6,722,443 = 6,722,443
Notice both answers equal 6,722,443

With that explanation out of the way, let's continue. Next, we take the number 6,722,443 and divide it by 2:

6,722,443 ÷ 2 = 3,361,221.5

If the quotient is a whole number, then 2 and 3,361,221.5 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 6,722,443
-1 -6,722,443

Now, we try dividing 6,722,443 by 3:

6,722,443 ÷ 3 = 2,240,814.3333

If the quotient is a whole number, then 3 and 2,240,814.3333 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 6,722,443
-1 -6,722,443

Let's try dividing by 4:

6,722,443 ÷ 4 = 1,680,610.75

If the quotient is a whole number, then 4 and 1,680,610.75 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 6,722,443
-1 6,722,443
Keep dividing by the next highest number until you cannot divide anymore.

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

171331912174032,3832,82116,68130,97973,873216,853517,111960,3496,722,443
-1-7-13-31-91-217-403-2,383-2,821-16,681-30,979-73,873-216,853-517,111-960,349-6,722,443

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 6,722,443:


Ask a Question