Q: What are the factor combinations of the number 7,208,443?

 A:
Positive:   1 x 720844311 x 65531329 x 24856759 x 122177319 x 22597383 x 18821649 x 111071711 x 4213
Negative: -1 x -7208443-11 x -655313-29 x -248567-59 x -122177-319 x -22597-383 x -18821-649 x -11107-1711 x -4213


How do I find the factor combinations of the number 7,208,443?

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 7,208,443, 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 7,208,443
-1 -7,208,443

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 7,208,443.

Example:
1 x 7,208,443 = 7,208,443
and
-1 x -7,208,443 = 7,208,443
Notice both answers equal 7,208,443

With that explanation out of the way, let's continue. Next, we take the number 7,208,443 and divide it by 2:

7,208,443 ÷ 2 = 3,604,221.5

If the quotient is a whole number, then 2 and 3,604,221.5 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 7,208,443
-1 -7,208,443

Now, we try dividing 7,208,443 by 3:

7,208,443 ÷ 3 = 2,402,814.3333

If the quotient is a whole number, then 3 and 2,402,814.3333 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 7,208,443
-1 -7,208,443

Let's try dividing by 4:

7,208,443 ÷ 4 = 1,802,110.75

If the quotient is a whole number, then 4 and 1,802,110.75 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 7,208,443
-1 7,208,443
Keep dividing by the next highest number until you cannot divide anymore.

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

11129593193836491,7114,21311,10718,82122,597122,177248,567655,3137,208,443
-1-11-29-59-319-383-649-1,711-4,213-11,107-18,821-22,597-122,177-248,567-655,313-7,208,443

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 7,208,443:


Ask a Question