Q: What are the factor combinations of the number 721,799?

 A:
Positive:   1 x 72179913 x 55523169 x 4271
Negative: -1 x -721799-13 x -55523-169 x -4271


How do I find the factor combinations of the number 721,799?

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 721,799, 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.

1 721,799
-1 -721,799

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 721,799.

Example:
1 x 721,799 = 721,799
and
-1 x -721,799 = 721,799
Notice both answers equal 721,799

With that explanation out of the way, let's continue. Next, we take the number 721,799 and divide it by 2:

721,799 ÷ 2 = 360,899.5

If the quotient is a whole number, then 2 and 360,899.5 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:

1 721,799
-1 -721,799

Now, we try dividing 721,799 by 3:

721,799 ÷ 3 = 240,599.6667

If the quotient is a whole number, then 3 and 240,599.6667 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:

1 721,799
-1 -721,799

Let's try dividing by 4:

721,799 ÷ 4 = 180,449.75

If the quotient is a whole number, then 4 and 180,449.75 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:

1 721,799
-1 721,799
Keep dividing by the next highest number until you cannot divide anymore.

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

1131694,27155,523721,799
-1-13-169-4,271-55,523-721,799

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 721,799:


Ask a Question