Q: What are the factor combinations of the number 722,427,039?

 A:
Positive:   1 x 7224270393 x 2408090139 x 8026967127 x 26756557109 x 6627771327 x 2209257981 x 7364192943 x 245473
Negative: -1 x -722427039-3 x -240809013-9 x -80269671-27 x -26756557-109 x -6627771-327 x -2209257-981 x -736419-2943 x -245473


How do I find the factor combinations of the number 722,427,039?

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 722,427,039, 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.

1 722,427,039
-1 -722,427,039

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 722,427,039.

Example:
1 x 722,427,039 = 722,427,039
and
-1 x -722,427,039 = 722,427,039
Notice both answers equal 722,427,039

With that explanation out of the way, let's continue. Next, we take the number 722,427,039 and divide it by 2:

722,427,039 ÷ 2 = 361,213,519.5

If the quotient is a whole number, then 2 and 361,213,519.5 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:

1 722,427,039
-1 -722,427,039

Now, we try dividing 722,427,039 by 3:

722,427,039 ÷ 3 = 240,809,013

If the quotient is a whole number, then 3 and 240,809,013 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 3 240,809,013 722,427,039
-1 -3 -240,809,013 -722,427,039

Let's try dividing by 4:

722,427,039 ÷ 4 = 180,606,759.75

If the quotient is a whole number, then 4 and 180,606,759.75 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 3 240,809,013 722,427,039
-1 -3 -240,809,013 722,427,039
Keep dividing by the next highest number until you cannot divide anymore.

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

139271093279812,943245,473736,4192,209,2576,627,77126,756,55780,269,671240,809,013722,427,039
-1-3-9-27-109-327-981-2,943-245,473-736,419-2,209,257-6,627,771-26,756,557-80,269,671-240,809,013-722,427,039

More Examples

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