Q: What are the factor combinations of the number 738,211,793?

 A:
Positive:   1 x 73821179311 x 67110163199 x 3709607563 x 1311211599 x 12324072189 x 3372376193 x 1192016589 x 112037
Negative: -1 x -738211793-11 x -67110163-199 x -3709607-563 x -1311211-599 x -1232407-2189 x -337237-6193 x -119201-6589 x -112037


How do I find the factor combinations of the number 738,211,793?

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 738,211,793, 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.

1 738,211,793
-1 -738,211,793

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 738,211,793.

Example:
1 x 738,211,793 = 738,211,793
and
-1 x -738,211,793 = 738,211,793
Notice both answers equal 738,211,793

With that explanation out of the way, let's continue. Next, we take the number 738,211,793 and divide it by 2:

738,211,793 ÷ 2 = 369,105,896.5

If the quotient is a whole number, then 2 and 369,105,896.5 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:

1 738,211,793
-1 -738,211,793

Now, we try dividing 738,211,793 by 3:

738,211,793 ÷ 3 = 246,070,597.6667

If the quotient is a whole number, then 3 and 246,070,597.6667 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:

1 738,211,793
-1 -738,211,793

Let's try dividing by 4:

738,211,793 ÷ 4 = 184,552,948.25

If the quotient is a whole number, then 4 and 184,552,948.25 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:

1 738,211,793
-1 738,211,793
Keep dividing by the next highest number until you cannot divide anymore.

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

1111995635992,1896,1936,589112,037119,201337,2371,232,4071,311,2113,709,60767,110,163738,211,793
-1-11-199-563-599-2,189-6,193-6,589-112,037-119,201-337,237-1,232,407-1,311,211-3,709,607-67,110,163-738,211,793

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