Q: What are the factor combinations of the number 738,338,065?

 A:
Positive:   1 x 7383380655 x 14766761323 x 32101655115 x 64203312161 x 3416652971 x 24851510805 x 6833314855 x 49703
Negative: -1 x -738338065-5 x -147667613-23 x -32101655-115 x -6420331-2161 x -341665-2971 x -248515-10805 x -68333-14855 x -49703


How do I find the factor combinations of the number 738,338,065?

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 738,338,065, 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.

1 738,338,065
-1 -738,338,065

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 738,338,065.

Example:
1 x 738,338,065 = 738,338,065
and
-1 x -738,338,065 = 738,338,065
Notice both answers equal 738,338,065

With that explanation out of the way, let's continue. Next, we take the number 738,338,065 and divide it by 2:

738,338,065 ÷ 2 = 369,169,032.5

If the quotient is a whole number, then 2 and 369,169,032.5 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:

1 738,338,065
-1 -738,338,065

Now, we try dividing 738,338,065 by 3:

738,338,065 ÷ 3 = 246,112,688.3333

If the quotient is a whole number, then 3 and 246,112,688.3333 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:

1 738,338,065
-1 -738,338,065

Let's try dividing by 4:

738,338,065 ÷ 4 = 184,584,516.25

If the quotient is a whole number, then 4 and 184,584,516.25 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:

1 738,338,065
-1 738,338,065
Keep dividing by the next highest number until you cannot divide anymore.

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

15231152,1612,97110,80514,85549,70368,333248,515341,6656,420,33132,101,655147,667,613738,338,065
-1-5-23-115-2,161-2,971-10,805-14,855-49,703-68,333-248,515-341,665-6,420,331-32,101,655-147,667,613-738,338,065

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