Q: What are the factor combinations of the number 320,112,347?

 A:
Positive:   1 x 32011234747 x 681090159 x 5425633241 x 1328267479 x 6682932773 x 11543911327 x 2826114219 x 22513
Negative: -1 x -320112347-47 x -6810901-59 x -5425633-241 x -1328267-479 x -668293-2773 x -115439-11327 x -28261-14219 x -22513


How do I find the factor combinations of the number 320,112,347?

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 320,112,347, 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.

1 320,112,347
-1 -320,112,347

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 320,112,347.

Example:
1 x 320,112,347 = 320,112,347
and
-1 x -320,112,347 = 320,112,347
Notice both answers equal 320,112,347

With that explanation out of the way, let's continue. Next, we take the number 320,112,347 and divide it by 2:

320,112,347 ÷ 2 = 160,056,173.5

If the quotient is a whole number, then 2 and 160,056,173.5 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:

1 320,112,347
-1 -320,112,347

Now, we try dividing 320,112,347 by 3:

320,112,347 ÷ 3 = 106,704,115.6667

If the quotient is a whole number, then 3 and 106,704,115.6667 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:

1 320,112,347
-1 -320,112,347

Let's try dividing by 4:

320,112,347 ÷ 4 = 80,028,086.75

If the quotient is a whole number, then 4 and 80,028,086.75 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:

1 320,112,347
-1 320,112,347
Keep dividing by the next highest number until you cannot divide anymore.

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

147592414792,77311,32714,21922,51328,261115,439668,2931,328,2675,425,6336,810,901320,112,347
-1-47-59-241-479-2,773-11,327-14,219-22,513-28,261-115,439-668,293-1,328,267-5,425,633-6,810,901-320,112,347

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