Q: What are the factor combinations of the number 331,203,113?

 A:
Positive:   1 x 33120311329 x 11420797113 x 2931001211 x 1569683479 x 6914473277 x 1010696119 x 5412713891 x 23843
Negative: -1 x -331203113-29 x -11420797-113 x -2931001-211 x -1569683-479 x -691447-3277 x -101069-6119 x -54127-13891 x -23843


How do I find the factor combinations of the number 331,203,113?

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 331,203,113, 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.

1 331,203,113
-1 -331,203,113

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 331,203,113.

Example:
1 x 331,203,113 = 331,203,113
and
-1 x -331,203,113 = 331,203,113
Notice both answers equal 331,203,113

With that explanation out of the way, let's continue. Next, we take the number 331,203,113 and divide it by 2:

331,203,113 ÷ 2 = 165,601,556.5

If the quotient is a whole number, then 2 and 165,601,556.5 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:

1 331,203,113
-1 -331,203,113

Now, we try dividing 331,203,113 by 3:

331,203,113 ÷ 3 = 110,401,037.6667

If the quotient is a whole number, then 3 and 110,401,037.6667 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:

1 331,203,113
-1 -331,203,113

Let's try dividing by 4:

331,203,113 ÷ 4 = 82,800,778.25

If the quotient is a whole number, then 4 and 82,800,778.25 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:

1 331,203,113
-1 331,203,113
Keep dividing by the next highest number until you cannot divide anymore.

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

1291132114793,2776,11913,89123,84354,127101,069691,4471,569,6832,931,00111,420,797331,203,113
-1-29-113-211-479-3,277-6,119-13,891-23,843-54,127-101,069-691,447-1,569,683-2,931,001-11,420,797-331,203,113

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