Q: What are the factor combinations of the number 433,311,131?

 A:
Positive:   1 x 43331113111 x 3939192119 x 22805849209 x 20732591279 x 3387891621 x 26731114069 x 3079917831 x 24301
Negative: -1 x -433311131-11 x -39391921-19 x -22805849-209 x -2073259-1279 x -338789-1621 x -267311-14069 x -30799-17831 x -24301


How do I find the factor combinations of the number 433,311,131?

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 433,311,131, 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.

1 433,311,131
-1 -433,311,131

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 433,311,131.

Example:
1 x 433,311,131 = 433,311,131
and
-1 x -433,311,131 = 433,311,131
Notice both answers equal 433,311,131

With that explanation out of the way, let's continue. Next, we take the number 433,311,131 and divide it by 2:

433,311,131 ÷ 2 = 216,655,565.5

If the quotient is a whole number, then 2 and 216,655,565.5 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:

1 433,311,131
-1 -433,311,131

Now, we try dividing 433,311,131 by 3:

433,311,131 ÷ 3 = 144,437,043.6667

If the quotient is a whole number, then 3 and 144,437,043.6667 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:

1 433,311,131
-1 -433,311,131

Let's try dividing by 4:

433,311,131 ÷ 4 = 108,327,782.75

If the quotient is a whole number, then 4 and 108,327,782.75 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:

1 433,311,131
-1 433,311,131
Keep dividing by the next highest number until you cannot divide anymore.

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

111192091,2791,62114,06917,83124,30130,799267,311338,7892,073,25922,805,84939,391,921433,311,131
-1-11-19-209-1,279-1,621-14,069-17,831-24,301-30,799-267,311-338,789-2,073,259-22,805,849-39,391,921-433,311,131

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