Q: What are the factor combinations of the number 443,031,433?

 A:
Positive:   1 x 44303143313 x 34079341151 x 2933983269 x 1646957839 x 5280471963 x 2256913497 x 12668910907 x 40619
Negative: -1 x -443031433-13 x -34079341-151 x -2933983-269 x -1646957-839 x -528047-1963 x -225691-3497 x -126689-10907 x -40619


How do I find the factor combinations of the number 443,031,433?

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 443,031,433, 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.

1 443,031,433
-1 -443,031,433

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 443,031,433.

Example:
1 x 443,031,433 = 443,031,433
and
-1 x -443,031,433 = 443,031,433
Notice both answers equal 443,031,433

With that explanation out of the way, let's continue. Next, we take the number 443,031,433 and divide it by 2:

443,031,433 ÷ 2 = 221,515,716.5

If the quotient is a whole number, then 2 and 221,515,716.5 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:

1 443,031,433
-1 -443,031,433

Now, we try dividing 443,031,433 by 3:

443,031,433 ÷ 3 = 147,677,144.3333

If the quotient is a whole number, then 3 and 147,677,144.3333 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:

1 443,031,433
-1 -443,031,433

Let's try dividing by 4:

443,031,433 ÷ 4 = 110,757,858.25

If the quotient is a whole number, then 4 and 110,757,858.25 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:

1 443,031,433
-1 443,031,433
Keep dividing by the next highest number until you cannot divide anymore.

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

1131512698391,9633,49710,90740,619126,689225,691528,0471,646,9572,933,98334,079,341443,031,433
-1-13-151-269-839-1,963-3,497-10,907-40,619-126,689-225,691-528,047-1,646,957-2,933,983-34,079,341-443,031,433

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