Q: What are the factor combinations of the number 443,002,231?

 A:
Positive:   1 x 4430022317 x 6328603329 x 15275939203 x 21822771289 x 3436791693 x 2616679023 x 4909711851 x 37381
Negative: -1 x -443002231-7 x -63286033-29 x -15275939-203 x -2182277-1289 x -343679-1693 x -261667-9023 x -49097-11851 x -37381


How do I find the factor combinations of the number 443,002,231?

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 443,002,231, 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.

1 443,002,231
-1 -443,002,231

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 443,002,231.

Example:
1 x 443,002,231 = 443,002,231
and
-1 x -443,002,231 = 443,002,231
Notice both answers equal 443,002,231

With that explanation out of the way, let's continue. Next, we take the number 443,002,231 and divide it by 2:

443,002,231 ÷ 2 = 221,501,115.5

If the quotient is a whole number, then 2 and 221,501,115.5 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:

1 443,002,231
-1 -443,002,231

Now, we try dividing 443,002,231 by 3:

443,002,231 ÷ 3 = 147,667,410.3333

If the quotient is a whole number, then 3 and 147,667,410.3333 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:

1 443,002,231
-1 -443,002,231

Let's try dividing by 4:

443,002,231 ÷ 4 = 110,750,557.75

If the quotient is a whole number, then 4 and 110,750,557.75 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:

1 443,002,231
-1 443,002,231
Keep dividing by the next highest number until you cannot divide anymore.

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

17292031,2891,6939,02311,85137,38149,097261,667343,6792,182,27715,275,93963,286,033443,002,231
-1-7-29-203-1,289-1,693-9,023-11,851-37,381-49,097-261,667-343,679-2,182,277-15,275,939-63,286,033-443,002,231

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