Q: What are the factor combinations of the number 331,053,023?

 A:
Positive:   1 x 3310530237 x 4729328937 x 8947379259 x 1278197
Negative: -1 x -331053023-7 x -47293289-37 x -8947379-259 x -1278197


How do I find the factor combinations of the number 331,053,023?

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 331,053,023, 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.

1 331,053,023
-1 -331,053,023

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 331,053,023.

Example:
1 x 331,053,023 = 331,053,023
and
-1 x -331,053,023 = 331,053,023
Notice both answers equal 331,053,023

With that explanation out of the way, let's continue. Next, we take the number 331,053,023 and divide it by 2:

331,053,023 ÷ 2 = 165,526,511.5

If the quotient is a whole number, then 2 and 165,526,511.5 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:

1 331,053,023
-1 -331,053,023

Now, we try dividing 331,053,023 by 3:

331,053,023 ÷ 3 = 110,351,007.6667

If the quotient is a whole number, then 3 and 110,351,007.6667 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:

1 331,053,023
-1 -331,053,023

Let's try dividing by 4:

331,053,023 ÷ 4 = 82,763,255.75

If the quotient is a whole number, then 4 and 82,763,255.75 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:

1 331,053,023
-1 331,053,023
Keep dividing by the next highest number until you cannot divide anymore.

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

17372591,278,1978,947,37947,293,289331,053,023
-1-7-37-259-1,278,197-8,947,379-47,293,289-331,053,023

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 331,053,023:


Ask a Question