Q: What are the factor combinations of the number 423,551,029?

 A:
Positive:   1 x 42355102911 x 3850463959 x 7178831649 x 652621
Negative: -1 x -423551029-11 x -38504639-59 x -7178831-649 x -652621


How do I find the factor combinations of the number 423,551,029?

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 423,551,029, 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.

1 423,551,029
-1 -423,551,029

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 423,551,029.

Example:
1 x 423,551,029 = 423,551,029
and
-1 x -423,551,029 = 423,551,029
Notice both answers equal 423,551,029

With that explanation out of the way, let's continue. Next, we take the number 423,551,029 and divide it by 2:

423,551,029 ÷ 2 = 211,775,514.5

If the quotient is a whole number, then 2 and 211,775,514.5 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:

1 423,551,029
-1 -423,551,029

Now, we try dividing 423,551,029 by 3:

423,551,029 ÷ 3 = 141,183,676.3333

If the quotient is a whole number, then 3 and 141,183,676.3333 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:

1 423,551,029
-1 -423,551,029

Let's try dividing by 4:

423,551,029 ÷ 4 = 105,887,757.25

If the quotient is a whole number, then 4 and 105,887,757.25 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:

1 423,551,029
-1 423,551,029
Keep dividing by the next highest number until you cannot divide anymore.

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

11159649652,6217,178,83138,504,639423,551,029
-1-11-59-649-652,621-7,178,831-38,504,639-423,551,029

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 423,551,029:


Ask a Question