Q: What are the factor combinations of the number 423,131,303?

 A:
Positive:   1 x 4231313037 x 6044732959 x 7171717413 x 1024531547 x 7735491873 x 2259113829 x 11050713111 x 32273
Negative: -1 x -423131303-7 x -60447329-59 x -7171717-413 x -1024531-547 x -773549-1873 x -225911-3829 x -110507-13111 x -32273


How do I find the factor combinations of the number 423,131,303?

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 423,131,303, 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.

1 423,131,303
-1 -423,131,303

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 423,131,303.

Example:
1 x 423,131,303 = 423,131,303
and
-1 x -423,131,303 = 423,131,303
Notice both answers equal 423,131,303

With that explanation out of the way, let's continue. Next, we take the number 423,131,303 and divide it by 2:

423,131,303 ÷ 2 = 211,565,651.5

If the quotient is a whole number, then 2 and 211,565,651.5 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:

1 423,131,303
-1 -423,131,303

Now, we try dividing 423,131,303 by 3:

423,131,303 ÷ 3 = 141,043,767.6667

If the quotient is a whole number, then 3 and 141,043,767.6667 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:

1 423,131,303
-1 -423,131,303

Let's try dividing by 4:

423,131,303 ÷ 4 = 105,782,825.75

If the quotient is a whole number, then 4 and 105,782,825.75 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:

1 423,131,303
-1 423,131,303
Keep dividing by the next highest number until you cannot divide anymore.

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

17594135471,8733,82913,11132,273110,507225,911773,5491,024,5317,171,71760,447,329423,131,303
-1-7-59-413-547-1,873-3,829-13,111-32,273-110,507-225,911-773,549-1,024,531-7,171,717-60,447,329-423,131,303

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 423,131,303:


Ask a Question