Q: What are the factor combinations of the number 513,422,131?

 A:
Positive:   1 x 51342213141 x 125224911019 x 50384912289 x 41779
Negative: -1 x -513422131-41 x -12522491-1019 x -503849-12289 x -41779


How do I find the factor combinations of the number 513,422,131?

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 513,422,131, 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.

1 513,422,131
-1 -513,422,131

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 513,422,131.

Example:
1 x 513,422,131 = 513,422,131
and
-1 x -513,422,131 = 513,422,131
Notice both answers equal 513,422,131

With that explanation out of the way, let's continue. Next, we take the number 513,422,131 and divide it by 2:

513,422,131 ÷ 2 = 256,711,065.5

If the quotient is a whole number, then 2 and 256,711,065.5 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:

1 513,422,131
-1 -513,422,131

Now, we try dividing 513,422,131 by 3:

513,422,131 ÷ 3 = 171,140,710.3333

If the quotient is a whole number, then 3 and 171,140,710.3333 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:

1 513,422,131
-1 -513,422,131

Let's try dividing by 4:

513,422,131 ÷ 4 = 128,355,532.75

If the quotient is a whole number, then 4 and 128,355,532.75 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:

1 513,422,131
-1 513,422,131
Keep dividing by the next highest number until you cannot divide anymore.

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

1411,01912,28941,779503,84912,522,491513,422,131
-1-41-1,019-12,289-41,779-503,849-12,522,491-513,422,131

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 513,422,131:


Ask a Question