Q: What are the factor combinations of the number 513,233,633?

 A:
Positive:   1 x 51323363311 x 46657603179 x 2867227277 x 1852829941 x 5454131969 x 2606573047 x 16843910351 x 49583
Negative: -1 x -513233633-11 x -46657603-179 x -2867227-277 x -1852829-941 x -545413-1969 x -260657-3047 x -168439-10351 x -49583


How do I find the factor combinations of the number 513,233,633?

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 513,233,633, 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.

1 513,233,633
-1 -513,233,633

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 513,233,633.

Example:
1 x 513,233,633 = 513,233,633
and
-1 x -513,233,633 = 513,233,633
Notice both answers equal 513,233,633

With that explanation out of the way, let's continue. Next, we take the number 513,233,633 and divide it by 2:

513,233,633 ÷ 2 = 256,616,816.5

If the quotient is a whole number, then 2 and 256,616,816.5 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:

1 513,233,633
-1 -513,233,633

Now, we try dividing 513,233,633 by 3:

513,233,633 ÷ 3 = 171,077,877.6667

If the quotient is a whole number, then 3 and 171,077,877.6667 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:

1 513,233,633
-1 -513,233,633

Let's try dividing by 4:

513,233,633 ÷ 4 = 128,308,408.25

If the quotient is a whole number, then 4 and 128,308,408.25 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:

1 513,233,633
-1 513,233,633
Keep dividing by the next highest number until you cannot divide anymore.

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

1111792779411,9693,04710,35149,583168,439260,657545,4131,852,8292,867,22746,657,603513,233,633
-1-11-179-277-941-1,969-3,047-10,351-49,583-168,439-260,657-545,413-1,852,829-2,867,227-46,657,603-513,233,633

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 513,233,633:


Ask a Question