Q: What are the factor combinations of the number 563,014,133?

 A:
Positive:   1 x 56301413311 x 51183103229 x 24585772519 x 223507
Negative: -1 x -563014133-11 x -51183103-229 x -2458577-2519 x -223507


How do I find the factor combinations of the number 563,014,133?

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 563,014,133, 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.

1 563,014,133
-1 -563,014,133

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 563,014,133.

Example:
1 x 563,014,133 = 563,014,133
and
-1 x -563,014,133 = 563,014,133
Notice both answers equal 563,014,133

With that explanation out of the way, let's continue. Next, we take the number 563,014,133 and divide it by 2:

563,014,133 ÷ 2 = 281,507,066.5

If the quotient is a whole number, then 2 and 281,507,066.5 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:

1 563,014,133
-1 -563,014,133

Now, we try dividing 563,014,133 by 3:

563,014,133 ÷ 3 = 187,671,377.6667

If the quotient is a whole number, then 3 and 187,671,377.6667 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:

1 563,014,133
-1 -563,014,133

Let's try dividing by 4:

563,014,133 ÷ 4 = 140,753,533.25

If the quotient is a whole number, then 4 and 140,753,533.25 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:

1 563,014,133
-1 563,014,133
Keep dividing by the next highest number until you cannot divide anymore.

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

1112292,519223,5072,458,57751,183,103563,014,133
-1-11-229-2,519-223,507-2,458,577-51,183,103-563,014,133

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 563,014,133:


Ask a Question