Q: What are the factor combinations of the number 533,322,559?

 A:
Positive:   1 x 5333225597 x 7618893711 x 4848386977 x 692626783 x 6425573581 x 917939913 x 5841436391 x 83449
Negative: -1 x -533322559-7 x -76188937-11 x -48483869-77 x -6926267-83 x -6425573-581 x -917939-913 x -584143-6391 x -83449


How do I find the factor combinations of the number 533,322,559?

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 533,322,559, 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.

1 533,322,559
-1 -533,322,559

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 533,322,559.

Example:
1 x 533,322,559 = 533,322,559
and
-1 x -533,322,559 = 533,322,559
Notice both answers equal 533,322,559

With that explanation out of the way, let's continue. Next, we take the number 533,322,559 and divide it by 2:

533,322,559 ÷ 2 = 266,661,279.5

If the quotient is a whole number, then 2 and 266,661,279.5 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:

1 533,322,559
-1 -533,322,559

Now, we try dividing 533,322,559 by 3:

533,322,559 ÷ 3 = 177,774,186.3333

If the quotient is a whole number, then 3 and 177,774,186.3333 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:

1 533,322,559
-1 -533,322,559

Let's try dividing by 4:

533,322,559 ÷ 4 = 133,330,639.75

If the quotient is a whole number, then 4 and 133,330,639.75 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:

1 533,322,559
-1 533,322,559
Keep dividing by the next highest number until you cannot divide anymore.

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

171177835819136,39183,449584,143917,9396,425,5736,926,26748,483,86976,188,937533,322,559
-1-7-11-77-83-581-913-6,391-83,449-584,143-917,939-6,425,573-6,926,267-48,483,869-76,188,937-533,322,559

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 533,322,559:


Ask a Question