Q: What are the factor combinations of the number 533,721,425?

 A:
Positive:   1 x 5337214255 x 10674428525 x 2134885747 x 11355775235 x 22711551175 x 454231
Negative: -1 x -533721425-5 x -106744285-25 x -21348857-47 x -11355775-235 x -2271155-1175 x -454231


How do I find the factor combinations of the number 533,721,425?

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 533,721,425, 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.

1 533,721,425
-1 -533,721,425

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 533,721,425.

Example:
1 x 533,721,425 = 533,721,425
and
-1 x -533,721,425 = 533,721,425
Notice both answers equal 533,721,425

With that explanation out of the way, let's continue. Next, we take the number 533,721,425 and divide it by 2:

533,721,425 ÷ 2 = 266,860,712.5

If the quotient is a whole number, then 2 and 266,860,712.5 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:

1 533,721,425
-1 -533,721,425

Now, we try dividing 533,721,425 by 3:

533,721,425 ÷ 3 = 177,907,141.6667

If the quotient is a whole number, then 3 and 177,907,141.6667 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:

1 533,721,425
-1 -533,721,425

Let's try dividing by 4:

533,721,425 ÷ 4 = 133,430,356.25

If the quotient is a whole number, then 4 and 133,430,356.25 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:

1 533,721,425
-1 533,721,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1525472351,175454,2312,271,15511,355,77521,348,857106,744,285533,721,425
-1-5-25-47-235-1,175-454,231-2,271,155-11,355,775-21,348,857-106,744,285-533,721,425

More Examples

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