Q: What are the factor combinations of the number 533,542,027?

 A:
Positive:   1 x 5335420277013 x 76079
Negative: -1 x -533542027-7013 x -76079


How do I find the factor combinations of the number 533,542,027?

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 533,542,027, 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.

1 533,542,027
-1 -533,542,027

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 533,542,027.

Example:
1 x 533,542,027 = 533,542,027
and
-1 x -533,542,027 = 533,542,027
Notice both answers equal 533,542,027

With that explanation out of the way, let's continue. Next, we take the number 533,542,027 and divide it by 2:

533,542,027 ÷ 2 = 266,771,013.5

If the quotient is a whole number, then 2 and 266,771,013.5 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:

1 533,542,027
-1 -533,542,027

Now, we try dividing 533,542,027 by 3:

533,542,027 ÷ 3 = 177,847,342.3333

If the quotient is a whole number, then 3 and 177,847,342.3333 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:

1 533,542,027
-1 -533,542,027

Let's try dividing by 4:

533,542,027 ÷ 4 = 133,385,506.75

If the quotient is a whole number, then 4 and 133,385,506.75 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:

1 533,542,027
-1 533,542,027
Keep dividing by the next highest number until you cannot divide anymore.

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

17,01376,079533,542,027
-1-7,013-76,079-533,542,027

More Examples

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