Q: What are the factor combinations of the number 605,159,999?

 A:
Positive:   1 x 60515999917 x 3559764773 x 8289863337 x 17957271241 x 4876391447 x 4182175729 x 10563124599 x 24601
Negative: -1 x -605159999-17 x -35597647-73 x -8289863-337 x -1795727-1241 x -487639-1447 x -418217-5729 x -105631-24599 x -24601


How do I find the factor combinations of the number 605,159,999?

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 605,159,999, 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.

1 605,159,999
-1 -605,159,999

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 605,159,999.

Example:
1 x 605,159,999 = 605,159,999
and
-1 x -605,159,999 = 605,159,999
Notice both answers equal 605,159,999

With that explanation out of the way, let's continue. Next, we take the number 605,159,999 and divide it by 2:

605,159,999 ÷ 2 = 302,579,999.5

If the quotient is a whole number, then 2 and 302,579,999.5 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:

1 605,159,999
-1 -605,159,999

Now, we try dividing 605,159,999 by 3:

605,159,999 ÷ 3 = 201,719,999.6667

If the quotient is a whole number, then 3 and 201,719,999.6667 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:

1 605,159,999
-1 -605,159,999

Let's try dividing by 4:

605,159,999 ÷ 4 = 151,289,999.75

If the quotient is a whole number, then 4 and 151,289,999.75 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:

1 605,159,999
-1 605,159,999
Keep dividing by the next highest number until you cannot divide anymore.

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

117733371,2411,4475,72924,59924,601105,631418,217487,6391,795,7278,289,86335,597,647605,159,999
-1-17-73-337-1,241-1,447-5,729-24,599-24,601-105,631-418,217-487,639-1,795,727-8,289,863-35,597,647-605,159,999

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 605,159,999:


Ask a Question