Q: What are the factor combinations of the number 180,514,015?

 A:
Positive:   1 x 1805140155 x 3610280311 x 1641036555 x 3282073181 x 997315905 x 1994631991 x 906659955 x 18133
Negative: -1 x -180514015-5 x -36102803-11 x -16410365-55 x -3282073-181 x -997315-905 x -199463-1991 x -90665-9955 x -18133


How do I find the factor combinations of the number 180,514,015?

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 180,514,015, 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.

1 180,514,015
-1 -180,514,015

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 180,514,015.

Example:
1 x 180,514,015 = 180,514,015
and
-1 x -180,514,015 = 180,514,015
Notice both answers equal 180,514,015

With that explanation out of the way, let's continue. Next, we take the number 180,514,015 and divide it by 2:

180,514,015 ÷ 2 = 90,257,007.5

If the quotient is a whole number, then 2 and 90,257,007.5 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:

1 180,514,015
-1 -180,514,015

Now, we try dividing 180,514,015 by 3:

180,514,015 ÷ 3 = 60,171,338.3333

If the quotient is a whole number, then 3 and 60,171,338.3333 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:

1 180,514,015
-1 -180,514,015

Let's try dividing by 4:

180,514,015 ÷ 4 = 45,128,503.75

If the quotient is a whole number, then 4 and 45,128,503.75 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:

1 180,514,015
-1 180,514,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551819051,9919,95518,13390,665199,463997,3153,282,07316,410,36536,102,803180,514,015
-1-5-11-55-181-905-1,991-9,955-18,133-90,665-199,463-997,315-3,282,073-16,410,365-36,102,803-180,514,015

More Examples

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