Q: What are the factor combinations of the number 505,236,665?

 A:
Positive:   1 x 5052366655 x 10104733337 x 13655045185 x 2731009773 x 6536053533 x 1430053865 x 13072117665 x 28601
Negative: -1 x -505236665-5 x -101047333-37 x -13655045-185 x -2731009-773 x -653605-3533 x -143005-3865 x -130721-17665 x -28601


How do I find the factor combinations of the number 505,236,665?

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 505,236,665, 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.

1 505,236,665
-1 -505,236,665

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 505,236,665.

Example:
1 x 505,236,665 = 505,236,665
and
-1 x -505,236,665 = 505,236,665
Notice both answers equal 505,236,665

With that explanation out of the way, let's continue. Next, we take the number 505,236,665 and divide it by 2:

505,236,665 ÷ 2 = 252,618,332.5

If the quotient is a whole number, then 2 and 252,618,332.5 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:

1 505,236,665
-1 -505,236,665

Now, we try dividing 505,236,665 by 3:

505,236,665 ÷ 3 = 168,412,221.6667

If the quotient is a whole number, then 3 and 168,412,221.6667 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:

1 505,236,665
-1 -505,236,665

Let's try dividing by 4:

505,236,665 ÷ 4 = 126,309,166.25

If the quotient is a whole number, then 4 and 126,309,166.25 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:

1 505,236,665
-1 505,236,665
Keep dividing by the next highest number until you cannot divide anymore.

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

15371857733,5333,86517,66528,601130,721143,005653,6052,731,00913,655,045101,047,333505,236,665
-1-5-37-185-773-3,533-3,865-17,665-28,601-130,721-143,005-653,605-2,731,009-13,655,045-101,047,333-505,236,665

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