Q: What are the factor combinations of the number 335,625,235?

 A:
Positive:   1 x 3356252355 x 6712504711 x 3051138555 x 6102277571 x 5877852855 x 1175576281 x 5343510687 x 31405
Negative: -1 x -335625235-5 x -67125047-11 x -30511385-55 x -6102277-571 x -587785-2855 x -117557-6281 x -53435-10687 x -31405


How do I find the factor combinations of the number 335,625,235?

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 335,625,235, 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.

1 335,625,235
-1 -335,625,235

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 335,625,235.

Example:
1 x 335,625,235 = 335,625,235
and
-1 x -335,625,235 = 335,625,235
Notice both answers equal 335,625,235

With that explanation out of the way, let's continue. Next, we take the number 335,625,235 and divide it by 2:

335,625,235 ÷ 2 = 167,812,617.5

If the quotient is a whole number, then 2 and 167,812,617.5 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:

1 335,625,235
-1 -335,625,235

Now, we try dividing 335,625,235 by 3:

335,625,235 ÷ 3 = 111,875,078.3333

If the quotient is a whole number, then 3 and 111,875,078.3333 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:

1 335,625,235
-1 -335,625,235

Let's try dividing by 4:

335,625,235 ÷ 4 = 83,906,308.75

If the quotient is a whole number, then 4 and 83,906,308.75 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:

1 335,625,235
-1 335,625,235
Keep dividing by the next highest number until you cannot divide anymore.

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

1511555712,8556,28110,68731,40553,435117,557587,7856,102,27730,511,38567,125,047335,625,235
-1-5-11-55-571-2,855-6,281-10,687-31,405-53,435-117,557-587,785-6,102,277-30,511,385-67,125,047-335,625,235

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