Q: What are the factor combinations of the number 335,531,365?

 A:
Positive:   1 x 3355313655 x 6710627313 x 2581010543 x 780305565 x 5162021215 x 1560611559 x 6002352795 x 120047
Negative: -1 x -335531365-5 x -67106273-13 x -25810105-43 x -7803055-65 x -5162021-215 x -1560611-559 x -600235-2795 x -120047


How do I find the factor combinations of the number 335,531,365?

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 335,531,365, 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.

1 335,531,365
-1 -335,531,365

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 335,531,365.

Example:
1 x 335,531,365 = 335,531,365
and
-1 x -335,531,365 = 335,531,365
Notice both answers equal 335,531,365

With that explanation out of the way, let's continue. Next, we take the number 335,531,365 and divide it by 2:

335,531,365 ÷ 2 = 167,765,682.5

If the quotient is a whole number, then 2 and 167,765,682.5 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:

1 335,531,365
-1 -335,531,365

Now, we try dividing 335,531,365 by 3:

335,531,365 ÷ 3 = 111,843,788.3333

If the quotient is a whole number, then 3 and 111,843,788.3333 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:

1 335,531,365
-1 -335,531,365

Let's try dividing by 4:

335,531,365 ÷ 4 = 83,882,841.25

If the quotient is a whole number, then 4 and 83,882,841.25 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:

1 335,531,365
-1 335,531,365
Keep dividing by the next highest number until you cannot divide anymore.

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

151343652155592,795120,047600,2351,560,6115,162,0217,803,05525,810,10567,106,273335,531,365
-1-5-13-43-65-215-559-2,795-120,047-600,235-1,560,611-5,162,021-7,803,055-25,810,105-67,106,273-335,531,365

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