Q: What are the factor combinations of the number 335,510,071?

 A:
Positive:   1 x 33551007113 x 2580846767 x 5007613151 x 2221921871 x 3852011963 x 1709172551 x 13152110117 x 33163
Negative: -1 x -335510071-13 x -25808467-67 x -5007613-151 x -2221921-871 x -385201-1963 x -170917-2551 x -131521-10117 x -33163


How do I find the factor combinations of the number 335,510,071?

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 335,510,071, 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.

1 335,510,071
-1 -335,510,071

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 335,510,071.

Example:
1 x 335,510,071 = 335,510,071
and
-1 x -335,510,071 = 335,510,071
Notice both answers equal 335,510,071

With that explanation out of the way, let's continue. Next, we take the number 335,510,071 and divide it by 2:

335,510,071 ÷ 2 = 167,755,035.5

If the quotient is a whole number, then 2 and 167,755,035.5 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:

1 335,510,071
-1 -335,510,071

Now, we try dividing 335,510,071 by 3:

335,510,071 ÷ 3 = 111,836,690.3333

If the quotient is a whole number, then 3 and 111,836,690.3333 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:

1 335,510,071
-1 -335,510,071

Let's try dividing by 4:

335,510,071 ÷ 4 = 83,877,517.75

If the quotient is a whole number, then 4 and 83,877,517.75 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:

1 335,510,071
-1 335,510,071
Keep dividing by the next highest number until you cannot divide anymore.

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

113671518711,9632,55110,11733,163131,521170,917385,2012,221,9215,007,61325,808,467335,510,071
-1-13-67-151-871-1,963-2,551-10,117-33,163-131,521-170,917-385,201-2,221,921-5,007,613-25,808,467-335,510,071

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