Q: What are the factor combinations of the number 335,148,215?

 A:
Positive:   1 x 3351482155 x 6702964329 x 11556835145 x 2311367347 x 9658451735 x 1931696661 x 5031510063 x 33305
Negative: -1 x -335148215-5 x -67029643-29 x -11556835-145 x -2311367-347 x -965845-1735 x -193169-6661 x -50315-10063 x -33305


How do I find the factor combinations of the number 335,148,215?

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 335,148,215, 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.

1 335,148,215
-1 -335,148,215

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 335,148,215.

Example:
1 x 335,148,215 = 335,148,215
and
-1 x -335,148,215 = 335,148,215
Notice both answers equal 335,148,215

With that explanation out of the way, let's continue. Next, we take the number 335,148,215 and divide it by 2:

335,148,215 ÷ 2 = 167,574,107.5

If the quotient is a whole number, then 2 and 167,574,107.5 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:

1 335,148,215
-1 -335,148,215

Now, we try dividing 335,148,215 by 3:

335,148,215 ÷ 3 = 111,716,071.6667

If the quotient is a whole number, then 3 and 111,716,071.6667 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:

1 335,148,215
-1 -335,148,215

Let's try dividing by 4:

335,148,215 ÷ 4 = 83,787,053.75

If the quotient is a whole number, then 4 and 83,787,053.75 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:

1 335,148,215
-1 335,148,215
Keep dividing by the next highest number until you cannot divide anymore.

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

15291453471,7356,66110,06333,30550,315193,169965,8452,311,36711,556,83567,029,643335,148,215
-1-5-29-145-347-1,735-6,661-10,063-33,305-50,315-193,169-965,845-2,311,367-11,556,835-67,029,643-335,148,215

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