Q: What are the factor combinations of the number 336,355,357?

 A:
Positive:   1 x 33635535713 x 2587348997 x 3467581359 x 936923743 x 4526991261 x 2667374667 x 720719659 x 34823
Negative: -1 x -336355357-13 x -25873489-97 x -3467581-359 x -936923-743 x -452699-1261 x -266737-4667 x -72071-9659 x -34823


How do I find the factor combinations of the number 336,355,357?

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 336,355,357, 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.

1 336,355,357
-1 -336,355,357

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 336,355,357.

Example:
1 x 336,355,357 = 336,355,357
and
-1 x -336,355,357 = 336,355,357
Notice both answers equal 336,355,357

With that explanation out of the way, let's continue. Next, we take the number 336,355,357 and divide it by 2:

336,355,357 ÷ 2 = 168,177,678.5

If the quotient is a whole number, then 2 and 168,177,678.5 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:

1 336,355,357
-1 -336,355,357

Now, we try dividing 336,355,357 by 3:

336,355,357 ÷ 3 = 112,118,452.3333

If the quotient is a whole number, then 3 and 112,118,452.3333 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:

1 336,355,357
-1 -336,355,357

Let's try dividing by 4:

336,355,357 ÷ 4 = 84,088,839.25

If the quotient is a whole number, then 4 and 84,088,839.25 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:

1 336,355,357
-1 336,355,357
Keep dividing by the next highest number until you cannot divide anymore.

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

113973597431,2614,6679,65934,82372,071266,737452,699936,9233,467,58125,873,489336,355,357
-1-13-97-359-743-1,261-4,667-9,659-34,823-72,071-266,737-452,699-936,923-3,467,581-25,873,489-336,355,357

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