Q: What are the factor combinations of the number 336,756,001?

 A:
Positive:   1 x 33675600141 x 8213561137 x 2458073167 x 2016503359 x 9380395617 x 599536847 x 4918314719 x 22879
Negative: -1 x -336756001-41 x -8213561-137 x -2458073-167 x -2016503-359 x -938039-5617 x -59953-6847 x -49183-14719 x -22879


How do I find the factor combinations of the number 336,756,001?

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 336,756,001, 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.

1 336,756,001
-1 -336,756,001

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 336,756,001.

Example:
1 x 336,756,001 = 336,756,001
and
-1 x -336,756,001 = 336,756,001
Notice both answers equal 336,756,001

With that explanation out of the way, let's continue. Next, we take the number 336,756,001 and divide it by 2:

336,756,001 ÷ 2 = 168,378,000.5

If the quotient is a whole number, then 2 and 168,378,000.5 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:

1 336,756,001
-1 -336,756,001

Now, we try dividing 336,756,001 by 3:

336,756,001 ÷ 3 = 112,252,000.3333

If the quotient is a whole number, then 3 and 112,252,000.3333 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:

1 336,756,001
-1 -336,756,001

Let's try dividing by 4:

336,756,001 ÷ 4 = 84,189,000.25

If the quotient is a whole number, then 4 and 84,189,000.25 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:

1 336,756,001
-1 336,756,001
Keep dividing by the next highest number until you cannot divide anymore.

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

1411371673595,6176,84714,71922,87949,18359,953938,0392,016,5032,458,0738,213,561336,756,001
-1-41-137-167-359-5,617-6,847-14,719-22,879-49,183-59,953-938,039-2,016,503-2,458,073-8,213,561-336,756,001

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