Q: What are the factor combinations of the number 330,106,657?

 A:
Positive:   1 x 33010665743 x 767689973 x 4522009103 x 32049191021 x 3233173139 x 1051634429 x 745337519 x 43903
Negative: -1 x -330106657-43 x -7676899-73 x -4522009-103 x -3204919-1021 x -323317-3139 x -105163-4429 x -74533-7519 x -43903


How do I find the factor combinations of the number 330,106,657?

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 330,106,657, 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.

1 330,106,657
-1 -330,106,657

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 330,106,657.

Example:
1 x 330,106,657 = 330,106,657
and
-1 x -330,106,657 = 330,106,657
Notice both answers equal 330,106,657

With that explanation out of the way, let's continue. Next, we take the number 330,106,657 and divide it by 2:

330,106,657 ÷ 2 = 165,053,328.5

If the quotient is a whole number, then 2 and 165,053,328.5 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:

1 330,106,657
-1 -330,106,657

Now, we try dividing 330,106,657 by 3:

330,106,657 ÷ 3 = 110,035,552.3333

If the quotient is a whole number, then 3 and 110,035,552.3333 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:

1 330,106,657
-1 -330,106,657

Let's try dividing by 4:

330,106,657 ÷ 4 = 82,526,664.25

If the quotient is a whole number, then 4 and 82,526,664.25 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:

1 330,106,657
-1 330,106,657
Keep dividing by the next highest number until you cannot divide anymore.

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

143731031,0213,1394,4297,51943,90374,533105,163323,3173,204,9194,522,0097,676,899330,106,657
-1-43-73-103-1,021-3,139-4,429-7,519-43,903-74,533-105,163-323,317-3,204,919-4,522,009-7,676,899-330,106,657

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