Q: What are the factor combinations of the number 33,857,239?

 A:
Positive:   1 x 3385723913 x 260440329 x 116749131 x 1092169377 x 89807403 x 84013899 x 376612897 x 11687
Negative: -1 x -33857239-13 x -2604403-29 x -1167491-31 x -1092169-377 x -89807-403 x -84013-899 x -37661-2897 x -11687


How do I find the factor combinations of the number 33,857,239?

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 33,857,239, 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 33,857,239
-1 -33,857,239

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 33,857,239.

Example:
1 x 33,857,239 = 33,857,239
and
-1 x -33,857,239 = 33,857,239
Notice both answers equal 33,857,239

With that explanation out of the way, let's continue. Next, we take the number 33,857,239 and divide it by 2:

33,857,239 ÷ 2 = 16,928,619.5

If the quotient is a whole number, then 2 and 16,928,619.5 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 33,857,239
-1 -33,857,239

Now, we try dividing 33,857,239 by 3:

33,857,239 ÷ 3 = 11,285,746.3333

If the quotient is a whole number, then 3 and 11,285,746.3333 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 33,857,239
-1 -33,857,239

Let's try dividing by 4:

33,857,239 ÷ 4 = 8,464,309.75

If the quotient is a whole number, then 4 and 8,464,309.75 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 33,857,239
-1 33,857,239
Keep dividing by the next highest number until you cannot divide anymore.

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

11329313774038992,89711,68737,66184,01389,8071,092,1691,167,4912,604,40333,857,239
-1-13-29-31-377-403-899-2,897-11,687-37,661-84,013-89,807-1,092,169-1,167,491-2,604,403-33,857,239

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