Q: What are the factor combinations of the number 33,915,959?

 A:
Positive:   1 x 339159597 x 484513711 x 308326977 x 440467151 x 2246091057 x 320871661 x 204192917 x 11627
Negative: -1 x -33915959-7 x -4845137-11 x -3083269-77 x -440467-151 x -224609-1057 x -32087-1661 x -20419-2917 x -11627


How do I find the factor combinations of the number 33,915,959?

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 33,915,959, 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 33,915,959
-1 -33,915,959

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 33,915,959.

Example:
1 x 33,915,959 = 33,915,959
and
-1 x -33,915,959 = 33,915,959
Notice both answers equal 33,915,959

With that explanation out of the way, let's continue. Next, we take the number 33,915,959 and divide it by 2:

33,915,959 ÷ 2 = 16,957,979.5

If the quotient is a whole number, then 2 and 16,957,979.5 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 33,915,959
-1 -33,915,959

Now, we try dividing 33,915,959 by 3:

33,915,959 ÷ 3 = 11,305,319.6667

If the quotient is a whole number, then 3 and 11,305,319.6667 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 33,915,959
-1 -33,915,959

Let's try dividing by 4:

33,915,959 ÷ 4 = 8,478,989.75

If the quotient is a whole number, then 4 and 8,478,989.75 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 33,915,959
-1 33,915,959
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771511,0571,6612,91711,62720,41932,087224,609440,4673,083,2694,845,13733,915,959
-1-7-11-77-151-1,057-1,661-2,917-11,627-20,419-32,087-224,609-440,467-3,083,269-4,845,137-33,915,959

More Examples

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