Q: What are the factor combinations of the number 33,723,515?

 A:
Positive:   1 x 337235155 x 67447037 x 481764535 x 96352949 x 68823559 x 571585245 x 137647295 x 114317413 x 816552065 x 163312333 x 144552891 x 11665
Negative: -1 x -33723515-5 x -6744703-7 x -4817645-35 x -963529-49 x -688235-59 x -571585-245 x -137647-295 x -114317-413 x -81655-2065 x -16331-2333 x -14455-2891 x -11665


How do I find the factor combinations of the number 33,723,515?

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 33,723,515, 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 33,723,515
-1 -33,723,515

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 33,723,515.

Example:
1 x 33,723,515 = 33,723,515
and
-1 x -33,723,515 = 33,723,515
Notice both answers equal 33,723,515

With that explanation out of the way, let's continue. Next, we take the number 33,723,515 and divide it by 2:

33,723,515 ÷ 2 = 16,861,757.5

If the quotient is a whole number, then 2 and 16,861,757.5 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 33,723,515
-1 -33,723,515

Now, we try dividing 33,723,515 by 3:

33,723,515 ÷ 3 = 11,241,171.6667

If the quotient is a whole number, then 3 and 11,241,171.6667 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 33,723,515
-1 -33,723,515

Let's try dividing by 4:

33,723,515 ÷ 4 = 8,430,878.75

If the quotient is a whole number, then 4 and 8,430,878.75 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 33,723,515
-1 33,723,515
Keep dividing by the next highest number until you cannot divide anymore.

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

1573549592452954132,0652,3332,89111,66514,45516,33181,655114,317137,647571,585688,235963,5294,817,6456,744,70333,723,515
-1-5-7-35-49-59-245-295-413-2,065-2,333-2,891-11,665-14,455-16,331-81,655-114,317-137,647-571,585-688,235-963,529-4,817,645-6,744,703-33,723,515

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