Q: What are the factor combinations of the number 33,507,035?

 A:
Positive:   1 x 335070355 x 670140729 x 115541567 x 500105145 x 231083335 x 1000211943 x 172453449 x 9715
Negative: -1 x -33507035-5 x -6701407-29 x -1155415-67 x -500105-145 x -231083-335 x -100021-1943 x -17245-3449 x -9715


How do I find the factor combinations of the number 33,507,035?

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 33,507,035, 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 33,507,035
-1 -33,507,035

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 33,507,035.

Example:
1 x 33,507,035 = 33,507,035
and
-1 x -33,507,035 = 33,507,035
Notice both answers equal 33,507,035

With that explanation out of the way, let's continue. Next, we take the number 33,507,035 and divide it by 2:

33,507,035 ÷ 2 = 16,753,517.5

If the quotient is a whole number, then 2 and 16,753,517.5 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 33,507,035
-1 -33,507,035

Now, we try dividing 33,507,035 by 3:

33,507,035 ÷ 3 = 11,169,011.6667

If the quotient is a whole number, then 3 and 11,169,011.6667 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 33,507,035
-1 -33,507,035

Let's try dividing by 4:

33,507,035 ÷ 4 = 8,376,758.75

If the quotient is a whole number, then 4 and 8,376,758.75 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 33,507,035
-1 33,507,035
Keep dividing by the next highest number until you cannot divide anymore.

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

1529671453351,9433,4499,71517,245100,021231,083500,1051,155,4156,701,40733,507,035
-1-5-29-67-145-335-1,943-3,449-9,715-17,245-100,021-231,083-500,105-1,155,415-6,701,407-33,507,035

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