Q: What are the factor combinations of the number 33,410,729?

 A:
Positive:   1 x 3341072911 x 303733917 x 1965337187 x 178667373 x 89573479 x 697514103 x 81435269 x 6341
Negative: -1 x -33410729-11 x -3037339-17 x -1965337-187 x -178667-373 x -89573-479 x -69751-4103 x -8143-5269 x -6341


How do I find the factor combinations of the number 33,410,729?

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 33,410,729, 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 33,410,729
-1 -33,410,729

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 33,410,729.

Example:
1 x 33,410,729 = 33,410,729
and
-1 x -33,410,729 = 33,410,729
Notice both answers equal 33,410,729

With that explanation out of the way, let's continue. Next, we take the number 33,410,729 and divide it by 2:

33,410,729 ÷ 2 = 16,705,364.5

If the quotient is a whole number, then 2 and 16,705,364.5 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 33,410,729
-1 -33,410,729

Now, we try dividing 33,410,729 by 3:

33,410,729 ÷ 3 = 11,136,909.6667

If the quotient is a whole number, then 3 and 11,136,909.6667 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 33,410,729
-1 -33,410,729

Let's try dividing by 4:

33,410,729 ÷ 4 = 8,352,682.25

If the quotient is a whole number, then 4 and 8,352,682.25 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 33,410,729
-1 33,410,729
Keep dividing by the next highest number until you cannot divide anymore.

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

111171873734794,1035,2696,3418,14369,75189,573178,6671,965,3373,037,33933,410,729
-1-11-17-187-373-479-4,103-5,269-6,341-8,143-69,751-89,573-178,667-1,965,337-3,037,339-33,410,729

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