Q: What are the factor combinations of the number 33,481,477?

 A:
Positive:   1 x 3348147719 x 176218343 x 778639107 x 312911383 x 87419817 x 409812033 x 164694601 x 7277
Negative: -1 x -33481477-19 x -1762183-43 x -778639-107 x -312911-383 x -87419-817 x -40981-2033 x -16469-4601 x -7277


How do I find the factor combinations of the number 33,481,477?

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 33,481,477, 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 33,481,477
-1 -33,481,477

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 33,481,477.

Example:
1 x 33,481,477 = 33,481,477
and
-1 x -33,481,477 = 33,481,477
Notice both answers equal 33,481,477

With that explanation out of the way, let's continue. Next, we take the number 33,481,477 and divide it by 2:

33,481,477 ÷ 2 = 16,740,738.5

If the quotient is a whole number, then 2 and 16,740,738.5 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 33,481,477
-1 -33,481,477

Now, we try dividing 33,481,477 by 3:

33,481,477 ÷ 3 = 11,160,492.3333

If the quotient is a whole number, then 3 and 11,160,492.3333 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 33,481,477
-1 -33,481,477

Let's try dividing by 4:

33,481,477 ÷ 4 = 8,370,369.25

If the quotient is a whole number, then 4 and 8,370,369.25 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 33,481,477
-1 33,481,477
Keep dividing by the next highest number until you cannot divide anymore.

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

119431073838172,0334,6017,27716,46940,98187,419312,911778,6391,762,18333,481,477
-1-19-43-107-383-817-2,033-4,601-7,277-16,469-40,981-87,419-312,911-778,639-1,762,183-33,481,477

More Examples

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