Q: What are the factor combinations of the number 33,020,449?

 A:
Positive:   1 x 330204497 x 471720711 x 300185977 x 42883797 x 340417679 x 486311067 x 309474421 x 7469
Negative: -1 x -33020449-7 x -4717207-11 x -3001859-77 x -428837-97 x -340417-679 x -48631-1067 x -30947-4421 x -7469


How do I find the factor combinations of the number 33,020,449?

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 33,020,449, 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 33,020,449
-1 -33,020,449

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 33,020,449.

Example:
1 x 33,020,449 = 33,020,449
and
-1 x -33,020,449 = 33,020,449
Notice both answers equal 33,020,449

With that explanation out of the way, let's continue. Next, we take the number 33,020,449 and divide it by 2:

33,020,449 ÷ 2 = 16,510,224.5

If the quotient is a whole number, then 2 and 16,510,224.5 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 33,020,449
-1 -33,020,449

Now, we try dividing 33,020,449 by 3:

33,020,449 ÷ 3 = 11,006,816.3333

If the quotient is a whole number, then 3 and 11,006,816.3333 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 33,020,449
-1 -33,020,449

Let's try dividing by 4:

33,020,449 ÷ 4 = 8,255,112.25

If the quotient is a whole number, then 4 and 8,255,112.25 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 33,020,449
-1 33,020,449
Keep dividing by the next highest number until you cannot divide anymore.

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

171177976791,0674,4217,46930,94748,631340,417428,8373,001,8594,717,20733,020,449
-1-7-11-77-97-679-1,067-4,421-7,469-30,947-48,631-340,417-428,837-3,001,859-4,717,207-33,020,449

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 33,020,449:


Ask a Question