Q: What are the factor combinations of the number 33,607,385?

 A:
Positive:   1 x 336073855 x 67214777 x 480105517 x 197690535 x 96021149 x 68586585 x 395381119 x 282415245 x 137173595 x 56483833 x 403454165 x 8069
Negative: -1 x -33607385-5 x -6721477-7 x -4801055-17 x -1976905-35 x -960211-49 x -685865-85 x -395381-119 x -282415-245 x -137173-595 x -56483-833 x -40345-4165 x -8069


How do I find the factor combinations of the number 33,607,385?

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 33,607,385, 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 33,607,385
-1 -33,607,385

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 33,607,385.

Example:
1 x 33,607,385 = 33,607,385
and
-1 x -33,607,385 = 33,607,385
Notice both answers equal 33,607,385

With that explanation out of the way, let's continue. Next, we take the number 33,607,385 and divide it by 2:

33,607,385 ÷ 2 = 16,803,692.5

If the quotient is a whole number, then 2 and 16,803,692.5 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 33,607,385
-1 -33,607,385

Now, we try dividing 33,607,385 by 3:

33,607,385 ÷ 3 = 11,202,461.6667

If the quotient is a whole number, then 3 and 11,202,461.6667 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 33,607,385
-1 -33,607,385

Let's try dividing by 4:

33,607,385 ÷ 4 = 8,401,846.25

If the quotient is a whole number, then 4 and 8,401,846.25 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 33,607,385
-1 33,607,385
Keep dividing by the next highest number until you cannot divide anymore.

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

157173549851192455958334,1658,06940,34556,483137,173282,415395,381685,865960,2111,976,9054,801,0556,721,47733,607,385
-1-5-7-17-35-49-85-119-245-595-833-4,165-8,069-40,345-56,483-137,173-282,415-395,381-685,865-960,211-1,976,905-4,801,055-6,721,477-33,607,385

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 33,607,385:


Ask a Question