Q: What are the factor combinations of the number 3,336,131?

 A:
Positive:   1 x 333613117 x 19624329 x 11503967 x 49793101 x 33031493 x 67671139 x 29291717 x 1943
Negative: -1 x -3336131-17 x -196243-29 x -115039-67 x -49793-101 x -33031-493 x -6767-1139 x -2929-1717 x -1943


How do I find the factor combinations of the number 3,336,131?

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 3,336,131, 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 3,336,131
-1 -3,336,131

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 3,336,131.

Example:
1 x 3,336,131 = 3,336,131
and
-1 x -3,336,131 = 3,336,131
Notice both answers equal 3,336,131

With that explanation out of the way, let's continue. Next, we take the number 3,336,131 and divide it by 2:

3,336,131 ÷ 2 = 1,668,065.5

If the quotient is a whole number, then 2 and 1,668,065.5 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 3,336,131
-1 -3,336,131

Now, we try dividing 3,336,131 by 3:

3,336,131 ÷ 3 = 1,112,043.6667

If the quotient is a whole number, then 3 and 1,112,043.6667 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 3,336,131
-1 -3,336,131

Let's try dividing by 4:

3,336,131 ÷ 4 = 834,032.75

If the quotient is a whole number, then 4 and 834,032.75 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 3,336,131
-1 3,336,131
Keep dividing by the next highest number until you cannot divide anymore.

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

11729671014931,1391,7171,9432,9296,76733,03149,793115,039196,2433,336,131
-1-17-29-67-101-493-1,139-1,717-1,943-2,929-6,767-33,031-49,793-115,039-196,243-3,336,131

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 3,336,131:


Ask a Question