Q: What are the factor combinations of the number 33,162,613?

 A:
Positive:   1 x 3316261311 x 30147831117 x 296892699 x 12287
Negative: -1 x -33162613-11 x -3014783-1117 x -29689-2699 x -12287


How do I find the factor combinations of the number 33,162,613?

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 33,162,613, 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 33,162,613
-1 -33,162,613

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 33,162,613.

Example:
1 x 33,162,613 = 33,162,613
and
-1 x -33,162,613 = 33,162,613
Notice both answers equal 33,162,613

With that explanation out of the way, let's continue. Next, we take the number 33,162,613 and divide it by 2:

33,162,613 ÷ 2 = 16,581,306.5

If the quotient is a whole number, then 2 and 16,581,306.5 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 33,162,613
-1 -33,162,613

Now, we try dividing 33,162,613 by 3:

33,162,613 ÷ 3 = 11,054,204.3333

If the quotient is a whole number, then 3 and 11,054,204.3333 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 33,162,613
-1 -33,162,613

Let's try dividing by 4:

33,162,613 ÷ 4 = 8,290,653.25

If the quotient is a whole number, then 4 and 8,290,653.25 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 33,162,613
-1 33,162,613
Keep dividing by the next highest number until you cannot divide anymore.

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

1111,1172,69912,28729,6893,014,78333,162,613
-1-11-1,117-2,699-12,287-29,689-3,014,783-33,162,613

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 33,162,613:


Ask a Question