Q: What are the factor combinations of the number 32,131,033?

 A:
Positive:   1 x 3213103311 x 292100319 x 169110747 x 683639209 x 153737517 x 62149893 x 359813271 x 9823
Negative: -1 x -32131033-11 x -2921003-19 x -1691107-47 x -683639-209 x -153737-517 x -62149-893 x -35981-3271 x -9823


How do I find the factor combinations of the number 32,131,033?

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 32,131,033, 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 32,131,033
-1 -32,131,033

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 32,131,033.

Example:
1 x 32,131,033 = 32,131,033
and
-1 x -32,131,033 = 32,131,033
Notice both answers equal 32,131,033

With that explanation out of the way, let's continue. Next, we take the number 32,131,033 and divide it by 2:

32,131,033 ÷ 2 = 16,065,516.5

If the quotient is a whole number, then 2 and 16,065,516.5 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 32,131,033
-1 -32,131,033

Now, we try dividing 32,131,033 by 3:

32,131,033 ÷ 3 = 10,710,344.3333

If the quotient is a whole number, then 3 and 10,710,344.3333 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 32,131,033
-1 -32,131,033

Let's try dividing by 4:

32,131,033 ÷ 4 = 8,032,758.25

If the quotient is a whole number, then 4 and 8,032,758.25 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 32,131,033
-1 32,131,033
Keep dividing by the next highest number until you cannot divide anymore.

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

11119472095178933,2719,82335,98162,149153,737683,6391,691,1072,921,00332,131,033
-1-11-19-47-209-517-893-3,271-9,823-35,981-62,149-153,737-683,639-1,691,107-2,921,003-32,131,033

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 32,131,033:


Ask a Question