Q: What are the factor combinations of the number 213,013,033?

 A:
Positive:   1 x 21301303329 x 734527737 x 575710967 x 31792991073 x 1985211943 x 1096312479 x 859272963 x 71891
Negative: -1 x -213013033-29 x -7345277-37 x -5757109-67 x -3179299-1073 x -198521-1943 x -109631-2479 x -85927-2963 x -71891


How do I find the factor combinations of the number 213,013,033?

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 213,013,033, 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.

1 213,013,033
-1 -213,013,033

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 213,013,033.

Example:
1 x 213,013,033 = 213,013,033
and
-1 x -213,013,033 = 213,013,033
Notice both answers equal 213,013,033

With that explanation out of the way, let's continue. Next, we take the number 213,013,033 and divide it by 2:

213,013,033 ÷ 2 = 106,506,516.5

If the quotient is a whole number, then 2 and 106,506,516.5 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:

1 213,013,033
-1 -213,013,033

Now, we try dividing 213,013,033 by 3:

213,013,033 ÷ 3 = 71,004,344.3333

If the quotient is a whole number, then 3 and 71,004,344.3333 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:

1 213,013,033
-1 -213,013,033

Let's try dividing by 4:

213,013,033 ÷ 4 = 53,253,258.25

If the quotient is a whole number, then 4 and 53,253,258.25 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:

1 213,013,033
-1 213,013,033
Keep dividing by the next highest number until you cannot divide anymore.

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

12937671,0731,9432,4792,96371,89185,927109,631198,5213,179,2995,757,1097,345,277213,013,033
-1-29-37-67-1,073-1,943-2,479-2,963-71,891-85,927-109,631-198,521-3,179,299-5,757,109-7,345,277-213,013,033

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 213,013,033:


Ask a Question