Q: What are the factor combinations of the number 47,608,033?

 A:
Positive:   1 x 4760803311 x 432800331 x 1535743149 x 319517341 x 139613937 x 508091639 x 290474619 x 10307
Negative: -1 x -47608033-11 x -4328003-31 x -1535743-149 x -319517-341 x -139613-937 x -50809-1639 x -29047-4619 x -10307


How do I find the factor combinations of the number 47,608,033?

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 47,608,033, 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 47,608,033
-1 -47,608,033

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 47,608,033.

Example:
1 x 47,608,033 = 47,608,033
and
-1 x -47,608,033 = 47,608,033
Notice both answers equal 47,608,033

With that explanation out of the way, let's continue. Next, we take the number 47,608,033 and divide it by 2:

47,608,033 ÷ 2 = 23,804,016.5

If the quotient is a whole number, then 2 and 23,804,016.5 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 47,608,033
-1 -47,608,033

Now, we try dividing 47,608,033 by 3:

47,608,033 ÷ 3 = 15,869,344.3333

If the quotient is a whole number, then 3 and 15,869,344.3333 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 47,608,033
-1 -47,608,033

Let's try dividing by 4:

47,608,033 ÷ 4 = 11,902,008.25

If the quotient is a whole number, then 4 and 11,902,008.25 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 47,608,033
-1 47,608,033
Keep dividing by the next highest number until you cannot divide anymore.

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

111311493419371,6394,61910,30729,04750,809139,613319,5171,535,7434,328,00347,608,033
-1-11-31-149-341-937-1,639-4,619-10,307-29,047-50,809-139,613-319,517-1,535,743-4,328,003-47,608,033

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 47,608,033:


Ask a Question