Q: What are the factor combinations of the number 20,031,011?

 A:
Positive:   1 x 200310117 x 286157311 x 182100113 x 154084777 x 26014391 x 220121143 x 1400771001 x 20011
Negative: -1 x -20031011-7 x -2861573-11 x -1821001-13 x -1540847-77 x -260143-91 x -220121-143 x -140077-1001 x -20011


How do I find the factor combinations of the number 20,031,011?

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 20,031,011, 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 20,031,011
-1 -20,031,011

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 20,031,011.

Example:
1 x 20,031,011 = 20,031,011
and
-1 x -20,031,011 = 20,031,011
Notice both answers equal 20,031,011

With that explanation out of the way, let's continue. Next, we take the number 20,031,011 and divide it by 2:

20,031,011 ÷ 2 = 10,015,505.5

If the quotient is a whole number, then 2 and 10,015,505.5 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 20,031,011
-1 -20,031,011

Now, we try dividing 20,031,011 by 3:

20,031,011 ÷ 3 = 6,677,003.6667

If the quotient is a whole number, then 3 and 6,677,003.6667 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 20,031,011
-1 -20,031,011

Let's try dividing by 4:

20,031,011 ÷ 4 = 5,007,752.75

If the quotient is a whole number, then 4 and 5,007,752.75 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 20,031,011
-1 20,031,011
Keep dividing by the next highest number until you cannot divide anymore.

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

17111377911431,00120,011140,077220,121260,1431,540,8471,821,0012,861,57320,031,011
-1-7-11-13-77-91-143-1,001-20,011-140,077-220,121-260,143-1,540,847-1,821,001-2,861,573-20,031,011

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 20,031,011:


Ask a Question