Q: What are the factor combinations of the number 230,000,011?

 A:
Positive:   1 x 2300000112383 x 96517
Negative: -1 x -230000011-2383 x -96517


How do I find the factor combinations of the number 230,000,011?

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 230,000,011, 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.

1 230,000,011
-1 -230,000,011

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 230,000,011.

Example:
1 x 230,000,011 = 230,000,011
and
-1 x -230,000,011 = 230,000,011
Notice both answers equal 230,000,011

With that explanation out of the way, let's continue. Next, we take the number 230,000,011 and divide it by 2:

230,000,011 ÷ 2 = 115,000,005.5

If the quotient is a whole number, then 2 and 115,000,005.5 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:

1 230,000,011
-1 -230,000,011

Now, we try dividing 230,000,011 by 3:

230,000,011 ÷ 3 = 76,666,670.3333

If the quotient is a whole number, then 3 and 76,666,670.3333 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:

1 230,000,011
-1 -230,000,011

Let's try dividing by 4:

230,000,011 ÷ 4 = 57,500,002.75

If the quotient is a whole number, then 4 and 57,500,002.75 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:

1 230,000,011
-1 230,000,011
Keep dividing by the next highest number until you cannot divide anymore.

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

12,38396,517230,000,011
-1-2,383-96,517-230,000,011

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 230,000,011:


Ask a Question