Q: What are the factor combinations of the number 230,244,601?

 A:
Positive:   1 x 23024460129 x 7939469223 x 10324876467 x 35603
Negative: -1 x -230244601-29 x -7939469-223 x -1032487-6467 x -35603


How do I find the factor combinations of the number 230,244,601?

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 230,244,601, 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.

1 230,244,601
-1 -230,244,601

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 230,244,601.

Example:
1 x 230,244,601 = 230,244,601
and
-1 x -230,244,601 = 230,244,601
Notice both answers equal 230,244,601

With that explanation out of the way, let's continue. Next, we take the number 230,244,601 and divide it by 2:

230,244,601 ÷ 2 = 115,122,300.5

If the quotient is a whole number, then 2 and 115,122,300.5 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:

1 230,244,601
-1 -230,244,601

Now, we try dividing 230,244,601 by 3:

230,244,601 ÷ 3 = 76,748,200.3333

If the quotient is a whole number, then 3 and 76,748,200.3333 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:

1 230,244,601
-1 -230,244,601

Let's try dividing by 4:

230,244,601 ÷ 4 = 57,561,150.25

If the quotient is a whole number, then 4 and 57,561,150.25 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:

1 230,244,601
-1 230,244,601
Keep dividing by the next highest number until you cannot divide anymore.

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

1292236,46735,6031,032,4877,939,469230,244,601
-1-29-223-6,467-35,603-1,032,487-7,939,469-230,244,601

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 230,244,601:


Ask a Question