Q: What are the factor combinations of the number 230,510,425?

 A:
Positive:   1 x 2305104255 x 4610208525 x 9220417293 x 7867251465 x 1573457325 x 31469
Negative: -1 x -230510425-5 x -46102085-25 x -9220417-293 x -786725-1465 x -157345-7325 x -31469


How do I find the factor combinations of the number 230,510,425?

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 230,510,425, 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.

1 230,510,425
-1 -230,510,425

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 230,510,425.

Example:
1 x 230,510,425 = 230,510,425
and
-1 x -230,510,425 = 230,510,425
Notice both answers equal 230,510,425

With that explanation out of the way, let's continue. Next, we take the number 230,510,425 and divide it by 2:

230,510,425 ÷ 2 = 115,255,212.5

If the quotient is a whole number, then 2 and 115,255,212.5 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:

1 230,510,425
-1 -230,510,425

Now, we try dividing 230,510,425 by 3:

230,510,425 ÷ 3 = 76,836,808.3333

If the quotient is a whole number, then 3 and 76,836,808.3333 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:

1 230,510,425
-1 -230,510,425

Let's try dividing by 4:

230,510,425 ÷ 4 = 57,627,606.25

If the quotient is a whole number, then 4 and 57,627,606.25 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:

1 230,510,425
-1 230,510,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15252931,4657,32531,469157,345786,7259,220,41746,102,085230,510,425
-1-5-25-293-1,465-7,325-31,469-157,345-786,725-9,220,417-46,102,085-230,510,425

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 230,510,425:


Ask a Question