Q: What are the factor combinations of the number 230,523,155?

 A:
Positive:   1 x 2305231555 x 4610463171 x 3246805355 x 649361
Negative: -1 x -230523155-5 x -46104631-71 x -3246805-355 x -649361


How do I find the factor combinations of the number 230,523,155?

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 230,523,155, 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.

1 230,523,155
-1 -230,523,155

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 230,523,155.

Example:
1 x 230,523,155 = 230,523,155
and
-1 x -230,523,155 = 230,523,155
Notice both answers equal 230,523,155

With that explanation out of the way, let's continue. Next, we take the number 230,523,155 and divide it by 2:

230,523,155 ÷ 2 = 115,261,577.5

If the quotient is a whole number, then 2 and 115,261,577.5 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:

1 230,523,155
-1 -230,523,155

Now, we try dividing 230,523,155 by 3:

230,523,155 ÷ 3 = 76,841,051.6667

If the quotient is a whole number, then 3 and 76,841,051.6667 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:

1 230,523,155
-1 -230,523,155

Let's try dividing by 4:

230,523,155 ÷ 4 = 57,630,788.75

If the quotient is a whole number, then 4 and 57,630,788.75 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:

1 230,523,155
-1 230,523,155
Keep dividing by the next highest number until you cannot divide anymore.

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

1571355649,3613,246,80546,104,631230,523,155
-1-5-71-355-649,361-3,246,805-46,104,631-230,523,155

More Examples

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