Q: What are the factor combinations of the number 230,603,023?

 A:
Positive:   1 x 2306030237 x 3294328943 x 5362861301 x 766123809 x 285047947 x 2435095663 x 407216629 x 34787
Negative: -1 x -230603023-7 x -32943289-43 x -5362861-301 x -766123-809 x -285047-947 x -243509-5663 x -40721-6629 x -34787


How do I find the factor combinations of the number 230,603,023?

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 230,603,023, 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.

1 230,603,023
-1 -230,603,023

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 230,603,023.

Example:
1 x 230,603,023 = 230,603,023
and
-1 x -230,603,023 = 230,603,023
Notice both answers equal 230,603,023

With that explanation out of the way, let's continue. Next, we take the number 230,603,023 and divide it by 2:

230,603,023 ÷ 2 = 115,301,511.5

If the quotient is a whole number, then 2 and 115,301,511.5 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:

1 230,603,023
-1 -230,603,023

Now, we try dividing 230,603,023 by 3:

230,603,023 ÷ 3 = 76,867,674.3333

If the quotient is a whole number, then 3 and 76,867,674.3333 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:

1 230,603,023
-1 -230,603,023

Let's try dividing by 4:

230,603,023 ÷ 4 = 57,650,755.75

If the quotient is a whole number, then 4 and 57,650,755.75 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:

1 230,603,023
-1 230,603,023
Keep dividing by the next highest number until you cannot divide anymore.

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

17433018099475,6636,62934,78740,721243,509285,047766,1235,362,86132,943,289230,603,023
-1-7-43-301-809-947-5,663-6,629-34,787-40,721-243,509-285,047-766,123-5,362,861-32,943,289-230,603,023

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