Q: What are the factor combinations of the number 230,032,103?

 A:
Positive:   1 x 2300321037 x 32861729229 x 10045071603 x 143501
Negative: -1 x -230032103-7 x -32861729-229 x -1004507-1603 x -143501


How do I find the factor combinations of the number 230,032,103?

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 230,032,103, 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.

1 230,032,103
-1 -230,032,103

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 230,032,103.

Example:
1 x 230,032,103 = 230,032,103
and
-1 x -230,032,103 = 230,032,103
Notice both answers equal 230,032,103

With that explanation out of the way, let's continue. Next, we take the number 230,032,103 and divide it by 2:

230,032,103 ÷ 2 = 115,016,051.5

If the quotient is a whole number, then 2 and 115,016,051.5 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:

1 230,032,103
-1 -230,032,103

Now, we try dividing 230,032,103 by 3:

230,032,103 ÷ 3 = 76,677,367.6667

If the quotient is a whole number, then 3 and 76,677,367.6667 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:

1 230,032,103
-1 -230,032,103

Let's try dividing by 4:

230,032,103 ÷ 4 = 57,508,025.75

If the quotient is a whole number, then 4 and 57,508,025.75 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:

1 230,032,103
-1 230,032,103
Keep dividing by the next highest number until you cannot divide anymore.

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

172291,603143,5011,004,50732,861,729230,032,103
-1-7-229-1,603-143,501-1,004,507-32,861,729-230,032,103

More Examples

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