Q: What are the factor combinations of the number 18,742,103?

 A:
Positive:   1 x 18742103809 x 23167
Negative: -1 x -18742103-809 x -23167


How do I find the factor combinations of the number 18,742,103?

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 18,742,103, 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 18,742,103
-1 -18,742,103

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 18,742,103.

Example:
1 x 18,742,103 = 18,742,103
and
-1 x -18,742,103 = 18,742,103
Notice both answers equal 18,742,103

With that explanation out of the way, let's continue. Next, we take the number 18,742,103 and divide it by 2:

18,742,103 ÷ 2 = 9,371,051.5

If the quotient is a whole number, then 2 and 9,371,051.5 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 18,742,103
-1 -18,742,103

Now, we try dividing 18,742,103 by 3:

18,742,103 ÷ 3 = 6,247,367.6667

If the quotient is a whole number, then 3 and 6,247,367.6667 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 18,742,103
-1 -18,742,103

Let's try dividing by 4:

18,742,103 ÷ 4 = 4,685,525.75

If the quotient is a whole number, then 4 and 4,685,525.75 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 18,742,103
-1 18,742,103
Keep dividing by the next highest number until you cannot divide anymore.

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

180923,16718,742,103
-1-809-23,167-18,742,103

More Examples

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