Q: What are the factor combinations of the number 18,300,035?

 A:
Positive:   1 x 183000355 x 366000713 x 140769565 x 281539
Negative: -1 x -18300035-5 x -3660007-13 x -1407695-65 x -281539


How do I find the factor combinations of the number 18,300,035?

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 18,300,035, 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 18,300,035
-1 -18,300,035

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 18,300,035.

Example:
1 x 18,300,035 = 18,300,035
and
-1 x -18,300,035 = 18,300,035
Notice both answers equal 18,300,035

With that explanation out of the way, let's continue. Next, we take the number 18,300,035 and divide it by 2:

18,300,035 ÷ 2 = 9,150,017.5

If the quotient is a whole number, then 2 and 9,150,017.5 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 18,300,035
-1 -18,300,035

Now, we try dividing 18,300,035 by 3:

18,300,035 ÷ 3 = 6,100,011.6667

If the quotient is a whole number, then 3 and 6,100,011.6667 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 18,300,035
-1 -18,300,035

Let's try dividing by 4:

18,300,035 ÷ 4 = 4,575,008.75

If the quotient is a whole number, then 4 and 4,575,008.75 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 18,300,035
-1 18,300,035
Keep dividing by the next highest number until you cannot divide anymore.

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

151365281,5391,407,6953,660,00718,300,035
-1-5-13-65-281,539-1,407,695-3,660,007-18,300,035

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 18,300,035:


Ask a Question