Q: What are the factor combinations of the number 18,002,285?

 A:
Positive:   1 x 180022855 x 36004577 x 257175535 x 51435183 x 216895415 x 43379581 x 309852905 x 6197
Negative: -1 x -18002285-5 x -3600457-7 x -2571755-35 x -514351-83 x -216895-415 x -43379-581 x -30985-2905 x -6197


How do I find the factor combinations of the number 18,002,285?

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 18,002,285, 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 18,002,285
-1 -18,002,285

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 18,002,285.

Example:
1 x 18,002,285 = 18,002,285
and
-1 x -18,002,285 = 18,002,285
Notice both answers equal 18,002,285

With that explanation out of the way, let's continue. Next, we take the number 18,002,285 and divide it by 2:

18,002,285 ÷ 2 = 9,001,142.5

If the quotient is a whole number, then 2 and 9,001,142.5 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 18,002,285
-1 -18,002,285

Now, we try dividing 18,002,285 by 3:

18,002,285 ÷ 3 = 6,000,761.6667

If the quotient is a whole number, then 3 and 6,000,761.6667 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 18,002,285
-1 -18,002,285

Let's try dividing by 4:

18,002,285 ÷ 4 = 4,500,571.25

If the quotient is a whole number, then 4 and 4,500,571.25 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 18,002,285
-1 18,002,285
Keep dividing by the next highest number until you cannot divide anymore.

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

15735834155812,9056,19730,98543,379216,895514,3512,571,7553,600,45718,002,285
-1-5-7-35-83-415-581-2,905-6,197-30,985-43,379-216,895-514,351-2,571,755-3,600,457-18,002,285

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 18,002,285:


Ask a Question