Q: What are the factor combinations of the number 18,184,397?

 A:
Positive:   1 x 181843977 x 259777111 x 165312777 x 236161139 x 130823973 x 186891529 x 118931699 x 10703
Negative: -1 x -18184397-7 x -2597771-11 x -1653127-77 x -236161-139 x -130823-973 x -18689-1529 x -11893-1699 x -10703


How do I find the factor combinations of the number 18,184,397?

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 18,184,397, 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 18,184,397
-1 -18,184,397

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 18,184,397.

Example:
1 x 18,184,397 = 18,184,397
and
-1 x -18,184,397 = 18,184,397
Notice both answers equal 18,184,397

With that explanation out of the way, let's continue. Next, we take the number 18,184,397 and divide it by 2:

18,184,397 ÷ 2 = 9,092,198.5

If the quotient is a whole number, then 2 and 9,092,198.5 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 18,184,397
-1 -18,184,397

Now, we try dividing 18,184,397 by 3:

18,184,397 ÷ 3 = 6,061,465.6667

If the quotient is a whole number, then 3 and 6,061,465.6667 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 18,184,397
-1 -18,184,397

Let's try dividing by 4:

18,184,397 ÷ 4 = 4,546,099.25

If the quotient is a whole number, then 4 and 4,546,099.25 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 18,184,397
-1 18,184,397
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771399731,5291,69910,70311,89318,689130,823236,1611,653,1272,597,77118,184,397
-1-7-11-77-139-973-1,529-1,699-10,703-11,893-18,689-130,823-236,161-1,653,127-2,597,771-18,184,397

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