Q: What are the factor combinations of the number 3,815,675?

 A:
Positive:   1 x 38156755 x 76313519 x 20082525 x 15262729 x 13157595 x 40165145 x 26315277 x 13775475 x 8033551 x 6925725 x 52631385 x 2755
Negative: -1 x -3815675-5 x -763135-19 x -200825-25 x -152627-29 x -131575-95 x -40165-145 x -26315-277 x -13775-475 x -8033-551 x -6925-725 x -5263-1385 x -2755


How do I find the factor combinations of the number 3,815,675?

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 3,815,675, 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 3,815,675
-1 -3,815,675

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 3,815,675.

Example:
1 x 3,815,675 = 3,815,675
and
-1 x -3,815,675 = 3,815,675
Notice both answers equal 3,815,675

With that explanation out of the way, let's continue. Next, we take the number 3,815,675 and divide it by 2:

3,815,675 ÷ 2 = 1,907,837.5

If the quotient is a whole number, then 2 and 1,907,837.5 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 3,815,675
-1 -3,815,675

Now, we try dividing 3,815,675 by 3:

3,815,675 ÷ 3 = 1,271,891.6667

If the quotient is a whole number, then 3 and 1,271,891.6667 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 3,815,675
-1 -3,815,675

Let's try dividing by 4:

3,815,675 ÷ 4 = 953,918.75

If the quotient is a whole number, then 4 and 953,918.75 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 3,815,675
-1 3,815,675
Keep dividing by the next highest number until you cannot divide anymore.

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

15192529951452774755517251,3852,7555,2636,9258,03313,77526,31540,165131,575152,627200,825763,1353,815,675
-1-5-19-25-29-95-145-277-475-551-725-1,385-2,755-5,263-6,925-8,033-13,775-26,315-40,165-131,575-152,627-200,825-763,135-3,815,675

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