Q: What are the factor combinations of the number 815,575?

 A:
Positive:   1 x 8155755 x 16311517 x 4797519 x 4292525 x 3262385 x 959595 x 8585101 x 8075323 x 2525425 x 1919475 x 1717505 x 1615
Negative: -1 x -815575-5 x -163115-17 x -47975-19 x -42925-25 x -32623-85 x -9595-95 x -8585-101 x -8075-323 x -2525-425 x -1919-475 x -1717-505 x -1615


How do I find the factor combinations of the number 815,575?

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 815,575, 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.

1 815,575
-1 -815,575

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 815,575.

Example:
1 x 815,575 = 815,575
and
-1 x -815,575 = 815,575
Notice both answers equal 815,575

With that explanation out of the way, let's continue. Next, we take the number 815,575 and divide it by 2:

815,575 ÷ 2 = 407,787.5

If the quotient is a whole number, then 2 and 407,787.5 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:

1 815,575
-1 -815,575

Now, we try dividing 815,575 by 3:

815,575 ÷ 3 = 271,858.3333

If the quotient is a whole number, then 3 and 271,858.3333 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:

1 815,575
-1 -815,575

Let's try dividing by 4:

815,575 ÷ 4 = 203,893.75

If the quotient is a whole number, then 4 and 203,893.75 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:

1 815,575
-1 815,575
Keep dividing by the next highest number until you cannot divide anymore.

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

1517192585951013234254755051,6151,7171,9192,5258,0758,5859,59532,62342,92547,975163,115815,575
-1-5-17-19-25-85-95-101-323-425-475-505-1,615-1,717-1,919-2,525-8,075-8,585-9,595-32,623-42,925-47,975-163,115-815,575

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