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

 A:
Positive:   1 x 8156755 x 1631357 x 11652525 x 3262735 x 2330559 x 1382579 x 10325175 x 4661295 x 2765395 x 2065413 x 1975553 x 1475
Negative: -1 x -815675-5 x -163135-7 x -116525-25 x -32627-35 x -23305-59 x -13825-79 x -10325-175 x -4661-295 x -2765-395 x -2065-413 x -1975-553 x -1475


How do I find the factor combinations of the number 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 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.

1 815,675
-1 -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 815,675.

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

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

815,675 ÷ 2 = 407,837.5

If the quotient is a whole number, then 2 and 407,837.5 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:

1 815,675
-1 -815,675

Now, we try dividing 815,675 by 3:

815,675 ÷ 3 = 271,891.6667

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

1 815,675
-1 -815,675

Let's try dividing by 4:

815,675 ÷ 4 = 203,918.75

If the quotient is a whole number, then 4 and 203,918.75 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:

1 815,675
-1 815,675
Keep dividing by the next highest number until you cannot divide anymore.

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

157253559791752953954135531,4751,9752,0652,7654,66110,32513,82523,30532,627116,525163,135815,675
-1-5-7-25-35-59-79-175-295-395-413-553-1,475-1,975-2,065-2,765-4,661-10,325-13,825-23,305-32,627-116,525-163,135-815,675

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 815,675:


Ask a Question