Q: What are the factor combinations of the number 852,635?

 A:
Positive:   1 x 8526355 x 1705277 x 12180517 x 5015535 x 2436185 x 10031119 x 7165595 x 1433
Negative: -1 x -852635-5 x -170527-7 x -121805-17 x -50155-35 x -24361-85 x -10031-119 x -7165-595 x -1433


How do I find the factor combinations of the number 852,635?

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 852,635, 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.

1 852,635
-1 -852,635

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 852,635.

Example:
1 x 852,635 = 852,635
and
-1 x -852,635 = 852,635
Notice both answers equal 852,635

With that explanation out of the way, let's continue. Next, we take the number 852,635 and divide it by 2:

852,635 ÷ 2 = 426,317.5

If the quotient is a whole number, then 2 and 426,317.5 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:

1 852,635
-1 -852,635

Now, we try dividing 852,635 by 3:

852,635 ÷ 3 = 284,211.6667

If the quotient is a whole number, then 3 and 284,211.6667 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:

1 852,635
-1 -852,635

Let's try dividing by 4:

852,635 ÷ 4 = 213,158.75

If the quotient is a whole number, then 4 and 213,158.75 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:

1 852,635
-1 852,635
Keep dividing by the next highest number until you cannot divide anymore.

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

1571735851195951,4337,16510,03124,36150,155121,805170,527852,635
-1-5-7-17-35-85-119-595-1,433-7,165-10,031-24,361-50,155-121,805-170,527-852,635

More Examples

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