Q: What are the factor combinations of the number 335,825?

 A:
Positive:   1 x 3358255 x 671657 x 4797519 x 1767525 x 1343335 x 959595 x 3535101 x 3325133 x 2525175 x 1919475 x 707505 x 665
Negative: -1 x -335825-5 x -67165-7 x -47975-19 x -17675-25 x -13433-35 x -9595-95 x -3535-101 x -3325-133 x -2525-175 x -1919-475 x -707-505 x -665


How do I find the factor combinations of the number 335,825?

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 335,825, 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.

1 335,825
-1 -335,825

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 335,825.

Example:
1 x 335,825 = 335,825
and
-1 x -335,825 = 335,825
Notice both answers equal 335,825

With that explanation out of the way, let's continue. Next, we take the number 335,825 and divide it by 2:

335,825 ÷ 2 = 167,912.5

If the quotient is a whole number, then 2 and 167,912.5 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:

1 335,825
-1 -335,825

Now, we try dividing 335,825 by 3:

335,825 ÷ 3 = 111,941.6667

If the quotient is a whole number, then 3 and 111,941.6667 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:

1 335,825
-1 -335,825

Let's try dividing by 4:

335,825 ÷ 4 = 83,956.25

If the quotient is a whole number, then 4 and 83,956.25 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:

1 335,825
-1 335,825
Keep dividing by the next highest number until you cannot divide anymore.

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

157192535951011331754755056657071,9192,5253,3253,5359,59513,43317,67547,97567,165335,825
-1-5-7-19-25-35-95-101-133-175-475-505-665-707-1,919-2,525-3,325-3,535-9,595-13,433-17,675-47,975-67,165-335,825

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