Q: What are the factor combinations of the number 335,885?

 A:
Positive:   1 x 3358855 x 6717711 x 3053531 x 1083555 x 6107155 x 2167197 x 1705341 x 985
Negative: -1 x -335885-5 x -67177-11 x -30535-31 x -10835-55 x -6107-155 x -2167-197 x -1705-341 x -985


How do I find the factor combinations of the number 335,885?

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 335,885, 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.

1 335,885
-1 -335,885

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 335,885.

Example:
1 x 335,885 = 335,885
and
-1 x -335,885 = 335,885
Notice both answers equal 335,885

With that explanation out of the way, let's continue. Next, we take the number 335,885 and divide it by 2:

335,885 ÷ 2 = 167,942.5

If the quotient is a whole number, then 2 and 167,942.5 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:

1 335,885
-1 -335,885

Now, we try dividing 335,885 by 3:

335,885 ÷ 3 = 111,961.6667

If the quotient is a whole number, then 3 and 111,961.6667 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:

1 335,885
-1 -335,885

Let's try dividing by 4:

335,885 ÷ 4 = 83,971.25

If the quotient is a whole number, then 4 and 83,971.25 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:

1 335,885
-1 335,885
Keep dividing by the next highest number until you cannot divide anymore.

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

151131551551973419851,7052,1676,10710,83530,53567,177335,885
-1-5-11-31-55-155-197-341-985-1,705-2,167-6,107-10,835-30,535-67,177-335,885

More Examples

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