Q: What are the factor combinations of the number 335,531,503?

 A:
Positive:   1 x 33553150337 x 9068419317 x 105845911729 x 28607
Negative: -1 x -335531503-37 x -9068419-317 x -1058459-11729 x -28607


How do I find the factor combinations of the number 335,531,503?

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 335,531,503, 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.

1 335,531,503
-1 -335,531,503

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 335,531,503.

Example:
1 x 335,531,503 = 335,531,503
and
-1 x -335,531,503 = 335,531,503
Notice both answers equal 335,531,503

With that explanation out of the way, let's continue. Next, we take the number 335,531,503 and divide it by 2:

335,531,503 ÷ 2 = 167,765,751.5

If the quotient is a whole number, then 2 and 167,765,751.5 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:

1 335,531,503
-1 -335,531,503

Now, we try dividing 335,531,503 by 3:

335,531,503 ÷ 3 = 111,843,834.3333

If the quotient is a whole number, then 3 and 111,843,834.3333 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:

1 335,531,503
-1 -335,531,503

Let's try dividing by 4:

335,531,503 ÷ 4 = 83,882,875.75

If the quotient is a whole number, then 4 and 83,882,875.75 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:

1 335,531,503
-1 335,531,503
Keep dividing by the next highest number until you cannot divide anymore.

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

13731711,72928,6071,058,4599,068,419335,531,503
-1-37-317-11,729-28,607-1,058,459-9,068,419-335,531,503

More Examples

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