Q: What are the factor combinations of the number 335,242,103?

 A:
Positive:   1 x 3352421037 x 47891729149 x 2249947293 x 11441711043 x 3214211097 x 3055992051 x 1634537679 x 43657
Negative: -1 x -335242103-7 x -47891729-149 x -2249947-293 x -1144171-1043 x -321421-1097 x -305599-2051 x -163453-7679 x -43657


How do I find the factor combinations of the number 335,242,103?

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 335,242,103, 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.

1 335,242,103
-1 -335,242,103

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 335,242,103.

Example:
1 x 335,242,103 = 335,242,103
and
-1 x -335,242,103 = 335,242,103
Notice both answers equal 335,242,103

With that explanation out of the way, let's continue. Next, we take the number 335,242,103 and divide it by 2:

335,242,103 ÷ 2 = 167,621,051.5

If the quotient is a whole number, then 2 and 167,621,051.5 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:

1 335,242,103
-1 -335,242,103

Now, we try dividing 335,242,103 by 3:

335,242,103 ÷ 3 = 111,747,367.6667

If the quotient is a whole number, then 3 and 111,747,367.6667 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:

1 335,242,103
-1 -335,242,103

Let's try dividing by 4:

335,242,103 ÷ 4 = 83,810,525.75

If the quotient is a whole number, then 4 and 83,810,525.75 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:

1 335,242,103
-1 335,242,103
Keep dividing by the next highest number until you cannot divide anymore.

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

171492931,0431,0972,0517,67943,657163,453305,599321,4211,144,1712,249,94747,891,729335,242,103
-1-7-149-293-1,043-1,097-2,051-7,679-43,657-163,453-305,599-321,421-1,144,171-2,249,947-47,891,729-335,242,103

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