Q: What are the factor combinations of the number 335,005,013?

 A:
Positive:   1 x 3350050137 x 4785785929 x 1155189749 x 6836837203 x 1650271343 x 9766911421 x 2357539947 x 33679
Negative: -1 x -335005013-7 x -47857859-29 x -11551897-49 x -6836837-203 x -1650271-343 x -976691-1421 x -235753-9947 x -33679


How do I find the factor combinations of the number 335,005,013?

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 335,005,013, 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.

1 335,005,013
-1 -335,005,013

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 335,005,013.

Example:
1 x 335,005,013 = 335,005,013
and
-1 x -335,005,013 = 335,005,013
Notice both answers equal 335,005,013

With that explanation out of the way, let's continue. Next, we take the number 335,005,013 and divide it by 2:

335,005,013 ÷ 2 = 167,502,506.5

If the quotient is a whole number, then 2 and 167,502,506.5 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:

1 335,005,013
-1 -335,005,013

Now, we try dividing 335,005,013 by 3:

335,005,013 ÷ 3 = 111,668,337.6667

If the quotient is a whole number, then 3 and 111,668,337.6667 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:

1 335,005,013
-1 -335,005,013

Let's try dividing by 4:

335,005,013 ÷ 4 = 83,751,253.25

If the quotient is a whole number, then 4 and 83,751,253.25 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:

1 335,005,013
-1 335,005,013
Keep dividing by the next highest number until you cannot divide anymore.

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

1729492033431,4219,94733,679235,753976,6911,650,2716,836,83711,551,89747,857,859335,005,013
-1-7-29-49-203-343-1,421-9,947-33,679-235,753-976,691-1,650,271-6,836,837-11,551,897-47,857,859-335,005,013

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