Q: What are the factor combinations of the number 334,011,013?

 A:
Positive:   1 x 3340110137 x 4771585919 x 1757952767 x 4985239133 x 2511361469 x 7121771273 x 2623818911 x 37483
Negative: -1 x -334011013-7 x -47715859-19 x -17579527-67 x -4985239-133 x -2511361-469 x -712177-1273 x -262381-8911 x -37483


How do I find the factor combinations of the number 334,011,013?

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 334,011,013, 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.

1 334,011,013
-1 -334,011,013

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 334,011,013.

Example:
1 x 334,011,013 = 334,011,013
and
-1 x -334,011,013 = 334,011,013
Notice both answers equal 334,011,013

With that explanation out of the way, let's continue. Next, we take the number 334,011,013 and divide it by 2:

334,011,013 ÷ 2 = 167,005,506.5

If the quotient is a whole number, then 2 and 167,005,506.5 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:

1 334,011,013
-1 -334,011,013

Now, we try dividing 334,011,013 by 3:

334,011,013 ÷ 3 = 111,337,004.3333

If the quotient is a whole number, then 3 and 111,337,004.3333 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:

1 334,011,013
-1 -334,011,013

Let's try dividing by 4:

334,011,013 ÷ 4 = 83,502,753.25

If the quotient is a whole number, then 4 and 83,502,753.25 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:

1 334,011,013
-1 334,011,013
Keep dividing by the next highest number until you cannot divide anymore.

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

1719671334691,2738,91137,483262,381712,1772,511,3614,985,23917,579,52747,715,859334,011,013
-1-7-19-67-133-469-1,273-8,911-37,483-262,381-712,177-2,511,361-4,985,239-17,579,527-47,715,859-334,011,013

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