Q: What are the factor combinations of the number 334,563,313?

 A:
Positive:   1 x 3345633137 x 4779475923 x 14546231161 x 2078033563 x 5942513691 x 906433941 x 8489312949 x 25837
Negative: -1 x -334563313-7 x -47794759-23 x -14546231-161 x -2078033-563 x -594251-3691 x -90643-3941 x -84893-12949 x -25837


How do I find the factor combinations of the number 334,563,313?

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 334,563,313, 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.

1 334,563,313
-1 -334,563,313

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 334,563,313.

Example:
1 x 334,563,313 = 334,563,313
and
-1 x -334,563,313 = 334,563,313
Notice both answers equal 334,563,313

With that explanation out of the way, let's continue. Next, we take the number 334,563,313 and divide it by 2:

334,563,313 ÷ 2 = 167,281,656.5

If the quotient is a whole number, then 2 and 167,281,656.5 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:

1 334,563,313
-1 -334,563,313

Now, we try dividing 334,563,313 by 3:

334,563,313 ÷ 3 = 111,521,104.3333

If the quotient is a whole number, then 3 and 111,521,104.3333 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:

1 334,563,313
-1 -334,563,313

Let's try dividing by 4:

334,563,313 ÷ 4 = 83,640,828.25

If the quotient is a whole number, then 4 and 83,640,828.25 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:

1 334,563,313
-1 334,563,313
Keep dividing by the next highest number until you cannot divide anymore.

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

17231615633,6913,94112,94925,83784,89390,643594,2512,078,03314,546,23147,794,759334,563,313
-1-7-23-161-563-3,691-3,941-12,949-25,837-84,893-90,643-594,251-2,078,033-14,546,231-47,794,759-334,563,313

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