Q: What are the factor combinations of the number 342,330,305?

 A:
Positive:   1 x 3423303055 x 6846606179 x 4333295109 x 3140645395 x 866659545 x 6281297951 x 430558611 x 39755
Negative: -1 x -342330305-5 x -68466061-79 x -4333295-109 x -3140645-395 x -866659-545 x -628129-7951 x -43055-8611 x -39755


How do I find the factor combinations of the number 342,330,305?

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 342,330,305, 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.

1 342,330,305
-1 -342,330,305

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 342,330,305.

Example:
1 x 342,330,305 = 342,330,305
and
-1 x -342,330,305 = 342,330,305
Notice both answers equal 342,330,305

With that explanation out of the way, let's continue. Next, we take the number 342,330,305 and divide it by 2:

342,330,305 ÷ 2 = 171,165,152.5

If the quotient is a whole number, then 2 and 171,165,152.5 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:

1 342,330,305
-1 -342,330,305

Now, we try dividing 342,330,305 by 3:

342,330,305 ÷ 3 = 114,110,101.6667

If the quotient is a whole number, then 3 and 114,110,101.6667 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:

1 342,330,305
-1 -342,330,305

Let's try dividing by 4:

342,330,305 ÷ 4 = 85,582,576.25

If the quotient is a whole number, then 4 and 85,582,576.25 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:

1 342,330,305
-1 342,330,305
Keep dividing by the next highest number until you cannot divide anymore.

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

15791093955457,9518,61139,75543,055628,129866,6593,140,6454,333,29568,466,061342,330,305
-1-5-79-109-395-545-7,951-8,611-39,755-43,055-628,129-866,659-3,140,645-4,333,295-68,466,061-342,330,305

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