Q: What are the factor combinations of the number 306,306,377?

 A:
Positive:   1 x 30630637713 x 23562029139 x 2203643337 x 908921503 x 6089591807 x 1695114381 x 699176539 x 46843
Negative: -1 x -306306377-13 x -23562029-139 x -2203643-337 x -908921-503 x -608959-1807 x -169511-4381 x -69917-6539 x -46843


How do I find the factor combinations of the number 306,306,377?

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 306,306,377, 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.

1 306,306,377
-1 -306,306,377

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 306,306,377.

Example:
1 x 306,306,377 = 306,306,377
and
-1 x -306,306,377 = 306,306,377
Notice both answers equal 306,306,377

With that explanation out of the way, let's continue. Next, we take the number 306,306,377 and divide it by 2:

306,306,377 ÷ 2 = 153,153,188.5

If the quotient is a whole number, then 2 and 153,153,188.5 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:

1 306,306,377
-1 -306,306,377

Now, we try dividing 306,306,377 by 3:

306,306,377 ÷ 3 = 102,102,125.6667

If the quotient is a whole number, then 3 and 102,102,125.6667 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:

1 306,306,377
-1 -306,306,377

Let's try dividing by 4:

306,306,377 ÷ 4 = 76,576,594.25

If the quotient is a whole number, then 4 and 76,576,594.25 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:

1 306,306,377
-1 306,306,377
Keep dividing by the next highest number until you cannot divide anymore.

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

1131393375031,8074,3816,53946,84369,917169,511608,959908,9212,203,64323,562,029306,306,377
-1-13-139-337-503-1,807-4,381-6,539-46,843-69,917-169,511-608,959-908,921-2,203,643-23,562,029-306,306,377

More Examples

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