Q: What are the factor combinations of the number 306,377,315?

 A:
Positive:   1 x 3063773155 x 6127546317 x 1802219529 x 1056473585 x 3604439145 x 2112947493 x 6214552465 x 124291
Negative: -1 x -306377315-5 x -61275463-17 x -18022195-29 x -10564735-85 x -3604439-145 x -2112947-493 x -621455-2465 x -124291


How do I find the factor combinations of the number 306,377,315?

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 306,377,315, 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.

1 306,377,315
-1 -306,377,315

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 306,377,315.

Example:
1 x 306,377,315 = 306,377,315
and
-1 x -306,377,315 = 306,377,315
Notice both answers equal 306,377,315

With that explanation out of the way, let's continue. Next, we take the number 306,377,315 and divide it by 2:

306,377,315 ÷ 2 = 153,188,657.5

If the quotient is a whole number, then 2 and 153,188,657.5 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:

1 306,377,315
-1 -306,377,315

Now, we try dividing 306,377,315 by 3:

306,377,315 ÷ 3 = 102,125,771.6667

If the quotient is a whole number, then 3 and 102,125,771.6667 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:

1 306,377,315
-1 -306,377,315

Let's try dividing by 4:

306,377,315 ÷ 4 = 76,594,328.75

If the quotient is a whole number, then 4 and 76,594,328.75 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:

1 306,377,315
-1 306,377,315
Keep dividing by the next highest number until you cannot divide anymore.

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

151729851454932,465124,291621,4552,112,9473,604,43910,564,73518,022,19561,275,463306,377,315
-1-5-17-29-85-145-493-2,465-124,291-621,455-2,112,947-3,604,439-10,564,735-18,022,195-61,275,463-306,377,315

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