Q: What are the factor combinations of the number 300,612,715?

 A:
Positive:   1 x 3006127155 x 6012254313 x 2312405565 x 4624811149 x 2017535745 x 4035071937 x 1551959685 x 31039
Negative: -1 x -300612715-5 x -60122543-13 x -23124055-65 x -4624811-149 x -2017535-745 x -403507-1937 x -155195-9685 x -31039


How do I find the factor combinations of the number 300,612,715?

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 300,612,715, 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.

1 300,612,715
-1 -300,612,715

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 300,612,715.

Example:
1 x 300,612,715 = 300,612,715
and
-1 x -300,612,715 = 300,612,715
Notice both answers equal 300,612,715

With that explanation out of the way, let's continue. Next, we take the number 300,612,715 and divide it by 2:

300,612,715 ÷ 2 = 150,306,357.5

If the quotient is a whole number, then 2 and 150,306,357.5 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:

1 300,612,715
-1 -300,612,715

Now, we try dividing 300,612,715 by 3:

300,612,715 ÷ 3 = 100,204,238.3333

If the quotient is a whole number, then 3 and 100,204,238.3333 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:

1 300,612,715
-1 -300,612,715

Let's try dividing by 4:

300,612,715 ÷ 4 = 75,153,178.75

If the quotient is a whole number, then 4 and 75,153,178.75 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:

1 300,612,715
-1 300,612,715
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651497451,9379,68531,039155,195403,5072,017,5354,624,81123,124,05560,122,543300,612,715
-1-5-13-65-149-745-1,937-9,685-31,039-155,195-403,507-2,017,535-4,624,811-23,124,055-60,122,543-300,612,715

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