Q: What are the factor combinations of the number 304,051,715?

 A:
Positive:   1 x 3040517155 x 6081034311 x 2764106517 x 1788539555 x 552821385 x 3577079187 x 1625945935 x 325189
Negative: -1 x -304051715-5 x -60810343-11 x -27641065-17 x -17885395-55 x -5528213-85 x -3577079-187 x -1625945-935 x -325189


How do I find the factor combinations of the number 304,051,715?

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 304,051,715, 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.

1 304,051,715
-1 -304,051,715

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 304,051,715.

Example:
1 x 304,051,715 = 304,051,715
and
-1 x -304,051,715 = 304,051,715
Notice both answers equal 304,051,715

With that explanation out of the way, let's continue. Next, we take the number 304,051,715 and divide it by 2:

304,051,715 ÷ 2 = 152,025,857.5

If the quotient is a whole number, then 2 and 152,025,857.5 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:

1 304,051,715
-1 -304,051,715

Now, we try dividing 304,051,715 by 3:

304,051,715 ÷ 3 = 101,350,571.6667

If the quotient is a whole number, then 3 and 101,350,571.6667 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:

1 304,051,715
-1 -304,051,715

Let's try dividing by 4:

304,051,715 ÷ 4 = 76,012,928.75

If the quotient is a whole number, then 4 and 76,012,928.75 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:

1 304,051,715
-1 304,051,715
Keep dividing by the next highest number until you cannot divide anymore.

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

1511175585187935325,1891,625,9453,577,0795,528,21317,885,39527,641,06560,810,343304,051,715
-1-5-11-17-55-85-187-935-325,189-1,625,945-3,577,079-5,528,213-17,885,395-27,641,065-60,810,343-304,051,715

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