Q: What are the factor combinations of the number 304,524,689?

 A:
Positive:   1 x 3045246897 x 4350352717 x 1791321737 x 8230397119 x 2559031259 x 1175771629 x 4841414403 x 69163
Negative: -1 x -304524689-7 x -43503527-17 x -17913217-37 x -8230397-119 x -2559031-259 x -1175771-629 x -484141-4403 x -69163


How do I find the factor combinations of the number 304,524,689?

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 304,524,689, 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.

1 304,524,689
-1 -304,524,689

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 304,524,689.

Example:
1 x 304,524,689 = 304,524,689
and
-1 x -304,524,689 = 304,524,689
Notice both answers equal 304,524,689

With that explanation out of the way, let's continue. Next, we take the number 304,524,689 and divide it by 2:

304,524,689 ÷ 2 = 152,262,344.5

If the quotient is a whole number, then 2 and 152,262,344.5 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:

1 304,524,689
-1 -304,524,689

Now, we try dividing 304,524,689 by 3:

304,524,689 ÷ 3 = 101,508,229.6667

If the quotient is a whole number, then 3 and 101,508,229.6667 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:

1 304,524,689
-1 -304,524,689

Let's try dividing by 4:

304,524,689 ÷ 4 = 76,131,172.25

If the quotient is a whole number, then 4 and 76,131,172.25 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:

1 304,524,689
-1 304,524,689
Keep dividing by the next highest number until you cannot divide anymore.

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

1717371192596294,40369,163484,1411,175,7712,559,0318,230,39717,913,21743,503,527304,524,689
-1-7-17-37-119-259-629-4,403-69,163-484,141-1,175,771-2,559,031-8,230,397-17,913,217-43,503,527-304,524,689

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