Q: What are the factor combinations of the number 304,147,668?

 A:
Positive:   1 x 3041476682 x 1520738343 x 1013825564 x 760369176 x 5069127811 x 2764978812 x 2534563919 x 1600777222 x 1382489433 x 921659638 x 800388644 x 691244757 x 533592466 x 460829876 x 4001943114 x 2667962132 x 2304149209 x 1455252228 x 1333981418 x 727626627 x 485084836 x 3638131254 x 2425422508 x 121271
Negative: -1 x -304147668-2 x -152073834-3 x -101382556-4 x -76036917-6 x -50691278-11 x -27649788-12 x -25345639-19 x -16007772-22 x -13824894-33 x -9216596-38 x -8003886-44 x -6912447-57 x -5335924-66 x -4608298-76 x -4001943-114 x -2667962-132 x -2304149-209 x -1455252-228 x -1333981-418 x -727626-627 x -485084-836 x -363813-1254 x -242542-2508 x -121271


How do I find the factor combinations of the number 304,147,668?

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 304,147,668, 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.

1 304,147,668
-1 -304,147,668

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 304,147,668.

Example:
1 x 304,147,668 = 304,147,668
and
-1 x -304,147,668 = 304,147,668
Notice both answers equal 304,147,668

With that explanation out of the way, let's continue. Next, we take the number 304,147,668 and divide it by 2:

304,147,668 ÷ 2 = 152,073,834

If the quotient is a whole number, then 2 and 152,073,834 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 152,073,834 304,147,668
-1 -2 -152,073,834 -304,147,668

Now, we try dividing 304,147,668 by 3:

304,147,668 ÷ 3 = 101,382,556

If the quotient is a whole number, then 3 and 101,382,556 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 101,382,556 152,073,834 304,147,668
-1 -2 -3 -101,382,556 -152,073,834 -304,147,668

Let's try dividing by 4:

304,147,668 ÷ 4 = 76,036,917

If the quotient is a whole number, then 4 and 76,036,917 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 76,036,917 101,382,556 152,073,834 304,147,668
-1 -2 -3 -4 -76,036,917 -101,382,556 -152,073,834 304,147,668
Keep dividing by the next highest number until you cannot divide anymore.

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

12346111219223338445766761141322092284186278361,2542,508121,271242,542363,813485,084727,6261,333,9811,455,2522,304,1492,667,9624,001,9434,608,2985,335,9246,912,4478,003,8869,216,59613,824,89416,007,77225,345,63927,649,78850,691,27876,036,917101,382,556152,073,834304,147,668
-1-2-3-4-6-11-12-19-22-33-38-44-57-66-76-114-132-209-228-418-627-836-1,254-2,508-121,271-242,542-363,813-485,084-727,626-1,333,981-1,455,252-2,304,149-2,667,962-4,001,943-4,608,298-5,335,924-6,912,447-8,003,886-9,216,596-13,824,894-16,007,772-25,345,639-27,649,788-50,691,278-76,036,917-101,382,556-152,073,834-304,147,668

More Examples

Here are some more numbers to try:

304,147,666304,147,667304,147,669304,147,670
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