Q: What are the factor combinations of the number 304,102,368?

 A:
Positive:   1 x 3041023682 x 1520511843 x 1013674564 x 760255926 x 506837288 x 380127969 x 3378915212 x 2534186416 x 1900639818 x 1689457624 x 1267093232 x 950319936 x 844728848 x 633546672 x 422364496 x 3167733144 x 2111822288 x 1055911
Negative: -1 x -304102368-2 x -152051184-3 x -101367456-4 x -76025592-6 x -50683728-8 x -38012796-9 x -33789152-12 x -25341864-16 x -19006398-18 x -16894576-24 x -12670932-32 x -9503199-36 x -8447288-48 x -6335466-72 x -4223644-96 x -3167733-144 x -2111822-288 x -1055911


How do I find the factor combinations of the number 304,102,368?

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 304,102,368, 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.

1 304,102,368
-1 -304,102,368

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 304,102,368.

Example:
1 x 304,102,368 = 304,102,368
and
-1 x -304,102,368 = 304,102,368
Notice both answers equal 304,102,368

With that explanation out of the way, let's continue. Next, we take the number 304,102,368 and divide it by 2:

304,102,368 ÷ 2 = 152,051,184

If the quotient is a whole number, then 2 and 152,051,184 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 2 152,051,184 304,102,368
-1 -2 -152,051,184 -304,102,368

Now, we try dividing 304,102,368 by 3:

304,102,368 ÷ 3 = 101,367,456

If the quotient is a whole number, then 3 and 101,367,456 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 3 101,367,456 152,051,184 304,102,368
-1 -2 -3 -101,367,456 -152,051,184 -304,102,368

Let's try dividing by 4:

304,102,368 ÷ 4 = 76,025,592

If the quotient is a whole number, then 4 and 76,025,592 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 76,025,592 101,367,456 152,051,184 304,102,368
-1 -2 -3 -4 -76,025,592 -101,367,456 -152,051,184 304,102,368
Keep dividing by the next highest number until you cannot divide anymore.

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

12346891216182432364872961442881,055,9112,111,8223,167,7334,223,6446,335,4668,447,2889,503,19912,670,93216,894,57619,006,39825,341,86433,789,15238,012,79650,683,72876,025,592101,367,456152,051,184304,102,368
-1-2-3-4-6-8-9-12-16-18-24-32-36-48-72-96-144-288-1,055,911-2,111,822-3,167,733-4,223,644-6,335,466-8,447,288-9,503,199-12,670,932-16,894,576-19,006,398-25,341,864-33,789,152-38,012,796-50,683,728-76,025,592-101,367,456-152,051,184-304,102,368

More Examples

Here are some more numbers to try:

304,102,366304,102,367304,102,369304,102,370
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