Q: What are the factor combinations of the number 304,668,265?

 A:
Positive:   1 x 3046682655 x 6093365311 x 2769711555 x 5539423373 x 8168051865 x 1633614103 x 7425514851 x 20515
Negative: -1 x -304668265-5 x -60933653-11 x -27697115-55 x -5539423-373 x -816805-1865 x -163361-4103 x -74255-14851 x -20515


How do I find the factor combinations of the number 304,668,265?

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 304,668,265, 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.

1 304,668,265
-1 -304,668,265

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 304,668,265.

Example:
1 x 304,668,265 = 304,668,265
and
-1 x -304,668,265 = 304,668,265
Notice both answers equal 304,668,265

With that explanation out of the way, let's continue. Next, we take the number 304,668,265 and divide it by 2:

304,668,265 ÷ 2 = 152,334,132.5

If the quotient is a whole number, then 2 and 152,334,132.5 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:

1 304,668,265
-1 -304,668,265

Now, we try dividing 304,668,265 by 3:

304,668,265 ÷ 3 = 101,556,088.3333

If the quotient is a whole number, then 3 and 101,556,088.3333 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:

1 304,668,265
-1 -304,668,265

Let's try dividing by 4:

304,668,265 ÷ 4 = 76,167,066.25

If the quotient is a whole number, then 4 and 76,167,066.25 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:

1 304,668,265
-1 304,668,265
Keep dividing by the next highest number until you cannot divide anymore.

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

1511553731,8654,10314,85120,51574,255163,361816,8055,539,42327,697,11560,933,653304,668,265
-1-5-11-55-373-1,865-4,103-14,851-20,515-74,255-163,361-816,805-5,539,423-27,697,115-60,933,653-304,668,265

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