Q: What are the factor combinations of the number 304,521,553?

 A:
Positive:   1 x 3045215537 x 43503079113 x 2694881367 x 829759791 x 3849831049 x 2902972569 x 1185377343 x 41471
Negative: -1 x -304521553-7 x -43503079-113 x -2694881-367 x -829759-791 x -384983-1049 x -290297-2569 x -118537-7343 x -41471


How do I find the factor combinations of the number 304,521,553?

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 304,521,553, 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.

1 304,521,553
-1 -304,521,553

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 304,521,553.

Example:
1 x 304,521,553 = 304,521,553
and
-1 x -304,521,553 = 304,521,553
Notice both answers equal 304,521,553

With that explanation out of the way, let's continue. Next, we take the number 304,521,553 and divide it by 2:

304,521,553 ÷ 2 = 152,260,776.5

If the quotient is a whole number, then 2 and 152,260,776.5 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:

1 304,521,553
-1 -304,521,553

Now, we try dividing 304,521,553 by 3:

304,521,553 ÷ 3 = 101,507,184.3333

If the quotient is a whole number, then 3 and 101,507,184.3333 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:

1 304,521,553
-1 -304,521,553

Let's try dividing by 4:

304,521,553 ÷ 4 = 76,130,388.25

If the quotient is a whole number, then 4 and 76,130,388.25 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:

1 304,521,553
-1 304,521,553
Keep dividing by the next highest number until you cannot divide anymore.

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

171133677911,0492,5697,34341,471118,537290,297384,983829,7592,694,88143,503,079304,521,553
-1-7-113-367-791-1,049-2,569-7,343-41,471-118,537-290,297-384,983-829,759-2,694,881-43,503,079-304,521,553

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