Q: What are the factor combinations of the number 304,034,005?

 A:
Positive:   1 x 3040340055 x 6080680111 x 2763945555 x 5527891139 x 2187295695 x 4374591529 x 1988457645 x 39769
Negative: -1 x -304034005-5 x -60806801-11 x -27639455-55 x -5527891-139 x -2187295-695 x -437459-1529 x -198845-7645 x -39769


How do I find the factor combinations of the number 304,034,005?

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 304,034,005, 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.

1 304,034,005
-1 -304,034,005

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 304,034,005.

Example:
1 x 304,034,005 = 304,034,005
and
-1 x -304,034,005 = 304,034,005
Notice both answers equal 304,034,005

With that explanation out of the way, let's continue. Next, we take the number 304,034,005 and divide it by 2:

304,034,005 ÷ 2 = 152,017,002.5

If the quotient is a whole number, then 2 and 152,017,002.5 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:

1 304,034,005
-1 -304,034,005

Now, we try dividing 304,034,005 by 3:

304,034,005 ÷ 3 = 101,344,668.3333

If the quotient is a whole number, then 3 and 101,344,668.3333 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:

1 304,034,005
-1 -304,034,005

Let's try dividing by 4:

304,034,005 ÷ 4 = 76,008,501.25

If the quotient is a whole number, then 4 and 76,008,501.25 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:

1 304,034,005
-1 304,034,005
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551396951,5297,64539,769198,845437,4592,187,2955,527,89127,639,45560,806,801304,034,005
-1-5-11-55-139-695-1,529-7,645-39,769-198,845-437,459-2,187,295-5,527,891-27,639,455-60,806,801-304,034,005

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