Q: What are the factor combinations of the number 304,422,155?

 A:
Positive:   1 x 3044221555 x 6088443143 x 707958579 x 3853445215 x 1415917395 x 7706893397 x 8961516985 x 17923
Negative: -1 x -304422155-5 x -60884431-43 x -7079585-79 x -3853445-215 x -1415917-395 x -770689-3397 x -89615-16985 x -17923


How do I find the factor combinations of the number 304,422,155?

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 304,422,155, 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.

1 304,422,155
-1 -304,422,155

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 304,422,155.

Example:
1 x 304,422,155 = 304,422,155
and
-1 x -304,422,155 = 304,422,155
Notice both answers equal 304,422,155

With that explanation out of the way, let's continue. Next, we take the number 304,422,155 and divide it by 2:

304,422,155 ÷ 2 = 152,211,077.5

If the quotient is a whole number, then 2 and 152,211,077.5 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:

1 304,422,155
-1 -304,422,155

Now, we try dividing 304,422,155 by 3:

304,422,155 ÷ 3 = 101,474,051.6667

If the quotient is a whole number, then 3 and 101,474,051.6667 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:

1 304,422,155
-1 -304,422,155

Let's try dividing by 4:

304,422,155 ÷ 4 = 76,105,538.75

If the quotient is a whole number, then 4 and 76,105,538.75 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:

1 304,422,155
-1 304,422,155
Keep dividing by the next highest number until you cannot divide anymore.

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

1543792153953,39716,98517,92389,615770,6891,415,9173,853,4457,079,58560,884,431304,422,155
-1-5-43-79-215-395-3,397-16,985-17,923-89,615-770,689-1,415,917-3,853,445-7,079,585-60,884,431-304,422,155

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