Q: What are the factor combinations of the number 304,367,131?

 A:
Positive:   1 x 30436713167 x 454279371 x 4286861109 x 2792359587 x 5185134757 x 639837303 x 416777739 x 39329
Negative: -1 x -304367131-67 x -4542793-71 x -4286861-109 x -2792359-587 x -518513-4757 x -63983-7303 x -41677-7739 x -39329


How do I find the factor combinations of the number 304,367,131?

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 304,367,131, 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.

1 304,367,131
-1 -304,367,131

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 304,367,131.

Example:
1 x 304,367,131 = 304,367,131
and
-1 x -304,367,131 = 304,367,131
Notice both answers equal 304,367,131

With that explanation out of the way, let's continue. Next, we take the number 304,367,131 and divide it by 2:

304,367,131 ÷ 2 = 152,183,565.5

If the quotient is a whole number, then 2 and 152,183,565.5 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:

1 304,367,131
-1 -304,367,131

Now, we try dividing 304,367,131 by 3:

304,367,131 ÷ 3 = 101,455,710.3333

If the quotient is a whole number, then 3 and 101,455,710.3333 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:

1 304,367,131
-1 -304,367,131

Let's try dividing by 4:

304,367,131 ÷ 4 = 76,091,782.75

If the quotient is a whole number, then 4 and 76,091,782.75 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:

1 304,367,131
-1 304,367,131
Keep dividing by the next highest number until you cannot divide anymore.

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

167711095874,7577,3037,73939,32941,67763,983518,5132,792,3594,286,8614,542,793304,367,131
-1-67-71-109-587-4,757-7,303-7,739-39,329-41,677-63,983-518,513-2,792,359-4,286,861-4,542,793-304,367,131

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