Q: What are the factor combinations of the number 304,112,875?

 A:
Positive:   1 x 3041128755 x 6082257511 x 2764662525 x 1216451555 x 5529325125 x 2432903275 x 11058651375 x 221173
Negative: -1 x -304112875-5 x -60822575-11 x -27646625-25 x -12164515-55 x -5529325-125 x -2432903-275 x -1105865-1375 x -221173


How do I find the factor combinations of the number 304,112,875?

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 304,112,875, 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.

1 304,112,875
-1 -304,112,875

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 304,112,875.

Example:
1 x 304,112,875 = 304,112,875
and
-1 x -304,112,875 = 304,112,875
Notice both answers equal 304,112,875

With that explanation out of the way, let's continue. Next, we take the number 304,112,875 and divide it by 2:

304,112,875 ÷ 2 = 152,056,437.5

If the quotient is a whole number, then 2 and 152,056,437.5 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:

1 304,112,875
-1 -304,112,875

Now, we try dividing 304,112,875 by 3:

304,112,875 ÷ 3 = 101,370,958.3333

If the quotient is a whole number, then 3 and 101,370,958.3333 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:

1 304,112,875
-1 -304,112,875

Let's try dividing by 4:

304,112,875 ÷ 4 = 76,028,218.75

If the quotient is a whole number, then 4 and 76,028,218.75 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:

1 304,112,875
-1 304,112,875
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551252751,375221,1731,105,8652,432,9035,529,32512,164,51527,646,62560,822,575304,112,875
-1-5-11-25-55-125-275-1,375-221,173-1,105,865-2,432,903-5,529,325-12,164,515-27,646,625-60,822,575-304,112,875

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