Q: What are the factor combinations of the number 308,060,275?

 A:
Positive:   1 x 3080602755 x 6161205523 x 1339392525 x 12322411115 x 2678785575 x 535757
Negative: -1 x -308060275-5 x -61612055-23 x -13393925-25 x -12322411-115 x -2678785-575 x -535757


How do I find the factor combinations of the number 308,060,275?

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 308,060,275, 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.

1 308,060,275
-1 -308,060,275

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 308,060,275.

Example:
1 x 308,060,275 = 308,060,275
and
-1 x -308,060,275 = 308,060,275
Notice both answers equal 308,060,275

With that explanation out of the way, let's continue. Next, we take the number 308,060,275 and divide it by 2:

308,060,275 ÷ 2 = 154,030,137.5

If the quotient is a whole number, then 2 and 154,030,137.5 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:

1 308,060,275
-1 -308,060,275

Now, we try dividing 308,060,275 by 3:

308,060,275 ÷ 3 = 102,686,758.3333

If the quotient is a whole number, then 3 and 102,686,758.3333 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:

1 308,060,275
-1 -308,060,275

Let's try dividing by 4:

308,060,275 ÷ 4 = 77,015,068.75

If the quotient is a whole number, then 4 and 77,015,068.75 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:

1 308,060,275
-1 308,060,275
Keep dividing by the next highest number until you cannot divide anymore.

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

152325115575535,7572,678,78512,322,41113,393,92561,612,055308,060,275
-1-5-23-25-115-575-535,757-2,678,785-12,322,411-13,393,925-61,612,055-308,060,275

More Examples

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