Q: What are the factor combinations of the number 307,757,875?

 A:
Positive:   1 x 3077578755 x 6155157525 x 12310315125 x 2462063569 x 5408752845 x 1081754327 x 7112514225 x 21635
Negative: -1 x -307757875-5 x -61551575-25 x -12310315-125 x -2462063-569 x -540875-2845 x -108175-4327 x -71125-14225 x -21635


How do I find the factor combinations of the number 307,757,875?

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 307,757,875, 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.

1 307,757,875
-1 -307,757,875

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 307,757,875.

Example:
1 x 307,757,875 = 307,757,875
and
-1 x -307,757,875 = 307,757,875
Notice both answers equal 307,757,875

With that explanation out of the way, let's continue. Next, we take the number 307,757,875 and divide it by 2:

307,757,875 ÷ 2 = 153,878,937.5

If the quotient is a whole number, then 2 and 153,878,937.5 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:

1 307,757,875
-1 -307,757,875

Now, we try dividing 307,757,875 by 3:

307,757,875 ÷ 3 = 102,585,958.3333

If the quotient is a whole number, then 3 and 102,585,958.3333 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:

1 307,757,875
-1 -307,757,875

Let's try dividing by 4:

307,757,875 ÷ 4 = 76,939,468.75

If the quotient is a whole number, then 4 and 76,939,468.75 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:

1 307,757,875
-1 307,757,875
Keep dividing by the next highest number until you cannot divide anymore.

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

15251255692,8454,32714,22521,63571,125108,175540,8752,462,06312,310,31561,551,575307,757,875
-1-5-25-125-569-2,845-4,327-14,225-21,635-71,125-108,175-540,875-2,462,063-12,310,315-61,551,575-307,757,875

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