Q: What are the factor combinations of the number 307,310,047?

 A:
Positive:   1 x 30731004711 x 2793727719 x 1617421341 x 7495367209 x 1470383451 x 681397779 x 3944938569 x 35863
Negative: -1 x -307310047-11 x -27937277-19 x -16174213-41 x -7495367-209 x -1470383-451 x -681397-779 x -394493-8569 x -35863


How do I find the factor combinations of the number 307,310,047?

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 307,310,047, 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.

1 307,310,047
-1 -307,310,047

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 307,310,047.

Example:
1 x 307,310,047 = 307,310,047
and
-1 x -307,310,047 = 307,310,047
Notice both answers equal 307,310,047

With that explanation out of the way, let's continue. Next, we take the number 307,310,047 and divide it by 2:

307,310,047 ÷ 2 = 153,655,023.5

If the quotient is a whole number, then 2 and 153,655,023.5 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:

1 307,310,047
-1 -307,310,047

Now, we try dividing 307,310,047 by 3:

307,310,047 ÷ 3 = 102,436,682.3333

If the quotient is a whole number, then 3 and 102,436,682.3333 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:

1 307,310,047
-1 -307,310,047

Let's try dividing by 4:

307,310,047 ÷ 4 = 76,827,511.75

If the quotient is a whole number, then 4 and 76,827,511.75 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:

1 307,310,047
-1 307,310,047
Keep dividing by the next highest number until you cannot divide anymore.

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

11119412094517798,56935,863394,493681,3971,470,3837,495,36716,174,21327,937,277307,310,047
-1-11-19-41-209-451-779-8,569-35,863-394,493-681,397-1,470,383-7,495,367-16,174,213-27,937,277-307,310,047

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 307,310,047:


Ask a Question