Q: What are the factor combinations of the number 310,868,845?

 A:
Positive:   1 x 3108688455 x 621737697 x 4440983535 x 8881967199 x 1562155995 x 3124311393 x 2231656965 x 44633
Negative: -1 x -310868845-5 x -62173769-7 x -44409835-35 x -8881967-199 x -1562155-995 x -312431-1393 x -223165-6965 x -44633


How do I find the factor combinations of the number 310,868,845?

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 310,868,845, 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.

1 310,868,845
-1 -310,868,845

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 310,868,845.

Example:
1 x 310,868,845 = 310,868,845
and
-1 x -310,868,845 = 310,868,845
Notice both answers equal 310,868,845

With that explanation out of the way, let's continue. Next, we take the number 310,868,845 and divide it by 2:

310,868,845 ÷ 2 = 155,434,422.5

If the quotient is a whole number, then 2 and 155,434,422.5 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:

1 310,868,845
-1 -310,868,845

Now, we try dividing 310,868,845 by 3:

310,868,845 ÷ 3 = 103,622,948.3333

If the quotient is a whole number, then 3 and 103,622,948.3333 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:

1 310,868,845
-1 -310,868,845

Let's try dividing by 4:

310,868,845 ÷ 4 = 77,717,211.25

If the quotient is a whole number, then 4 and 77,717,211.25 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:

1 310,868,845
-1 310,868,845
Keep dividing by the next highest number until you cannot divide anymore.

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

157351999951,3936,96544,633223,165312,4311,562,1558,881,96744,409,83562,173,769310,868,845
-1-5-7-35-199-995-1,393-6,965-44,633-223,165-312,431-1,562,155-8,881,967-44,409,835-62,173,769-310,868,845

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 310,868,845:


Ask a Question