Q: What are the factor combinations of the number 310,020,335?

 A:
Positive:   1 x 3100203355 x 6200406723 x 13479145115 x 2695829127 x 2441105635 x 4882212921 x 10613514605 x 21227
Negative: -1 x -310020335-5 x -62004067-23 x -13479145-115 x -2695829-127 x -2441105-635 x -488221-2921 x -106135-14605 x -21227


How do I find the factor combinations of the number 310,020,335?

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 310,020,335, 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.

1 310,020,335
-1 -310,020,335

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 310,020,335.

Example:
1 x 310,020,335 = 310,020,335
and
-1 x -310,020,335 = 310,020,335
Notice both answers equal 310,020,335

With that explanation out of the way, let's continue. Next, we take the number 310,020,335 and divide it by 2:

310,020,335 ÷ 2 = 155,010,167.5

If the quotient is a whole number, then 2 and 155,010,167.5 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:

1 310,020,335
-1 -310,020,335

Now, we try dividing 310,020,335 by 3:

310,020,335 ÷ 3 = 103,340,111.6667

If the quotient is a whole number, then 3 and 103,340,111.6667 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:

1 310,020,335
-1 -310,020,335

Let's try dividing by 4:

310,020,335 ÷ 4 = 77,505,083.75

If the quotient is a whole number, then 4 and 77,505,083.75 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:

1 310,020,335
-1 310,020,335
Keep dividing by the next highest number until you cannot divide anymore.

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

15231151276352,92114,60521,227106,135488,2212,441,1052,695,82913,479,14562,004,067310,020,335
-1-5-23-115-127-635-2,921-14,605-21,227-106,135-488,221-2,441,105-2,695,829-13,479,145-62,004,067-310,020,335

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