Q: What are the factor combinations of the number 310,777,015?

 A:
Positive:   1 x 3107770155 x 6215540319 x 1635668531 x 1002506595 x 3271337155 x 2005013589 x 5276352945 x 105527
Negative: -1 x -310777015-5 x -62155403-19 x -16356685-31 x -10025065-95 x -3271337-155 x -2005013-589 x -527635-2945 x -105527


How do I find the factor combinations of the number 310,777,015?

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 310,777,015, 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.

1 310,777,015
-1 -310,777,015

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 310,777,015.

Example:
1 x 310,777,015 = 310,777,015
and
-1 x -310,777,015 = 310,777,015
Notice both answers equal 310,777,015

With that explanation out of the way, let's continue. Next, we take the number 310,777,015 and divide it by 2:

310,777,015 ÷ 2 = 155,388,507.5

If the quotient is a whole number, then 2 and 155,388,507.5 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:

1 310,777,015
-1 -310,777,015

Now, we try dividing 310,777,015 by 3:

310,777,015 ÷ 3 = 103,592,338.3333

If the quotient is a whole number, then 3 and 103,592,338.3333 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:

1 310,777,015
-1 -310,777,015

Let's try dividing by 4:

310,777,015 ÷ 4 = 77,694,253.75

If the quotient is a whole number, then 4 and 77,694,253.75 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:

1 310,777,015
-1 310,777,015
Keep dividing by the next highest number until you cannot divide anymore.

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

151931951555892,945105,527527,6352,005,0133,271,33710,025,06516,356,68562,155,403310,777,015
-1-5-19-31-95-155-589-2,945-105,527-527,635-2,005,013-3,271,337-10,025,065-16,356,685-62,155,403-310,777,015

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