Q: What are the factor combinations of the number 310,936,087?

 A:
Positive:   1 x 3109360877 x 4441944111 x 2826691741 x 758380777 x 4038131287 x 1083401451 x 6894373157 x 98491
Negative: -1 x -310936087-7 x -44419441-11 x -28266917-41 x -7583807-77 x -4038131-287 x -1083401-451 x -689437-3157 x -98491


How do I find the factor combinations of the number 310,936,087?

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 310,936,087, 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.

1 310,936,087
-1 -310,936,087

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 310,936,087.

Example:
1 x 310,936,087 = 310,936,087
and
-1 x -310,936,087 = 310,936,087
Notice both answers equal 310,936,087

With that explanation out of the way, let's continue. Next, we take the number 310,936,087 and divide it by 2:

310,936,087 ÷ 2 = 155,468,043.5

If the quotient is a whole number, then 2 and 155,468,043.5 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:

1 310,936,087
-1 -310,936,087

Now, we try dividing 310,936,087 by 3:

310,936,087 ÷ 3 = 103,645,362.3333

If the quotient is a whole number, then 3 and 103,645,362.3333 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:

1 310,936,087
-1 -310,936,087

Let's try dividing by 4:

310,936,087 ÷ 4 = 77,734,021.75

If the quotient is a whole number, then 4 and 77,734,021.75 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:

1 310,936,087
-1 310,936,087
Keep dividing by the next highest number until you cannot divide anymore.

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

171141772874513,15798,491689,4371,083,4014,038,1317,583,80728,266,91744,419,441310,936,087
-1-7-11-41-77-287-451-3,157-98,491-689,437-1,083,401-4,038,131-7,583,807-28,266,917-44,419,441-310,936,087

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