Q: What are the factor combinations of the number 815,431,843?

 A:
Positive:   1 x 81543184317 x 4796657931 x 26304253113 x 7216211527 x 15473091921 x 4244833503 x 23278113693 x 59551
Negative: -1 x -815431843-17 x -47966579-31 x -26304253-113 x -7216211-527 x -1547309-1921 x -424483-3503 x -232781-13693 x -59551


How do I find the factor combinations of the number 815,431,843?

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 815,431,843, 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.

1 815,431,843
-1 -815,431,843

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 815,431,843.

Example:
1 x 815,431,843 = 815,431,843
and
-1 x -815,431,843 = 815,431,843
Notice both answers equal 815,431,843

With that explanation out of the way, let's continue. Next, we take the number 815,431,843 and divide it by 2:

815,431,843 ÷ 2 = 407,715,921.5

If the quotient is a whole number, then 2 and 407,715,921.5 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:

1 815,431,843
-1 -815,431,843

Now, we try dividing 815,431,843 by 3:

815,431,843 ÷ 3 = 271,810,614.3333

If the quotient is a whole number, then 3 and 271,810,614.3333 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:

1 815,431,843
-1 -815,431,843

Let's try dividing by 4:

815,431,843 ÷ 4 = 203,857,960.75

If the quotient is a whole number, then 4 and 203,857,960.75 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:

1 815,431,843
-1 815,431,843
Keep dividing by the next highest number until you cannot divide anymore.

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

117311135271,9213,50313,69359,551232,781424,4831,547,3097,216,21126,304,25347,966,579815,431,843
-1-17-31-113-527-1,921-3,503-13,693-59,551-232,781-424,483-1,547,309-7,216,211-26,304,253-47,966,579-815,431,843

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