Q: What are the factor combinations of the number 343,631,063?

 A:
Positive:   1 x 34363106323 x 1494048129 x 1184934731 x 11084873667 x 515189713 x 481951899 x 38223716619 x 20677
Negative: -1 x -343631063-23 x -14940481-29 x -11849347-31 x -11084873-667 x -515189-713 x -481951-899 x -382237-16619 x -20677


How do I find the factor combinations of the number 343,631,063?

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 343,631,063, 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.

1 343,631,063
-1 -343,631,063

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 343,631,063.

Example:
1 x 343,631,063 = 343,631,063
and
-1 x -343,631,063 = 343,631,063
Notice both answers equal 343,631,063

With that explanation out of the way, let's continue. Next, we take the number 343,631,063 and divide it by 2:

343,631,063 ÷ 2 = 171,815,531.5

If the quotient is a whole number, then 2 and 171,815,531.5 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:

1 343,631,063
-1 -343,631,063

Now, we try dividing 343,631,063 by 3:

343,631,063 ÷ 3 = 114,543,687.6667

If the quotient is a whole number, then 3 and 114,543,687.6667 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:

1 343,631,063
-1 -343,631,063

Let's try dividing by 4:

343,631,063 ÷ 4 = 85,907,765.75

If the quotient is a whole number, then 4 and 85,907,765.75 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:

1 343,631,063
-1 343,631,063
Keep dividing by the next highest number until you cannot divide anymore.

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

123293166771389916,61920,677382,237481,951515,18911,084,87311,849,34714,940,481343,631,063
-1-23-29-31-667-713-899-16,619-20,677-382,237-481,951-515,189-11,084,873-11,849,347-14,940,481-343,631,063

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