Q: What are the factor combinations of the number 343,244,431?

 A:
Positive:   1 x 34324443131 x 1107240147 x 730307389 x 38566791457 x 2355832647 x 1296732759 x 1244094183 x 82057
Negative: -1 x -343244431-31 x -11072401-47 x -7303073-89 x -3856679-1457 x -235583-2647 x -129673-2759 x -124409-4183 x -82057


How do I find the factor combinations of the number 343,244,431?

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 343,244,431, 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.

1 343,244,431
-1 -343,244,431

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 343,244,431.

Example:
1 x 343,244,431 = 343,244,431
and
-1 x -343,244,431 = 343,244,431
Notice both answers equal 343,244,431

With that explanation out of the way, let's continue. Next, we take the number 343,244,431 and divide it by 2:

343,244,431 ÷ 2 = 171,622,215.5

If the quotient is a whole number, then 2 and 171,622,215.5 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:

1 343,244,431
-1 -343,244,431

Now, we try dividing 343,244,431 by 3:

343,244,431 ÷ 3 = 114,414,810.3333

If the quotient is a whole number, then 3 and 114,414,810.3333 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:

1 343,244,431
-1 -343,244,431

Let's try dividing by 4:

343,244,431 ÷ 4 = 85,811,107.75

If the quotient is a whole number, then 4 and 85,811,107.75 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:

1 343,244,431
-1 343,244,431
Keep dividing by the next highest number until you cannot divide anymore.

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

13147891,4572,6472,7594,18382,057124,409129,673235,5833,856,6797,303,07311,072,401343,244,431
-1-31-47-89-1,457-2,647-2,759-4,183-82,057-124,409-129,673-235,583-3,856,679-7,303,073-11,072,401-343,244,431

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