Q: What are the factor combinations of the number 342,560,323?

 A:
Positive:   1 x 3425603237 x 4893718931 x 1105033349 x 699102761 x 5615743217 x 1578619427 x 8022491519 x 2255171891 x 1811532989 x 1146073697 x 9265913237 x 25879
Negative: -1 x -342560323-7 x -48937189-31 x -11050333-49 x -6991027-61 x -5615743-217 x -1578619-427 x -802249-1519 x -225517-1891 x -181153-2989 x -114607-3697 x -92659-13237 x -25879


How do I find the factor combinations of the number 342,560,323?

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 342,560,323, 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.

1 342,560,323
-1 -342,560,323

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 342,560,323.

Example:
1 x 342,560,323 = 342,560,323
and
-1 x -342,560,323 = 342,560,323
Notice both answers equal 342,560,323

With that explanation out of the way, let's continue. Next, we take the number 342,560,323 and divide it by 2:

342,560,323 ÷ 2 = 171,280,161.5

If the quotient is a whole number, then 2 and 171,280,161.5 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:

1 342,560,323
-1 -342,560,323

Now, we try dividing 342,560,323 by 3:

342,560,323 ÷ 3 = 114,186,774.3333

If the quotient is a whole number, then 3 and 114,186,774.3333 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:

1 342,560,323
-1 -342,560,323

Let's try dividing by 4:

342,560,323 ÷ 4 = 85,640,080.75

If the quotient is a whole number, then 4 and 85,640,080.75 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:

1 342,560,323
-1 342,560,323
Keep dividing by the next highest number until you cannot divide anymore.

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

173149612174271,5191,8912,9893,69713,23725,87992,659114,607181,153225,517802,2491,578,6195,615,7436,991,02711,050,33348,937,189342,560,323
-1-7-31-49-61-217-427-1,519-1,891-2,989-3,697-13,237-25,879-92,659-114,607-181,153-225,517-802,249-1,578,619-5,615,743-6,991,027-11,050,333-48,937,189-342,560,323

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