Q: What are the factor combinations of the number 344,214,031?

 A:
Positive:   1 x 3442140317 x 4917343383 x 4147157581 x 592451
Negative: -1 x -344214031-7 x -49173433-83 x -4147157-581 x -592451


How do I find the factor combinations of the number 344,214,031?

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 344,214,031, 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.

1 344,214,031
-1 -344,214,031

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 344,214,031.

Example:
1 x 344,214,031 = 344,214,031
and
-1 x -344,214,031 = 344,214,031
Notice both answers equal 344,214,031

With that explanation out of the way, let's continue. Next, we take the number 344,214,031 and divide it by 2:

344,214,031 ÷ 2 = 172,107,015.5

If the quotient is a whole number, then 2 and 172,107,015.5 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:

1 344,214,031
-1 -344,214,031

Now, we try dividing 344,214,031 by 3:

344,214,031 ÷ 3 = 114,738,010.3333

If the quotient is a whole number, then 3 and 114,738,010.3333 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:

1 344,214,031
-1 -344,214,031

Let's try dividing by 4:

344,214,031 ÷ 4 = 86,053,507.75

If the quotient is a whole number, then 4 and 86,053,507.75 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:

1 344,214,031
-1 344,214,031
Keep dividing by the next highest number until you cannot divide anymore.

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

1783581592,4514,147,15749,173,433344,214,031
-1-7-83-581-592,451-4,147,157-49,173,433-344,214,031

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