Q: What are the factor combinations of the number 344,425,235?

 A:
Positive:   1 x 3444252355 x 688850477 x 4920360511 x 3131138535 x 984072155 x 626227777 x 4473055385 x 894611
Negative: -1 x -344425235-5 x -68885047-7 x -49203605-11 x -31311385-35 x -9840721-55 x -6262277-77 x -4473055-385 x -894611


How do I find the factor combinations of the number 344,425,235?

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 344,425,235, 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.

1 344,425,235
-1 -344,425,235

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 344,425,235.

Example:
1 x 344,425,235 = 344,425,235
and
-1 x -344,425,235 = 344,425,235
Notice both answers equal 344,425,235

With that explanation out of the way, let's continue. Next, we take the number 344,425,235 and divide it by 2:

344,425,235 ÷ 2 = 172,212,617.5

If the quotient is a whole number, then 2 and 172,212,617.5 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:

1 344,425,235
-1 -344,425,235

Now, we try dividing 344,425,235 by 3:

344,425,235 ÷ 3 = 114,808,411.6667

If the quotient is a whole number, then 3 and 114,808,411.6667 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:

1 344,425,235
-1 -344,425,235

Let's try dividing by 4:

344,425,235 ÷ 4 = 86,106,308.75

If the quotient is a whole number, then 4 and 86,106,308.75 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:

1 344,425,235
-1 344,425,235
Keep dividing by the next highest number until you cannot divide anymore.

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

15711355577385894,6114,473,0556,262,2779,840,72131,311,38549,203,60568,885,047344,425,235
-1-5-7-11-35-55-77-385-894,611-4,473,055-6,262,277-9,840,721-31,311,385-49,203,605-68,885,047-344,425,235

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