Q: What are the factor combinations of the number 344,344,355?

 A:
Positive:   1 x 3443443555 x 6886887159 x 5836345181 x 1902455295 x 1167269905 x 3804916449 x 5339510679 x 32245
Negative: -1 x -344344355-5 x -68868871-59 x -5836345-181 x -1902455-295 x -1167269-905 x -380491-6449 x -53395-10679 x -32245


How do I find the factor combinations of the number 344,344,355?

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 344,344,355, 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.

1 344,344,355
-1 -344,344,355

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 344,344,355.

Example:
1 x 344,344,355 = 344,344,355
and
-1 x -344,344,355 = 344,344,355
Notice both answers equal 344,344,355

With that explanation out of the way, let's continue. Next, we take the number 344,344,355 and divide it by 2:

344,344,355 ÷ 2 = 172,172,177.5

If the quotient is a whole number, then 2 and 172,172,177.5 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:

1 344,344,355
-1 -344,344,355

Now, we try dividing 344,344,355 by 3:

344,344,355 ÷ 3 = 114,781,451.6667

If the quotient is a whole number, then 3 and 114,781,451.6667 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:

1 344,344,355
-1 -344,344,355

Let's try dividing by 4:

344,344,355 ÷ 4 = 86,086,088.75

If the quotient is a whole number, then 4 and 86,086,088.75 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:

1 344,344,355
-1 344,344,355
Keep dividing by the next highest number until you cannot divide anymore.

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

15591812959056,44910,67932,24553,395380,4911,167,2691,902,4555,836,34568,868,871344,344,355
-1-5-59-181-295-905-6,449-10,679-32,245-53,395-380,491-1,167,269-1,902,455-5,836,345-68,868,871-344,344,355

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