Q: What are the factor combinations of the number 344,462,305?

 A:
Positive:   1 x 3444623055 x 6889246111 x 3131475519 x 1812959555 x 626295195 x 3625919209 x 16481451045 x 329629
Negative: -1 x -344462305-5 x -68892461-11 x -31314755-19 x -18129595-55 x -6262951-95 x -3625919-209 x -1648145-1045 x -329629


How do I find the factor combinations of the number 344,462,305?

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 344,462,305, 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.

1 344,462,305
-1 -344,462,305

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 344,462,305.

Example:
1 x 344,462,305 = 344,462,305
and
-1 x -344,462,305 = 344,462,305
Notice both answers equal 344,462,305

With that explanation out of the way, let's continue. Next, we take the number 344,462,305 and divide it by 2:

344,462,305 ÷ 2 = 172,231,152.5

If the quotient is a whole number, then 2 and 172,231,152.5 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:

1 344,462,305
-1 -344,462,305

Now, we try dividing 344,462,305 by 3:

344,462,305 ÷ 3 = 114,820,768.3333

If the quotient is a whole number, then 3 and 114,820,768.3333 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:

1 344,462,305
-1 -344,462,305

Let's try dividing by 4:

344,462,305 ÷ 4 = 86,115,576.25

If the quotient is a whole number, then 4 and 86,115,576.25 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:

1 344,462,305
-1 344,462,305
Keep dividing by the next highest number until you cannot divide anymore.

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

15111955952091,045329,6291,648,1453,625,9196,262,95118,129,59531,314,75568,892,461344,462,305
-1-5-11-19-55-95-209-1,045-329,629-1,648,145-3,625,919-6,262,951-18,129,595-31,314,755-68,892,461-344,462,305

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