Q: What are the factor combinations of the number 348,853,813?

 A:
Positive:   1 x 3488538137 x 4983625911 x 3171398319 x 1836072777 x 4530569133 x 2622961209 x 16691571463 x 238451
Negative: -1 x -348853813-7 x -49836259-11 x -31713983-19 x -18360727-77 x -4530569-133 x -2622961-209 x -1669157-1463 x -238451


How do I find the factor combinations of the number 348,853,813?

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 348,853,813, 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.

1 348,853,813
-1 -348,853,813

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 348,853,813.

Example:
1 x 348,853,813 = 348,853,813
and
-1 x -348,853,813 = 348,853,813
Notice both answers equal 348,853,813

With that explanation out of the way, let's continue. Next, we take the number 348,853,813 and divide it by 2:

348,853,813 ÷ 2 = 174,426,906.5

If the quotient is a whole number, then 2 and 174,426,906.5 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:

1 348,853,813
-1 -348,853,813

Now, we try dividing 348,853,813 by 3:

348,853,813 ÷ 3 = 116,284,604.3333

If the quotient is a whole number, then 3 and 116,284,604.3333 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:

1 348,853,813
-1 -348,853,813

Let's try dividing by 4:

348,853,813 ÷ 4 = 87,213,453.25

If the quotient is a whole number, then 4 and 87,213,453.25 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:

1 348,853,813
-1 348,853,813
Keep dividing by the next highest number until you cannot divide anymore.

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

171119771332091,463238,4511,669,1572,622,9614,530,56918,360,72731,713,98349,836,259348,853,813
-1-7-11-19-77-133-209-1,463-238,451-1,669,157-2,622,961-4,530,569-18,360,727-31,713,983-49,836,259-348,853,813

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