Q: What are the factor combinations of the number 345,215,135?

 A:
Positive:   1 x 3452151355 x 6904302771 x 4862185355 x 972437383 x 9013451915 x 1802692539 x 13596512695 x 27193
Negative: -1 x -345215135-5 x -69043027-71 x -4862185-355 x -972437-383 x -901345-1915 x -180269-2539 x -135965-12695 x -27193


How do I find the factor combinations of the number 345,215,135?

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 345,215,135, 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.

1 345,215,135
-1 -345,215,135

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 345,215,135.

Example:
1 x 345,215,135 = 345,215,135
and
-1 x -345,215,135 = 345,215,135
Notice both answers equal 345,215,135

With that explanation out of the way, let's continue. Next, we take the number 345,215,135 and divide it by 2:

345,215,135 ÷ 2 = 172,607,567.5

If the quotient is a whole number, then 2 and 172,607,567.5 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:

1 345,215,135
-1 -345,215,135

Now, we try dividing 345,215,135 by 3:

345,215,135 ÷ 3 = 115,071,711.6667

If the quotient is a whole number, then 3 and 115,071,711.6667 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:

1 345,215,135
-1 -345,215,135

Let's try dividing by 4:

345,215,135 ÷ 4 = 86,303,783.75

If the quotient is a whole number, then 4 and 86,303,783.75 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:

1 345,215,135
-1 345,215,135
Keep dividing by the next highest number until you cannot divide anymore.

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

15713553831,9152,53912,69527,193135,965180,269901,345972,4374,862,18569,043,027345,215,135
-1-5-71-355-383-1,915-2,539-12,695-27,193-135,965-180,269-901,345-972,437-4,862,185-69,043,027-345,215,135

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