Q: What are the factor combinations of the number 342,265,369?

 A:
Positive:   1 x 34226536917 x 2013325723 x 1488110371 x 4820639391 x 8753591207 x 2835671633 x 20959312329 x 27761
Negative: -1 x -342265369-17 x -20133257-23 x -14881103-71 x -4820639-391 x -875359-1207 x -283567-1633 x -209593-12329 x -27761


How do I find the factor combinations of the number 342,265,369?

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 342,265,369, 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.

1 342,265,369
-1 -342,265,369

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 342,265,369.

Example:
1 x 342,265,369 = 342,265,369
and
-1 x -342,265,369 = 342,265,369
Notice both answers equal 342,265,369

With that explanation out of the way, let's continue. Next, we take the number 342,265,369 and divide it by 2:

342,265,369 ÷ 2 = 171,132,684.5

If the quotient is a whole number, then 2 and 171,132,684.5 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:

1 342,265,369
-1 -342,265,369

Now, we try dividing 342,265,369 by 3:

342,265,369 ÷ 3 = 114,088,456.3333

If the quotient is a whole number, then 3 and 114,088,456.3333 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:

1 342,265,369
-1 -342,265,369

Let's try dividing by 4:

342,265,369 ÷ 4 = 85,566,342.25

If the quotient is a whole number, then 4 and 85,566,342.25 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:

1 342,265,369
-1 342,265,369
Keep dividing by the next highest number until you cannot divide anymore.

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

11723713911,2071,63312,32927,761209,593283,567875,3594,820,63914,881,10320,133,257342,265,369
-1-17-23-71-391-1,207-1,633-12,329-27,761-209,593-283,567-875,359-4,820,639-14,881,103-20,133,257-342,265,369

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