Q: What are the factor combinations of the number 342,612,125?

 A:
Positive:   1 x 3426121255 x 6852242525 x 13704485125 x 27408971279 x 2678752143 x 1598756395 x 5357510715 x 31975
Negative: -1 x -342612125-5 x -68522425-25 x -13704485-125 x -2740897-1279 x -267875-2143 x -159875-6395 x -53575-10715 x -31975


How do I find the factor combinations of the number 342,612,125?

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 342,612,125, 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.

1 342,612,125
-1 -342,612,125

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 342,612,125.

Example:
1 x 342,612,125 = 342,612,125
and
-1 x -342,612,125 = 342,612,125
Notice both answers equal 342,612,125

With that explanation out of the way, let's continue. Next, we take the number 342,612,125 and divide it by 2:

342,612,125 ÷ 2 = 171,306,062.5

If the quotient is a whole number, then 2 and 171,306,062.5 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:

1 342,612,125
-1 -342,612,125

Now, we try dividing 342,612,125 by 3:

342,612,125 ÷ 3 = 114,204,041.6667

If the quotient is a whole number, then 3 and 114,204,041.6667 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:

1 342,612,125
-1 -342,612,125

Let's try dividing by 4:

342,612,125 ÷ 4 = 85,653,031.25

If the quotient is a whole number, then 4 and 85,653,031.25 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:

1 342,612,125
-1 342,612,125
Keep dividing by the next highest number until you cannot divide anymore.

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

15251251,2792,1436,39510,71531,97553,575159,875267,8752,740,89713,704,48568,522,425342,612,125
-1-5-25-125-1,279-2,143-6,395-10,715-31,975-53,575-159,875-267,875-2,740,897-13,704,485-68,522,425-342,612,125

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