Q: What are the factor combinations of the number 271,052,243?

 A:
Positive:   1 x 2710522437 x 3872174911 x 2464111347 x 576706977 x 3520159329 x 823867517 x 5242793619 x 74897
Negative: -1 x -271052243-7 x -38721749-11 x -24641113-47 x -5767069-77 x -3520159-329 x -823867-517 x -524279-3619 x -74897


How do I find the factor combinations of the number 271,052,243?

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 271,052,243, 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.

1 271,052,243
-1 -271,052,243

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 271,052,243.

Example:
1 x 271,052,243 = 271,052,243
and
-1 x -271,052,243 = 271,052,243
Notice both answers equal 271,052,243

With that explanation out of the way, let's continue. Next, we take the number 271,052,243 and divide it by 2:

271,052,243 ÷ 2 = 135,526,121.5

If the quotient is a whole number, then 2 and 135,526,121.5 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:

1 271,052,243
-1 -271,052,243

Now, we try dividing 271,052,243 by 3:

271,052,243 ÷ 3 = 90,350,747.6667

If the quotient is a whole number, then 3 and 90,350,747.6667 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:

1 271,052,243
-1 -271,052,243

Let's try dividing by 4:

271,052,243 ÷ 4 = 67,763,060.75

If the quotient is a whole number, then 4 and 67,763,060.75 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:

1 271,052,243
-1 271,052,243
Keep dividing by the next highest number until you cannot divide anymore.

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

171147773295173,61974,897524,279823,8673,520,1595,767,06924,641,11338,721,749271,052,243
-1-7-11-47-77-329-517-3,619-74,897-524,279-823,867-3,520,159-5,767,069-24,641,113-38,721,749-271,052,243

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