Q: What are the factor combinations of the number 271,044,851?

 A:
Positive:   1 x 2710448517 x 3872069311 x 2464044177 x 3520063113 x 2398627791 x 3426611243 x 2180578701 x 31151
Negative: -1 x -271044851-7 x -38720693-11 x -24640441-77 x -3520063-113 x -2398627-791 x -342661-1243 x -218057-8701 x -31151


How do I find the factor combinations of the number 271,044,851?

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 271,044,851, 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.

1 271,044,851
-1 -271,044,851

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 271,044,851.

Example:
1 x 271,044,851 = 271,044,851
and
-1 x -271,044,851 = 271,044,851
Notice both answers equal 271,044,851

With that explanation out of the way, let's continue. Next, we take the number 271,044,851 and divide it by 2:

271,044,851 ÷ 2 = 135,522,425.5

If the quotient is a whole number, then 2 and 135,522,425.5 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:

1 271,044,851
-1 -271,044,851

Now, we try dividing 271,044,851 by 3:

271,044,851 ÷ 3 = 90,348,283.6667

If the quotient is a whole number, then 3 and 90,348,283.6667 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:

1 271,044,851
-1 -271,044,851

Let's try dividing by 4:

271,044,851 ÷ 4 = 67,761,212.75

If the quotient is a whole number, then 4 and 67,761,212.75 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:

1 271,044,851
-1 271,044,851
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771137911,2438,70131,151218,057342,6612,398,6273,520,06324,640,44138,720,693271,044,851
-1-7-11-77-113-791-1,243-8,701-31,151-218,057-342,661-2,398,627-3,520,063-24,640,441-38,720,693-271,044,851

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 271,044,851:


Ask a Question