Q: What are the factor combinations of the number 271,070,701?

 A:
Positive:   1 x 27107070111 x 2464279119 x 14266879209 x 1296989283 x 9578473113 x 870774583 x 591475377 x 50413
Negative: -1 x -271070701-11 x -24642791-19 x -14266879-209 x -1296989-283 x -957847-3113 x -87077-4583 x -59147-5377 x -50413


How do I find the factor combinations of the number 271,070,701?

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 271,070,701, 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.

1 271,070,701
-1 -271,070,701

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 271,070,701.

Example:
1 x 271,070,701 = 271,070,701
and
-1 x -271,070,701 = 271,070,701
Notice both answers equal 271,070,701

With that explanation out of the way, let's continue. Next, we take the number 271,070,701 and divide it by 2:

271,070,701 ÷ 2 = 135,535,350.5

If the quotient is a whole number, then 2 and 135,535,350.5 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:

1 271,070,701
-1 -271,070,701

Now, we try dividing 271,070,701 by 3:

271,070,701 ÷ 3 = 90,356,900.3333

If the quotient is a whole number, then 3 and 90,356,900.3333 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:

1 271,070,701
-1 -271,070,701

Let's try dividing by 4:

271,070,701 ÷ 4 = 67,767,675.25

If the quotient is a whole number, then 4 and 67,767,675.25 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:

1 271,070,701
-1 271,070,701
Keep dividing by the next highest number until you cannot divide anymore.

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

111192092833,1134,5835,37750,41359,14787,077957,8471,296,98914,266,87924,642,791271,070,701
-1-11-19-209-283-3,113-4,583-5,377-50,413-59,147-87,077-957,847-1,296,989-14,266,879-24,642,791-271,070,701

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