Q: What are the factor combinations of the number 271,055,375?

 A:
Positive:   1 x 2710553755 x 5421107525 x 10842215125 x 2168443131 x 2069125655 x 4138253275 x 8276516375 x 16553
Negative: -1 x -271055375-5 x -54211075-25 x -10842215-125 x -2168443-131 x -2069125-655 x -413825-3275 x -82765-16375 x -16553


How do I find the factor combinations of the number 271,055,375?

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 271,055,375, 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.

1 271,055,375
-1 -271,055,375

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 271,055,375.

Example:
1 x 271,055,375 = 271,055,375
and
-1 x -271,055,375 = 271,055,375
Notice both answers equal 271,055,375

With that explanation out of the way, let's continue. Next, we take the number 271,055,375 and divide it by 2:

271,055,375 ÷ 2 = 135,527,687.5

If the quotient is a whole number, then 2 and 135,527,687.5 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:

1 271,055,375
-1 -271,055,375

Now, we try dividing 271,055,375 by 3:

271,055,375 ÷ 3 = 90,351,791.6667

If the quotient is a whole number, then 3 and 90,351,791.6667 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:

1 271,055,375
-1 -271,055,375

Let's try dividing by 4:

271,055,375 ÷ 4 = 67,763,843.75

If the quotient is a whole number, then 4 and 67,763,843.75 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:

1 271,055,375
-1 271,055,375
Keep dividing by the next highest number until you cannot divide anymore.

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

15251251316553,27516,37516,55382,765413,8252,069,1252,168,44310,842,21554,211,075271,055,375
-1-5-25-125-131-655-3,275-16,375-16,553-82,765-413,825-2,069,125-2,168,443-10,842,215-54,211,075-271,055,375

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