Q: What are the factor combinations of the number 271,036,505?

 A:
Positive:   1 x 2710365055 x 54207301173 x 1566685431 x 628855727 x 372815865 x 3133372155 x 1257713635 x 74563
Negative: -1 x -271036505-5 x -54207301-173 x -1566685-431 x -628855-727 x -372815-865 x -313337-2155 x -125771-3635 x -74563


How do I find the factor combinations of the number 271,036,505?

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 271,036,505, 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.

1 271,036,505
-1 -271,036,505

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 271,036,505.

Example:
1 x 271,036,505 = 271,036,505
and
-1 x -271,036,505 = 271,036,505
Notice both answers equal 271,036,505

With that explanation out of the way, let's continue. Next, we take the number 271,036,505 and divide it by 2:

271,036,505 ÷ 2 = 135,518,252.5

If the quotient is a whole number, then 2 and 135,518,252.5 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:

1 271,036,505
-1 -271,036,505

Now, we try dividing 271,036,505 by 3:

271,036,505 ÷ 3 = 90,345,501.6667

If the quotient is a whole number, then 3 and 90,345,501.6667 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:

1 271,036,505
-1 -271,036,505

Let's try dividing by 4:

271,036,505 ÷ 4 = 67,759,126.25

If the quotient is a whole number, then 4 and 67,759,126.25 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:

1 271,036,505
-1 271,036,505
Keep dividing by the next highest number until you cannot divide anymore.

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

151734317278652,1553,63574,563125,771313,337372,815628,8551,566,68554,207,301271,036,505
-1-5-173-431-727-865-2,155-3,635-74,563-125,771-313,337-372,815-628,855-1,566,685-54,207,301-271,036,505

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