Q: What are the factor combinations of the number 271,377,205?

 A:
Positive:   1 x 2713772055 x 5427544111 x 2467065517 x 1596336555 x 493413185 x 3192673187 x 1451215935 x 290243
Negative: -1 x -271377205-5 x -54275441-11 x -24670655-17 x -15963365-55 x -4934131-85 x -3192673-187 x -1451215-935 x -290243


How do I find the factor combinations of the number 271,377,205?

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 271,377,205, 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.

1 271,377,205
-1 -271,377,205

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 271,377,205.

Example:
1 x 271,377,205 = 271,377,205
and
-1 x -271,377,205 = 271,377,205
Notice both answers equal 271,377,205

With that explanation out of the way, let's continue. Next, we take the number 271,377,205 and divide it by 2:

271,377,205 ÷ 2 = 135,688,602.5

If the quotient is a whole number, then 2 and 135,688,602.5 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:

1 271,377,205
-1 -271,377,205

Now, we try dividing 271,377,205 by 3:

271,377,205 ÷ 3 = 90,459,068.3333

If the quotient is a whole number, then 3 and 90,459,068.3333 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:

1 271,377,205
-1 -271,377,205

Let's try dividing by 4:

271,377,205 ÷ 4 = 67,844,301.25

If the quotient is a whole number, then 4 and 67,844,301.25 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:

1 271,377,205
-1 271,377,205
Keep dividing by the next highest number until you cannot divide anymore.

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

1511175585187935290,2431,451,2153,192,6734,934,13115,963,36524,670,65554,275,441271,377,205
-1-5-11-17-55-85-187-935-290,243-1,451,215-3,192,673-4,934,131-15,963,365-24,670,655-54,275,441-271,377,205

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