Q: What are the factor combinations of the number 271,053,055?

 A:
Positive:   1 x 2710530555 x 542106117 x 3872186513 x 2085023535 x 774437349 x 553169565 x 417004791 x 2978605245 x 1106339455 x 595721637 x 4255153185 x 85103
Negative: -1 x -271053055-5 x -54210611-7 x -38721865-13 x -20850235-35 x -7744373-49 x -5531695-65 x -4170047-91 x -2978605-245 x -1106339-455 x -595721-637 x -425515-3185 x -85103


How do I find the factor combinations of the number 271,053,055?

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 271,053,055, 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.

1 271,053,055
-1 -271,053,055

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 271,053,055.

Example:
1 x 271,053,055 = 271,053,055
and
-1 x -271,053,055 = 271,053,055
Notice both answers equal 271,053,055

With that explanation out of the way, let's continue. Next, we take the number 271,053,055 and divide it by 2:

271,053,055 ÷ 2 = 135,526,527.5

If the quotient is a whole number, then 2 and 135,526,527.5 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:

1 271,053,055
-1 -271,053,055

Now, we try dividing 271,053,055 by 3:

271,053,055 ÷ 3 = 90,351,018.3333

If the quotient is a whole number, then 3 and 90,351,018.3333 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:

1 271,053,055
-1 -271,053,055

Let's try dividing by 4:

271,053,055 ÷ 4 = 67,763,263.75

If the quotient is a whole number, then 4 and 67,763,263.75 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:

1 271,053,055
-1 271,053,055
Keep dividing by the next highest number until you cannot divide anymore.

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

15713354965912454556373,18585,103425,515595,7211,106,3392,978,6054,170,0475,531,6957,744,37320,850,23538,721,86554,210,611271,053,055
-1-5-7-13-35-49-65-91-245-455-637-3,185-85,103-425,515-595,721-1,106,339-2,978,605-4,170,047-5,531,695-7,744,373-20,850,235-38,721,865-54,210,611-271,053,055

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