Q: What are the factor combinations of the number 271,374,455?

 A:
Positive:   1 x 2713744555 x 5427489111 x 2467040555 x 493408167 x 4050365335 x 810073737 x 3682153685 x 73643
Negative: -1 x -271374455-5 x -54274891-11 x -24670405-55 x -4934081-67 x -4050365-335 x -810073-737 x -368215-3685 x -73643


How do I find the factor combinations of the number 271,374,455?

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 271,374,455, 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.

1 271,374,455
-1 -271,374,455

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 271,374,455.

Example:
1 x 271,374,455 = 271,374,455
and
-1 x -271,374,455 = 271,374,455
Notice both answers equal 271,374,455

With that explanation out of the way, let's continue. Next, we take the number 271,374,455 and divide it by 2:

271,374,455 ÷ 2 = 135,687,227.5

If the quotient is a whole number, then 2 and 135,687,227.5 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:

1 271,374,455
-1 -271,374,455

Now, we try dividing 271,374,455 by 3:

271,374,455 ÷ 3 = 90,458,151.6667

If the quotient is a whole number, then 3 and 90,458,151.6667 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:

1 271,374,455
-1 -271,374,455

Let's try dividing by 4:

271,374,455 ÷ 4 = 67,843,613.75

If the quotient is a whole number, then 4 and 67,843,613.75 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:

1 271,374,455
-1 271,374,455
Keep dividing by the next highest number until you cannot divide anymore.

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

151155673357373,68573,643368,215810,0734,050,3654,934,08124,670,40554,274,891271,374,455
-1-5-11-55-67-335-737-3,685-73,643-368,215-810,073-4,050,365-4,934,081-24,670,405-54,274,891-271,374,455

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