Q: What are the factor combinations of the number 271,684,081?

 A:
Positive:   1 x 27168408137 x 734281341 x 662644179 x 34390391517 x 1790932267 x 1198432923 x 929473239 x 83879
Negative: -1 x -271684081-37 x -7342813-41 x -6626441-79 x -3439039-1517 x -179093-2267 x -119843-2923 x -92947-3239 x -83879


How do I find the factor combinations of the number 271,684,081?

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 271,684,081, 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.

1 271,684,081
-1 -271,684,081

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 271,684,081.

Example:
1 x 271,684,081 = 271,684,081
and
-1 x -271,684,081 = 271,684,081
Notice both answers equal 271,684,081

With that explanation out of the way, let's continue. Next, we take the number 271,684,081 and divide it by 2:

271,684,081 ÷ 2 = 135,842,040.5

If the quotient is a whole number, then 2 and 135,842,040.5 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:

1 271,684,081
-1 -271,684,081

Now, we try dividing 271,684,081 by 3:

271,684,081 ÷ 3 = 90,561,360.3333

If the quotient is a whole number, then 3 and 90,561,360.3333 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:

1 271,684,081
-1 -271,684,081

Let's try dividing by 4:

271,684,081 ÷ 4 = 67,921,020.25

If the quotient is a whole number, then 4 and 67,921,020.25 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:

1 271,684,081
-1 271,684,081
Keep dividing by the next highest number until you cannot divide anymore.

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

13741791,5172,2672,9233,23983,87992,947119,843179,0933,439,0396,626,4417,342,813271,684,081
-1-37-41-79-1,517-2,267-2,923-3,239-83,879-92,947-119,843-179,093-3,439,039-6,626,441-7,342,813-271,684,081

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