Q: What are the factor combinations of the number 271,136,015?

 A:
Positive:   1 x 2711360155 x 54227203101 x 2684515137 x 1979095505 x 536903685 x 3958193919 x 6918513837 x 19595
Negative: -1 x -271136015-5 x -54227203-101 x -2684515-137 x -1979095-505 x -536903-685 x -395819-3919 x -69185-13837 x -19595


How do I find the factor combinations of the number 271,136,015?

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 271,136,015, 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.

1 271,136,015
-1 -271,136,015

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 271,136,015.

Example:
1 x 271,136,015 = 271,136,015
and
-1 x -271,136,015 = 271,136,015
Notice both answers equal 271,136,015

With that explanation out of the way, let's continue. Next, we take the number 271,136,015 and divide it by 2:

271,136,015 ÷ 2 = 135,568,007.5

If the quotient is a whole number, then 2 and 135,568,007.5 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:

1 271,136,015
-1 -271,136,015

Now, we try dividing 271,136,015 by 3:

271,136,015 ÷ 3 = 90,378,671.6667

If the quotient is a whole number, then 3 and 90,378,671.6667 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:

1 271,136,015
-1 -271,136,015

Let's try dividing by 4:

271,136,015 ÷ 4 = 67,784,003.75

If the quotient is a whole number, then 4 and 67,784,003.75 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:

1 271,136,015
-1 271,136,015
Keep dividing by the next highest number until you cannot divide anymore.

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

151011375056853,91913,83719,59569,185395,819536,9031,979,0952,684,51554,227,203271,136,015
-1-5-101-137-505-685-3,919-13,837-19,595-69,185-395,819-536,903-1,979,095-2,684,515-54,227,203-271,136,015

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