Q: What are the factor combinations of the number 48,271,273?

 A:
Positive:   1 x 4827127323 x 209875137 x 1304629131 x 368483433 x 111481851 x 567233013 x 160214847 x 9959
Negative: -1 x -48271273-23 x -2098751-37 x -1304629-131 x -368483-433 x -111481-851 x -56723-3013 x -16021-4847 x -9959


How do I find the factor combinations of the number 48,271,273?

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 48,271,273, 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 48,271,273
-1 -48,271,273

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 48,271,273.

Example:
1 x 48,271,273 = 48,271,273
and
-1 x -48,271,273 = 48,271,273
Notice both answers equal 48,271,273

With that explanation out of the way, let's continue. Next, we take the number 48,271,273 and divide it by 2:

48,271,273 ÷ 2 = 24,135,636.5

If the quotient is a whole number, then 2 and 24,135,636.5 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 48,271,273
-1 -48,271,273

Now, we try dividing 48,271,273 by 3:

48,271,273 ÷ 3 = 16,090,424.3333

If the quotient is a whole number, then 3 and 16,090,424.3333 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 48,271,273
-1 -48,271,273

Let's try dividing by 4:

48,271,273 ÷ 4 = 12,067,818.25

If the quotient is a whole number, then 4 and 12,067,818.25 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 48,271,273
-1 48,271,273
Keep dividing by the next highest number until you cannot divide anymore.

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

123371314338513,0134,8479,95916,02156,723111,481368,4831,304,6292,098,75148,271,273
-1-23-37-131-433-851-3,013-4,847-9,959-16,021-56,723-111,481-368,483-1,304,629-2,098,751-48,271,273

More Examples

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