Q: What are the factor combinations of the number 215,500,103?

 A:
Positive:   1 x 2155001037 x 3078572913 x 1657693191 x 2368133151 x 14271531057 x 2038791963 x 10978113741 x 15683
Negative: -1 x -215500103-7 x -30785729-13 x -16576931-91 x -2368133-151 x -1427153-1057 x -203879-1963 x -109781-13741 x -15683


How do I find the factor combinations of the number 215,500,103?

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 215,500,103, 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.

1 215,500,103
-1 -215,500,103

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 215,500,103.

Example:
1 x 215,500,103 = 215,500,103
and
-1 x -215,500,103 = 215,500,103
Notice both answers equal 215,500,103

With that explanation out of the way, let's continue. Next, we take the number 215,500,103 and divide it by 2:

215,500,103 ÷ 2 = 107,750,051.5

If the quotient is a whole number, then 2 and 107,750,051.5 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:

1 215,500,103
-1 -215,500,103

Now, we try dividing 215,500,103 by 3:

215,500,103 ÷ 3 = 71,833,367.6667

If the quotient is a whole number, then 3 and 71,833,367.6667 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:

1 215,500,103
-1 -215,500,103

Let's try dividing by 4:

215,500,103 ÷ 4 = 53,875,025.75

If the quotient is a whole number, then 4 and 53,875,025.75 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:

1 215,500,103
-1 215,500,103
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911511,0571,96313,74115,683109,781203,8791,427,1532,368,13316,576,93130,785,729215,500,103
-1-7-13-91-151-1,057-1,963-13,741-15,683-109,781-203,879-1,427,153-2,368,133-16,576,931-30,785,729-215,500,103

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