Q: What are the factor combinations of the number 7,215,871?

 A:
Positive:   1 x 721587113 x 55506717 x 424463103 x 70057221 x 32651317 x 227631339 x 53891751 x 4121
Negative: -1 x -7215871-13 x -555067-17 x -424463-103 x -70057-221 x -32651-317 x -22763-1339 x -5389-1751 x -4121


How do I find the factor combinations of the number 7,215,871?

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 7,215,871, 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 7,215,871
-1 -7,215,871

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 7,215,871.

Example:
1 x 7,215,871 = 7,215,871
and
-1 x -7,215,871 = 7,215,871
Notice both answers equal 7,215,871

With that explanation out of the way, let's continue. Next, we take the number 7,215,871 and divide it by 2:

7,215,871 ÷ 2 = 3,607,935.5

If the quotient is a whole number, then 2 and 3,607,935.5 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 7,215,871
-1 -7,215,871

Now, we try dividing 7,215,871 by 3:

7,215,871 ÷ 3 = 2,405,290.3333

If the quotient is a whole number, then 3 and 2,405,290.3333 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 7,215,871
-1 -7,215,871

Let's try dividing by 4:

7,215,871 ÷ 4 = 1,803,967.75

If the quotient is a whole number, then 4 and 1,803,967.75 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 7,215,871
-1 7,215,871
Keep dividing by the next highest number until you cannot divide anymore.

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

113171032213171,3391,7514,1215,38922,76332,65170,057424,463555,0677,215,871
-1-13-17-103-221-317-1,339-1,751-4,121-5,389-22,763-32,651-70,057-424,463-555,067-7,215,871

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