Q: What are the factor combinations of the number 8,016,505?

 A:
Positive:   1 x 80165055 x 16033017 x 114521535 x 229043227 x 353151009 x 79451135 x 70631589 x 5045
Negative: -1 x -8016505-5 x -1603301-7 x -1145215-35 x -229043-227 x -35315-1009 x -7945-1135 x -7063-1589 x -5045


How do I find the factor combinations of the number 8,016,505?

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 8,016,505, 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 8,016,505
-1 -8,016,505

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 8,016,505.

Example:
1 x 8,016,505 = 8,016,505
and
-1 x -8,016,505 = 8,016,505
Notice both answers equal 8,016,505

With that explanation out of the way, let's continue. Next, we take the number 8,016,505 and divide it by 2:

8,016,505 ÷ 2 = 4,008,252.5

If the quotient is a whole number, then 2 and 4,008,252.5 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 8,016,505
-1 -8,016,505

Now, we try dividing 8,016,505 by 3:

8,016,505 ÷ 3 = 2,672,168.3333

If the quotient is a whole number, then 3 and 2,672,168.3333 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 8,016,505
-1 -8,016,505

Let's try dividing by 4:

8,016,505 ÷ 4 = 2,004,126.25

If the quotient is a whole number, then 4 and 2,004,126.25 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 8,016,505
-1 8,016,505
Keep dividing by the next highest number until you cannot divide anymore.

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

157352271,0091,1351,5895,0457,0637,94535,315229,0431,145,2151,603,3018,016,505
-1-5-7-35-227-1,009-1,135-1,589-5,045-7,063-7,945-35,315-229,043-1,145,215-1,603,301-8,016,505

More Examples

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