Q: What are the factor combinations of the number 8,505,917?

 A:
Positive:   1 x 85059177 x 121513153 x 160489101 x 84217227 x 37471371 x 22927707 x 120311589 x 5353
Negative: -1 x -8505917-7 x -1215131-53 x -160489-101 x -84217-227 x -37471-371 x -22927-707 x -12031-1589 x -5353


How do I find the factor combinations of the number 8,505,917?

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 8,505,917, 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 8,505,917
-1 -8,505,917

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 8,505,917.

Example:
1 x 8,505,917 = 8,505,917
and
-1 x -8,505,917 = 8,505,917
Notice both answers equal 8,505,917

With that explanation out of the way, let's continue. Next, we take the number 8,505,917 and divide it by 2:

8,505,917 ÷ 2 = 4,252,958.5

If the quotient is a whole number, then 2 and 4,252,958.5 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 8,505,917
-1 -8,505,917

Now, we try dividing 8,505,917 by 3:

8,505,917 ÷ 3 = 2,835,305.6667

If the quotient is a whole number, then 3 and 2,835,305.6667 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 8,505,917
-1 -8,505,917

Let's try dividing by 4:

8,505,917 ÷ 4 = 2,126,479.25

If the quotient is a whole number, then 4 and 2,126,479.25 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 8,505,917
-1 8,505,917
Keep dividing by the next highest number until you cannot divide anymore.

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

17531012273717071,5895,35312,03122,92737,47184,217160,4891,215,1318,505,917
-1-7-53-101-227-371-707-1,589-5,353-12,031-22,927-37,471-84,217-160,489-1,215,131-8,505,917

More Examples

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