Q: What are the factor combinations of the number 8,352,185?

 A:
Positive:   1 x 83521855 x 167043717 x 49130585 x 9826197 x 86105485 x 172211013 x 82451649 x 5065
Negative: -1 x -8352185-5 x -1670437-17 x -491305-85 x -98261-97 x -86105-485 x -17221-1013 x -8245-1649 x -5065


How do I find the factor combinations of the number 8,352,185?

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 8,352,185, 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 8,352,185
-1 -8,352,185

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 8,352,185.

Example:
1 x 8,352,185 = 8,352,185
and
-1 x -8,352,185 = 8,352,185
Notice both answers equal 8,352,185

With that explanation out of the way, let's continue. Next, we take the number 8,352,185 and divide it by 2:

8,352,185 ÷ 2 = 4,176,092.5

If the quotient is a whole number, then 2 and 4,176,092.5 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 8,352,185
-1 -8,352,185

Now, we try dividing 8,352,185 by 3:

8,352,185 ÷ 3 = 2,784,061.6667

If the quotient is a whole number, then 3 and 2,784,061.6667 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 8,352,185
-1 -8,352,185

Let's try dividing by 4:

8,352,185 ÷ 4 = 2,088,046.25

If the quotient is a whole number, then 4 and 2,088,046.25 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 8,352,185
-1 8,352,185
Keep dividing by the next highest number until you cannot divide anymore.

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

151785974851,0131,6495,0658,24517,22186,10598,261491,3051,670,4378,352,185
-1-5-17-85-97-485-1,013-1,649-5,065-8,245-17,221-86,105-98,261-491,305-1,670,437-8,352,185

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