Q: What are the factor combinations of the number 85,481,825?

 A:
Positive:   1 x 854818255 x 1709636511 x 777107513 x 657552525 x 341927355 x 155421565 x 1315105143 x 597775275 x 310843325 x 263021715 x 1195553575 x 23911
Negative: -1 x -85481825-5 x -17096365-11 x -7771075-13 x -6575525-25 x -3419273-55 x -1554215-65 x -1315105-143 x -597775-275 x -310843-325 x -263021-715 x -119555-3575 x -23911


How do I find the factor combinations of the number 85,481,825?

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 85,481,825, 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 85,481,825
-1 -85,481,825

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 85,481,825.

Example:
1 x 85,481,825 = 85,481,825
and
-1 x -85,481,825 = 85,481,825
Notice both answers equal 85,481,825

With that explanation out of the way, let's continue. Next, we take the number 85,481,825 and divide it by 2:

85,481,825 ÷ 2 = 42,740,912.5

If the quotient is a whole number, then 2 and 42,740,912.5 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 85,481,825
-1 -85,481,825

Now, we try dividing 85,481,825 by 3:

85,481,825 ÷ 3 = 28,493,941.6667

If the quotient is a whole number, then 3 and 28,493,941.6667 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 85,481,825
-1 -85,481,825

Let's try dividing by 4:

85,481,825 ÷ 4 = 21,370,456.25

If the quotient is a whole number, then 4 and 21,370,456.25 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 85,481,825
-1 85,481,825
Keep dividing by the next highest number until you cannot divide anymore.

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

1511132555651432753257153,57523,911119,555263,021310,843597,7751,315,1051,554,2153,419,2736,575,5257,771,07517,096,36585,481,825
-1-5-11-13-25-55-65-143-275-325-715-3,575-23,911-119,555-263,021-310,843-597,775-1,315,105-1,554,215-3,419,273-6,575,525-7,771,075-17,096,365-85,481,825

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