Q: What are the factor combinations of the number 8,525,075?

 A:
Positive:   1 x 85250755 x 170501513 x 65577517 x 50147525 x 34100365 x 13115585 x 100295221 x 38575325 x 26231425 x 200591105 x 77151543 x 5525
Negative: -1 x -8525075-5 x -1705015-13 x -655775-17 x -501475-25 x -341003-65 x -131155-85 x -100295-221 x -38575-325 x -26231-425 x -20059-1105 x -7715-1543 x -5525


How do I find the factor combinations of the number 8,525,075?

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 8,525,075, 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 8,525,075
-1 -8,525,075

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 8,525,075.

Example:
1 x 8,525,075 = 8,525,075
and
-1 x -8,525,075 = 8,525,075
Notice both answers equal 8,525,075

With that explanation out of the way, let's continue. Next, we take the number 8,525,075 and divide it by 2:

8,525,075 ÷ 2 = 4,262,537.5

If the quotient is a whole number, then 2 and 4,262,537.5 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 8,525,075
-1 -8,525,075

Now, we try dividing 8,525,075 by 3:

8,525,075 ÷ 3 = 2,841,691.6667

If the quotient is a whole number, then 3 and 2,841,691.6667 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 8,525,075
-1 -8,525,075

Let's try dividing by 4:

8,525,075 ÷ 4 = 2,131,268.75

If the quotient is a whole number, then 4 and 2,131,268.75 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 8,525,075
-1 8,525,075
Keep dividing by the next highest number until you cannot divide anymore.

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

1513172565852213254251,1051,5435,5257,71520,05926,23138,575100,295131,155341,003501,475655,7751,705,0158,525,075
-1-5-13-17-25-65-85-221-325-425-1,105-1,543-5,525-7,715-20,059-26,231-38,575-100,295-131,155-341,003-501,475-655,775-1,705,015-8,525,075

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