Q: What are the factor combinations of the number 8,577,625?

 A:
Positive:   1 x 85776255 x 17155257 x 122537525 x 34310535 x 245075125 x 68621175 x 49015875 x 9803
Negative: -1 x -8577625-5 x -1715525-7 x -1225375-25 x -343105-35 x -245075-125 x -68621-175 x -49015-875 x -9803


How do I find the factor combinations of the number 8,577,625?

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 8,577,625, 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 8,577,625
-1 -8,577,625

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 8,577,625.

Example:
1 x 8,577,625 = 8,577,625
and
-1 x -8,577,625 = 8,577,625
Notice both answers equal 8,577,625

With that explanation out of the way, let's continue. Next, we take the number 8,577,625 and divide it by 2:

8,577,625 ÷ 2 = 4,288,812.5

If the quotient is a whole number, then 2 and 4,288,812.5 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 8,577,625
-1 -8,577,625

Now, we try dividing 8,577,625 by 3:

8,577,625 ÷ 3 = 2,859,208.3333

If the quotient is a whole number, then 3 and 2,859,208.3333 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 8,577,625
-1 -8,577,625

Let's try dividing by 4:

8,577,625 ÷ 4 = 2,144,406.25

If the quotient is a whole number, then 4 and 2,144,406.25 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 8,577,625
-1 8,577,625
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351251758759,80349,01568,621245,075343,1051,225,3751,715,5258,577,625
-1-5-7-25-35-125-175-875-9,803-49,015-68,621-245,075-343,105-1,225,375-1,715,525-8,577,625

More Examples

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